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20320</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Part 2: Vocabulary:</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11.<span class="Apple-converted-space"> </span>J</span></p> <p><span class="s1">12. A</span></p> <p><span class="s1">13. B</span></p> <p><span class="s1">14. I</span></p> <p><span class="s1">15. G</span></p> <p><span class="s1">16. H</span></p> <p><span class="s1">17. C</span></p> <p><span class="s1">18. E</span></p> <p><span class="s1">19. F</span></p> <p><span class="s1">20. D</span></p> <p><br></p> <p><span class="s1">22241</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(m)</span></p> <p><span class="s1">3 - 2x = 15</span></p> <p><span class="s1">2x = 3 - 15</span></p> <p><span class="s1">2x = -12</span></p> <p><span class="s1">x = -6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(n)<span class="Apple-converted-space"></span></span></p> <p><span class="s1">2/3y - 11 = 3</span></p> <p><span class="s1">2/3y = 3 + 11</span></p> <p><span class="s1">2/3y = 14</span></p> <p><span class="s1">2y = 42</span></p> <p><span class="s1">y= 21</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(o)</span></p> <p><span class="s1">6t + 5 = -11</span></p> <p><span class="s1">6t = -11 - 5</span></p> <p><span class="s1">6t = -16</span></p> <p><span class="s1">T = -16/6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(p)</span></p> <p><span class="s1">6 - m = -4</span></p> <p><span class="s1">m = 6 + 4</span></p> <p><span class="s1">m= 10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2</span></p> <p><span class="s1">(x + 3) (x - 1)</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> - x + 3x - 3</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> + 2x - 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(2x + 6) (3x + 4)</span></p> <p><span class="s1"><span class="Apple-converted-space"></span>6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 8x + 18x + 24</span></p> <p><span class="s1">6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 26x + 24</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>7</sup></span><span class="s1">)</span></p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>2</sup></span><span class="s1">n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1">(n</span><span class="s2"><sup>2</sup></span><span class="s1">) (-4 </span><span class="s2"><strong><sup>. </sup></strong></span><span class="s1">5n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(2x)</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5x</span><span class="s2"><sup>4</sup></span><span class="s1">)</span><span class="s2"><sup>2</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>8</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>3</sup></span><span class="s1">x</span><span class="s2"><sup>5</sup></span></p> <p><span class="s1">(x</span><span class="s2"><sup>3</sup></span><span class="s1">)(8+ 25x</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><br></p> <p><br></p> <p><span class="s1">22622</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Across</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2. Volere</span></p> <p><span class="s1">3. Salve</span></p> <p><span class="s1">5. Auguri</span></p> <p><span class="s1">7. Buon natale</span></p> <p><span class="s1">9. Ciao</span></p> <p><span class="s1">10. Buonasera</span></p> <p><span class="s1">11. Molti</span></p> <p><span class="s1">12. Biglietto di auguri</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Down</span></p> <ol> <li><span class="s1">Buon compleanno</span></li> </ol> <p><span class="s1">4.<span class="Apple-converted-space"> </span>Buona notte</span></p> <p><span class="s1">6. Buona pasqua</span></p> <p><span class="s1">7. Buona giornata<span class="Apple-converted-space"></span></span></p> <p><span class="s1">8. Addio</span></p> <p><br></p> <p><span class="s1">23413</span></p> <p><span class="s1">Enzyme Worksheet</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Proteins</span></li> <li><span class="s1">Enzymes catalyse vital reactions in the body by lowering the activation energy of a reaction. For example, they allow digestive processes to function.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">3.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">4.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1" <the="" enzyme="" binds="" to="" the="" substrate="" create="" an="" complex.="" lowers="" activation="" energy="" of="" reaction="" and="" works="" on="" catalyse="" a="" reaction.="" as="" result,="" product="" is="" formed.="" in="" final="" stage,="" releases="" from="" free="" continue="" catalysing="" other="" reactions.="">span class="Apple-converted-space"></span></p> <p><br></p> <p><br></p> <p><span class="s1">30454</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">(1)</span></li> <li><span class="s1">(3)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(4)</span></li></ol> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">31744</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1. Paolo è in un negozio che vende cappelli al mercato.</span></p> <p><span class="s1">2. Paolo parla con il commerciante.</span></p> <p><span class="s1">3. sta comprando un cappello.</span></p> <p><span class="s1">4. il cappello costava trenta euro all'inizio.</span></p> <p><span class="s1">5. il cappello costa venticinque Euro alla fine.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">33434</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Elena</span></li> <li><span class="s1">Giovanni</span></li> <li><span class="s1">Carla</span></li> <li><span class="s1">Giovanna</span></li> <li><span class="s1">Mario</span></li> <li><span class="s1">Laura</span></li> <li><span class="s1">Sofia</span></li> <li><span class="s1">Paulo</span></li> <li><span class="s1">Rosa</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">Le ragazze: Andrea, Laura, Valentina, Beatrice, Cristina, Sara, Anna</span></p> <p><span class="s1">I ragazzi: Gregorio, Davide, Franco, Giuseppe, Luca</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">34448</span></p> <p><span class="s1"></span> </p> <p><span class="s1">6. gli occhiali da sole</span></p> <p><span class="s1">3. il quaderno</span></p> <p><span class="s1">4. la caramelle</span></p> <p><span class="s1">5. il biglietto</span></p> <p><span class="s1">2. il CD</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Il biglietto costa otto euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Il quaderno costa sei euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Le caramelle costano nove euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Gli occhiali costano venti e quattro euro.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">37640</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Take Home Test</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1(a) x + 3 = 11</span></p> <p><span class="s1">x = 11 - 3</span></p> <p><span class="s1">x = 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) t - 11 = -5</span></p> <p><span class="s1">t = -5 + 11</span></p> <p><span class="s1">t = 6 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(c) 5 x = 20</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(d) -2y = -18</span></p> <p><span class="s1">2y = 18</span></p> <p><span class="s1">y = 9<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(e) x/6 = -5</span></p> <p><span class="s1">x = -5(6)</span></p> <p><span class="s1">x = -30</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(f) y/-3 = 12</span></p> <p><span class="s1">y = 12(-3)</span></p> <p><span class="s1">y = -36 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(g) 1/2x = 7</span></p> <p><span class="s1">1 = 2x (7)</span></p> <p><span class="s1">1 = 14x</span></p> <p><span class="s1">x = 1/14</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(h) 3x + 5 = 17</span></p> <p><span class="s1">3x = 17 - 5</span></p> <p><span class="s1">3x = 12</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">-2c + 7 = 11</span></li> </ol> <p><span class="s1">-2c = 11 - 7</span></p> <p><span class="s1">2c = -4</span></p> <p><span class="s1">c = -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(j) x/4 - 5 = 2</span></p> <p><span class="s1">x/4 = 2 + 5</span></p> <p><span class="s1">x = (7) (4)</span></p> <p><span class="s1">x = 28</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(k) 2t/3 = -10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2t = -30</span></p> <p><span class="s1">t = -15<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(l) (y - 4)/2 = 8</span></p> <p><span class="s1">(y - 4) = 16</span></p> <p><span class="s1">y = 16 + 4</span></p> <p><span class="s1">y= 20<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">43514</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5. Draw and label an inhibitor affecting an enzyme reaction:<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">6. What 2 environmental conditions can affect the activity of an enzyme</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Temperature and substrate concentration</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7. The enzyme functions at the optimal pH of 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">8. The optimal temperature is 35.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">9. When the pH is two, the enzyme is completely inactive.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">10. The optimal pH for intestinal protease is 9.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11. The optimal pH for gastric protease is 5.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">12. Gastric protease.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1">45737<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society because they formed a robust framework for our legal system, and because we continue to believe that parents have power over children, that the law should govern people, and that the law should safeguard the interests of individuals.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society but we no longer observe obsolete laws that prevent women from being witnesses or that continue to enforce slavery.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society so we continue to have laws that enforce the need for witnesses in the making of a testament or will.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">45742</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Answers in Italian</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">il grande magazzino è in via Tuscolana.<span class="Apple-converted-space"></span></span></li> <li><span class="s1">Laura suggerisce di fare acquisti in una boutique invece.</span></li> <li><span class="s1">Gina ha bisogno di comprare un regalo per la sorella Anna.<span class="Apple-converted-sXXXX"></span></span></li> <li><span XXXXX="XX">XXXX non XXXXX andare in una XXXXXXXX XXXXXX le XXXXXXXX sono XXXXX XXXXXXX.</span></li> <li><span class="XX"> XXXX XXXXXX di XXXXXXXX un XXXX di pantaloni.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Answers in English:<span class="Apple-converted-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X. The department XXXXX is in via XXXXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">2. Laura suggests XX XXXX at a boutique XXXXXXX.</span></p> <p><span XXXXX="XX">X. Gina needs XX XXX a gift for her sister XXXX.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">X. XXXX does not XXXX XX go to a XXXXXXXX XXXXXXX XXX boutiques are very XXXXXXXXX.</span></p> <p><span XXXXX="XX">5. XXXX XXXXXXX XX XXX a pair XX XXXXXXXX.</span></p> <p><XX></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">[XXXXX part XX XXX XXXXXXXXXX XXXXXX be completed as it is an XXXX XXXXXXXXXX]</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXXX: XXXX in the XXXXXXXXXXX number in Italian<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">1. XXXXXXXX per due XXXXX quarantasei (XX)</span></p> <p><span class="s1">2. Cento XXXXXX XXXXXXX XX XXXXXXXXXXX (XX)</span></p> <p><span class="s1">X. XXXXXXXXXX XXX XXXXXXXX XX sessantatre (63)</span></p> <p><span class="XX">4. XXXXXXXXXXXX meno XXXXXXXXXXXXX fa XXXXXXXXX (XX)</span></p> <p><span XXXXX="s1">5. XXXXXXX XXXXXX due XX quaranta (40)</span></p> <p><span XXXXX="XX">6. Sessantasei meno trentuno XX XXXXXXXXXXXX (XX)</span></p> <p><span XXXXX="s1">7. XXXXXXXXXXXX XXXXXX ventotto fa XXX (X)</span></p> <p><span class="s1">X. Quattordici piu XXXXXXXXXXXXX XX XXXXXXXXX (91)</span></p> <p><span XXXXX="XX">X. XXXXX per XXXX XXXXX XXXXX XXXXXXXXXXXX (56)</span></p> <p><span XXXXX="XX">XX. XXXXXXXX XXX sei XX XXXXXXX (90)</span></p> <p><XX></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXX</span></p> <p><span class="XX"></span> </p> <ol> <li><span class="s1">B.<span class="Apple-XXXXXXXXX-space"> </span>The hormone referred to in XXXX feedback XXXXXXXXX XX insulin. XXX XXXXXX XX (B)</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="XX">2.<span XXXXX="Apple-converted-space"> </span>The answer XX (B) XXXXXXXX mechanisms</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">3. The answer is (B)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">4. XXX XXXXXX XX (X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">5. XXX answer is (D)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">6. XXX answer XX (X)</span></p> <p><br></p> <p><span XXXXX="XX">59943</span></p> <p><span class="XX"></span> </p> <ol> <li><span class="XX">XXXXXX XXXXX XX vestito?</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Il vestito XXXXX XXXXXXXX euro.</span></p> <p><span class="XX">X. Quanto XXXXXXX la camicia, la XXXXXXXX, i pantaloni e la giacca? (XXXXXX XX answered because XXX XXXXXX are blurred)</span></p> <p><span class="XX">X. Quanto XXXXXXX i jeans e XX XXXXXXXX?<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XX jeans e XX XXXXXXXX costano centocinque euro.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">4. XXXXXX costano la camicietta e la XXXXX? (cannot be XXXXXXXX XXXXXXX XXX prices are XXXXXXX)</span></p> <p><span XXXXX="s1">X. XXXXXX cosstano il parka, i guanti e la XXXXXXX? (XXXXXX XX XXXXXXXX because the XXXXXX are XXXXXXX)</span></p> <p><span class="s1"></span> </p> <p><br></p> <p><XX></p> <p><span XXXXX="XX">77256</span></p> <p><span class="XX">Topic : I XXXXXX: Quanti anni XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">uno, <XXXXXX>XXX, </XXXXXX>tre <strong>quattro</XXXXXX> XXXXXX <strong>XXX</strong> XXXXX <strong>XXXX </strong>nove <XXXXXX>XXXXX<span XXXXX="XXXXX-XXXXXXXXX-space"></span></strong></span></p> <p><span class="s1">undici <strong>dodici </strong>tredici <strong>XXXXXXXXXXX </strong>quindici <strong>sedici</XXXXXX></span></p> <p><span class="s1"><strong>d</XXXXXX>iciassette<span XXXXX="XXXXX-converted-XXXXX"> </span><strong>diciotto </XXXXXX>XXXXXXXXXX <strong>XXXXX</XXXXXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX"><strong>[XXX XXXX activity XXXXXX be completed XXXXXXX it XX an XXXX XXXXXXXX]</XXXXXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXX. Topic: I numeri XXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <ol> <li><span class="s1">XXX - XXXX: cinque XXXX XXXX - XXX due sei XXXXXXX<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></li> <li><span class="XX">XXX - XXXX: XXXX quattro tre - XXXXX nove sei uno</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X. <XXXXXX>[The XXXX XXXXXXXX XXXXXX XX completed because it XX an oral exercise]</strong></span></p> <p><span XXXXX="s1"></span> </p> <p><br></p> <p><br></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXX</span></p> <p><span class="s1">XXXXXXX Lab XXXX D XXXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">1.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">XXXXXXXXX blood flow XXXXX muscle cells XXXXXXX XXXX energy XXXXXXX XXXXX delivers XXX XXXXXXXX needed XXX XXX cell to XXXXXXX catalytic reactions, XXXX XX oxygen, XXXXXXXXX, vitamins, minerals and XXXXXXX.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">2.</span></p> <p><span class="XX">The XXX XXXXXXXXX may XX XX a XXXXXXXXX XXXXX after the indicator has XXXX XXXXX to XXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">Pair X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXXX system, alongside the XXXXXXXXXXX XXXXXX, helps XX secrete hormones XXX regulate XXXXXX processes. XX consists of XXX XXXXXXXXX gland, XXX thyroid XXXXX ,XXX XXXXXXXX, the XXXXXXX XXXXXX and the testes (or XXXXXXX in XXXXXXX). XXX XXXXXXXXXX XX the XXXXXXXXX system XXX XXXXXXXXXXX XXXXXXX XXX XXXXX XXX XXXXXXXX XX the XXXXXXXXXXX XXXXXX, XXXXX XXXX travel XXX XXX at XXXXXXX active sites in XXX body. These XXXX to maintain XXXXXXXXXXX in an individual, by secreting hormones XXXX regulate bodily XXXXXXXXXXXXXXX such XX temperature.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Base your answers to XXXXXXXX 4 and X XX XXX XXXXXXXXXXX XXX data table XXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">4. As activity increases, pulse rate XXXXXXXXX.</span></p> <p><span class="s1">X. The investigation could XX XXXXXXXX by increasing the sample XXXX of XXX experiment XX XXXXXXX more students, as XXXXX XXXXX XXXXXX by student. The students XXXXX also sample a XXXXXX variety XX XXXXXXXXXX, such XX XXXXXXXX or XXXXX down states.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">6. (X)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">7.<span XXXXX="Apple-converted-XXXXX"> </span>XXX histogram includes XXXX from X+X+6+X+X+X = 27 XXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">8. X XXXXX XXXX XXXXX 45 would prevent XXX XXXXXXXXX XXX XXXXXX XXXXXXXXXXX XX regulatory XXXXXXXX XXXX XXXXXXXX XXXXX XXXXXX, XXXXXXXXXXX, XXXXXX dioxide XXXXXX and XXXXX XXXXXXXX bodily conditions, because hormones XXXXX not be able XX reach XXX XXXXXX XXXXX in time.This would slow down and disrupt XXX process of XXXXXXXXXXX.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">9. XXX XXXX XXXXX XXXXXXX XXXXXX XXXXX rates XXXXXX XXX XXXXX XXXXXXXX XX average XXXXX XXXXX (in XXXXX words, the XXXXX XXXXX shift XX).</span></p> <p><XX></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">03039</span></p> <p><span class="s1"></span> </p> <ol> <li><span XXXXX="s1">Marina vuole XXXXXXXXXX un dizionario XXXXXXXX-inglese.</span></li> <li><span XXXXX="XX">Questo XXXXX Gilberti XXXXX trentadue XXXX</span></li> <li><span class="s1">Lei XXX lo XXXXXX XXXXXX XXXXX troppo</span></li> <li><span class="XX">Prende il dizionario XXX XXXXXXXXX XXX XXXXX XXXXXXX euro e XXXXXXXXX XXXXXXXXX.</span></li> <li><span class="s1">È XXXXX incaricata di pagare XXXX cassiera.</span></li><li></li> </ol> <p><span class="XX">XXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Evidence of XXXXXXX XXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXXXX XXXXXX XXX Fasting Version</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX in the margins:</span></p> <p><span class="s1">“The XXXXXXXX… XXX to ward XXX XXXXXXXXXX”</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">“XXXXX I get XXXXXXX, I XXX’t want XX play that XXXX.”</span></p> <p><span XXXXX="s1"> “He XXX XXXXXX XXXX sunup XX sundown each day XXXXX XXX holiday XXXXXXX Aug 11.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">“Out: XXXXXX XX the beach (too thirst inducing). Out: pizza lunch with friends. XXX: playing XXXXXXXXXX XXX XXXXX.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">“ XXXXX the fast XXXXX… [both] XXXX XXXXXX up until the XXXXX XXXXX of the XXXXXXX so they could XXXXX XXXXXXX many XX the hours of XXXX. “</span></p> <p><span class="s1"></span> </p> <p><span class="XX">“He plays XXXXX XXXXX XXX XXXXXXX XXXXXX until XXXXX XXX, then XXXXXX XXXXX XXX, by XXXXX time XXX evening XXXXXXXXX banquet is in sight.”</span></p> <p><span class="XX"></span> </p> <p><span class="XX">“XXX young women said XXXX XXXXX XXXXX XXXXXXX XXXX XXXXXX.”</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Author: New XXXX Times, XXXXX Dominus</span></p> <p><span class="s1">Point of View: XXXXXXX, investigative XXXXXXXXXX</span></p> <p><span class="s1">When Doc XXX XXXXXXX: XXXX-X-XX</span></p> <p><span class="s1">Purpose: Investigate XXXXXXXXXX, education, XXXXXXXXXXXXX</span></p> <p><span XXXXX="s1">XXXXXXXX: XXXXXXX public</span></p> <p><span class="XX">This XXXXXXXX is reliable because it XXX XXXXXXXXX XX a leading newspaper with trained XXXXXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXX XXXX XXXX reading show XX XXXXX XXXXX a XXXXXX XXXXXX the XXXX month XX XXXXXXX?</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXX XXXXXXXX from the XXXXXXX:</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1" <XXX="" XXXXXXX="" suggests="" XXXX="" XXXXXXX="" XXXX="" XX="" observe="" fasting="" (or="" abstinence="" from="" food)="" sunrise="" sundown,="" which="" XXXXXXXX="" food="" and="" water.="">span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Analysis:<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX" <this="" XXXXXXX="" shows="" that="" XXX="" XXXXXXX="" practice="" XXXXXX="" ramadan="" XXXXXXXX="" muslims="" XXXX="" engaging="" in="" typical="" social="" activities="" XXXX="" as="" XXXXX="" out="" XX="" XXXXX,="" due="" fears="" of="" XXXXXX="" XXX="" hunger.="" XXXX="" how="" XXXX="" muslim="" youth="" XXXXXX="" their="" sleeping="" XXXXXXXX="" fit="" XXXXX.="">span class="Apple-XXXXXXXXX-space"></span></p> <p><XX></p> <p><XX></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXX/05729</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX Epic of XXXXXXXXX is an XXXXXXX XXXX XXX XXXXXXXX XXXX with XXXXXXXXXX XXXXXXXX XXXXX, XXXX has XXXX studied for centuries. This essay XXXX analyse XXX excerpt XXXX XXX Epic XX Gilgamesh with regard XX three XXXXXX: the legitimacy XX government, the XXXXX-rural XXXXXX and the XXXXXX of women.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXXX, XXX XXXXXXX shows how a cruel XXXX, Gilgamesh, forces his people XX build a great XXXX XXXXXX the city XXX made XXX people XXXXXXXX. XX a result, the XXXXXX XXXXX out for mercy, but XXXXXXXXX XXX cruel XXX XXXXXX, XXX so XXX XXX listen to XXX XXXXXXXXX XX XXX XXXXXX. The XXX God created a challenger, Enkidu, as a result.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">This XXXXXXXXXXXX how XXXX government XXXXXX always XX in accordance XXXX XXX will of the people, XXX XX responsive to their XXXXX. XXXXXXXXXXX XXXXXX XXX XXXXX today XXXXXXXXXX neglect XXX needs XX XXXXX XXXXXX, XXX in so doing, create rebellious populations and XXX XXXXX XX XXXXX own demise.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Second, the Epic of XXXXXXXXX XXXXXXXXXXXX the XXXXXXXXXXX between XXXXXXXXX, XXX XX a XXXX-XXXXXXX ruler XXXXXX XXXXX XXXXX XXXXXXXX, and his rival Enkidu, XXX is kind hearted XXX XXXXXX in XXXXXX. This XXXXXXXXXXXX the XXXXXXXXXX XXXXXXX XXXXXX XXX grew XX in XXXXX environments XXX people who XXXX XX in XXXXX XXXXXXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX, the XXXXXXX gives its XXXXXXX a XXXX as to the XXXXXX of women in ancient XXXXXXXXXXXX and XXXXXXXX XXXXXXX. XXXXXXX is only given XXXXX XXX agency XX an XXXXXXXXXX XXX XXXXXXX XXXXXX through her sexuality and charm. XXXX may XXXXXXXX that XXXXXXX societies XXXXXXXXXXXXX saw women XX XXXXXXX XX attraction, XXX XX objects to be XXXX.<span class="Apple-converted-space"></span></span></p> <p><XX></p> <p><span XXXXX="XX">5267</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>Question<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Blood XXXXXXX XXXXXXXXXXXXX XXXX XXXX (x = XXXX(h), y = blood glucose concentration)<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">8. XXX likely cause for XXX XXXXXX in blood glucose XXXXXXXXXXXXX XXXXXXX hour XX XXX XXXX 24 XX XXX digestion and metabolization of XXXX XXXXXX XXXXXXX XXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">9. XXX blood XXXXXXX concentration change should have XXXX XXXX pronounced (ie. XXX drop in XXXXX XXXXXXX or rise in XXXXX XXXXXXX would have been XXXXXXX)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XX.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">The answer is Row X (X = XXXXXXXXX, X = XXXXXXXXXX)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">11.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">(2) making XXXX XXXXXXX X, XXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">12.</span></p> <p><span XXXXX="XX">(3) XXXXXX the carbohydrate XXXXXX in body system X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XX.</span></p> <p><span XXXXX="s1">(X) start XX XXXXXXXX the synthesis of hormone X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><br></p> <p><XX></p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <ol> <li><span class="s1">XXX.</span></li> <li><span XXXXX="XX">XXX.</span></li> <li><span class="XX">Yes.</span></li> <li><span XXXXX="s1">Which law XXXX? - I agree XXXX law code A as it lays XXXX XXXXX XXXXX XXX XXXXXXXXXXXX XXX XXXXXXXX which XXXXXXX marital XXXXXXXX and abuse.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="XX">Historic context</span></p> <p><span class="XX">Who: XXXXXXXXX</span></p> <p><span class="s1">What: Description of XXXXXXXXX’s reign, XXXXXXXXX, XXXXX regime XXX XXXXXXXXX achievements</span></p> <p><span XXXXX="XX">When: XXXXX century</span></p> <p><span class="s1">XXX: XXXX XX consolidate XXX control his expanding political XXXXXX, to unify his empire and provide a XXXXX of XXXXXXXXX for his people.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXX 3</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX: Justinian</span></p> <p><span XXXXX="XX">XXXXX: Byzantine XXXXXX</span></p> <p><span XXXXX="XX">How:<span class="Apple-converted-space"> </span>XXXXXXX unified law, XXXXXXXXX XXXXXXX in the XXXXXXX Orthodox XXXXXX, XXXXXXXXX a XXXXXXXXXXX XXXXXXXXXX, XXXXXXXXX XXXXX, drafted XXXXXXXXX’s Code which XXXXXXXX laws XX marriage, XXXXXXX, XXXXXXXX, ownership, women’s rights and criminal XXXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX 1: Same XXXXXXXXXX? NO.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Scenario X: Same punishment? XX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Scenario X: Same punishment? XX.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><XX></p> <p><span class="XX">08031</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXX XXXX was oral; could not XX XXXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">X. Identificazioni.<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">1. X la fronte.</span></p> <p><span class="XX">X. questi XXXX i XXXXX.</span></p> <p><span XXXXX="s1">X. è la bocca.</span></p> <p><span class="XX">4. XXXXXX sono gli occhi.</span></p> <p><span class="s1">X. X la XXXXXX.</span></p> <p><span XXXXX="XX">6. queste XXXX le mani.</span></p> <p><span class="XX">X. questo è lo XXXXXXX.</span></p> <p><span XXXXX="XX">8. è XX collo.</span></p> <p><span XXXXX="s1">9. XXXXXX è la XXXX.</span></p> <p><XX></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Quanto costano</span></p> <p><span class="s1">Quanto XXXXX?</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Exercise X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">X.XX caffe XXXXXXXXXXXX costa novanta XXXXXXXXX<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">2. Un caffe freddo XXXXX XXXXXXXXXXXXX XXXXXXXXX</span></p> <p><span XXXXX="XX">X. XX cappucino XXXXX un XXXX e venti</span></p> <p><span XXXXX="XX">4. Un cioccolato in XXXXX XXXXX un euro e cinquanta</span></p> <p><span class="s1">5. XX XX costa un XXXX e XXXXXX</span></p> <p><span XXXXX="XX">6. XX latte in bicchiere XXXXX settantacinque centesimi<span class="Apple-converted-space"></span></span></p> <p><span class="s1">7. XX XX freddo costa XX euro</span></p> <p><span XXXXX="s1">8. XX XXXXXX in XXXXXXX XXXXX un XXXX e XXXXXXX</span></p> <p><span XXXXX="XX">9. I succhi di XXXXXX costa due XXXX e XXXXX</span></p> <p><span XXXXX="s1">XX. Le spremute di XXXXXX costa due XXXX e sessanta</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXXXXX X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XX biglietto per XX Gran XXXXXXXX XXXXX seicento XXXXXXX</span></p> <p><span XXXXX="s1">Un XXXXXXXXX XXX XX Portogallo costa XX XXXXX XXXXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Un XXXXXXXXX per il XXXXXX costa XX XXXXX trecento XXXXXXXXXX XXXX.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">XX XXXXXXXXX XXX il Francia costa XXXXXXXXX XXXXXXXXXXXXXX euro.</span></p> <p><span XXXXX="XX">Un XXXXXXXXX per il XXXXXX costa XX mille XXXXXXXX ventinove.</span></p> <p><span XXXXX="XX">Un XXXXXXXXX XXX XX XXXXXXX XXXXX novecento XXXXXXXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">XX XXXXXXXXX XXX il Germania costa XX mille centouno XXXXXXXXXX</span></p> <p><span class="s1">XX biglietto XXX il Italia costa XX XXXXX XXXXXXXXXXXXXX</span></p> <p><br></p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="s1">XXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX alle XXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">X.La XXXXXXX e il XXXXX costano trentanove euro o XXXXXXXXXX XXXXXXX.<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">X. Il XXXXX e XX cappello XXXXXXX XXXXXXXX euro o XXXXXXXX dollari.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">3. La XXXXXXX, il XXXXXXXX ed i pantaloni costano XXXXXXXXXXXX euro o XXXXXXXXXXXX XXXXXXX.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">4. XXX XXXXXXX costano cento euro o XXXXX XXXXXXX.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">X. Con centoventicinque XXXX, XXXXX XXXXXXXX XXXXX tranne gli XXXXXXX.</span></p> <p><span XXXXX="XX"></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">1. Il XXXXX è di due XXXX e settanta centesimi.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">2. Il resto è di trenta centesimi.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">3. XX XXXXX X di XXXXXXX centesimi.<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="s1">X. Il XXXXX X di XXX euro e XXXXXXXXXXXXXXX centesimi.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">5. XX XXXXX è di XXXXXX euro e XXXXXXXXXX XXXXXXXXX.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">6. XX resto X di XXXXXXXXXXXX centesimi.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <ol> <li><span XXXXX="XX">XX televisione costa XXXXXXXXXXXXXXXXX XXXX.</span></li> <li><span class="XX">X'XXXXXXXXXX XXXXX XXXXXXX cinquecento euro.</span></li> </ol> <p><span XXXXX="XX">3. XX macchina fotografica XXXXX duecentoventicinque euro.</span></p> <p><span XXXXX="XX">4. XX XXXXXX costa duemila XXXX</span></p> <p><span XXXXX="s1">5. La casa XXXXX XXXXXXXXXXXXXXXX XXXX.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><br></p> <p><span XXXXX="s1">XXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX XXXXX and years</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X l'XXXX duemila XXXXXXXX</span></p> <p><span class="s1">XXXX l’XXXX duemila diciannove nel gennaio</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">XXXX XXXX nel XXXXXXXXXXXXXX XXXXXXXXXXXXXXXX 1954</span></li> <li><span XXXXX="XX">XXXX nato XXX XXXXXXX quattordici XXXX</span></li> <li><span class="XX">Sono XXXX nel millenovecento settantacinque 1975</span></li> <li><span class="XX">Sono XXXX XXX XXXXXXXXXXXXXX XXXXXXXXXXXXXXX</span></li> <li><span class="XX">XXXX nato XXX duemila XXXX XXXX</span></li> <li><span class="XX">XXXX nato nel XXXXXXXXXXXXXX XXXXXXXXX XXXX</span></li> <li><span class="s1">XXXX XXXX nel XXXXXXXXXXXXXX XXXXXXXXXXXXX</span></li> <li><span XXXXX="XX">Sono nato nel XXXXXXX uno 2001</span></li> <li><span class="s1">XXXX XXXX nel XXXXXXXXXXXXXX ottanta XXXX</span></li> <li><span XXXXX="Apple-tab-span"> </span>XX.<span class="s1">XXXX nato nel XXXXXXXXXXXXXX tredici XXXX</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X l'XXXX XXXXXXX diciotto</span></p> <p><span class="s1">Carlo e nata XXX XXXXXXXXXXXXXX XXXXXXX. XX anni trentotto</span></p> <p><span XXXXX="XX">XXXXXXX e XXXX nel millenovecento XXXXXXXXXXXX. Lei ha anni sessanta</span></p> <p><span class="XX">XXXXXX e nata XXX XXXXXXXXXXXXXX cinquantacinque. XXX XX XXXX XXXXXXXXXXX</span></p> <p><span class="XX">XXXXXXX e nata nel millenovecento sessanta. Ha anni cinquantotto</span></p> <p><span XXXXX="s1">Monica e nata XXX millenovecento XXXXXXXXX. Lei XX anni XXXXXXXXXXX</span></p> <p><span XXXXX="XX">Antonio e nata XXX millenovecento XXXXXX. XX anni ottantotto</span></p> <p><span class="s1">XXXXX e XXXX XXX XXXXXXXXXXXXXX XXXXXXXXX. Lei ha anni sessantotto</span></p> <p><span class="XX">XXXXXX e nata nel millenovecento XXXXXXXXXXXX. XXX XX XXXX trentuno</span></p> <p><span XXXXX="XX"></span> </p> <p><XX></p> <p><XX></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">317Section1ExpressionsWorkbook.XXX</span></p> <p><span XXXXX="XX">XXXXXXX 1: Expressions</span></p> <p><span class="XX">Section X - Topic X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">a.<span XXXXX="Apple-converted-XXXXX"> </span>XXXXXX Island XXXXX complete XX x X = 290 XXXXX</span></p> <p><span XXXXX="XX">b. XXXXXX XXXXXX would XXXXXXXX 58x trips each XXX</span></p> <p><span XXXXX="s1">c. XXXX River XXXXX would complete 32 x 5 = XXX trips</span></p> <p><span class="XX">d. East River Ferry would complete 32x XXXXX XXXX day</span></p> <p><span class="XX">e. XXXXX is XXXXX by 58x + XXX = 90x<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">f. Total XX XXXXX by XX(X) + 32(X) = XX(5) = XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX’s XXXXXXXX</span></p> <p><span class="XX">X. a. Let XXXXXXX XX c, games XX g. 299c + 59.99g</span></p> <p><span class="XX">b. (1)(XXX) + XX.99(3) = 478.97</span></p> <p><span class="XX">c. XXX extra controller be e.<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">XXXXXXXX is given by 299 c + XX.99 g + 29.XX e</span></p> <p><span XXXXX="XX">d. Cost XX XXXXX by</span></p> <p><span XXXXX="s1">299 c + XX.99 g + XX.XX e</span></p> <p><span class="XX">XXX(X) + XX.XX(X) + XX.99(2) = 538.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXX It!</span></p> <p><span class="XX">2. XXX tickets XX t, XXXXX XXXXXXX be w, pretzels XX p.</span></p> <p><span XXXXX="XX">Equation is 55.5t+ 3.5w + 5p</span></p> <p><span XXXXX="s1">XXXXXXXXXXX XX 55.X, X.5, X.</span></p> <p><span class="s1">XXXXXXXXX XXX t, w, p.</span></p> <p><span class="s1">There XXX no XXXXXXXX terms.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X. a. y = 10p + 24o, where p = pounds XXX o = XXXXXX</span></p> <p><span class="XX">b. x &XX; y XX XXXXXX must use XXXX XXXX or equal XX the total XXXXXX of XXXX he XXX XX hand.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXX the Test!</span></p> <ol> <li></li> </ol> <p><span XXXXX="s1">KKP: XXXX = 175+ 7 x 2 x k = 175 + 14k<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">XXX: cost = XXX</span></p> <p><span XXXXX="s1" <the="" correct="" answers="" XXX="">span class="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span XXXXX="s1">[] XXX XXXXXXXXXX 23h XXXXXXXXXX the XXXXX charge for EHP</span></p> <p><span XXXXX="XX">[] If XXXX hires the XXXXXXXX XXX XX XXXXX, XXXX EHP would XX XXXXXXX (XX. in this XXXX, XXX XX 230)</span></p> <p><span class="XX">[] If XXXX XXXXX XXX painters XXX 20 XXXXX, XXXX XXX XXXXX XX XXXXXXX (ie. in XXXX case, KKP is 455 and XXX is 460)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">2. X</span></p> <p><span XXXXX="s1">Hand XXXXXXX XXXXXXXX: X.95 (200h)</span></p> <p><span class="s1">XXXXXXXXX XXXXXXXX: X.90 (XXXXXX)</span></p> <p><span class="s1">XXXXXXXX equation: X.XX (XXXX) + X.90 (22000m)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXX is X.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Section X Topic X: Algebraic XXXXXXXXXXX Using XXXXXXXXXXXX Property</span></p> <p><span XXXXX="XX">Based on the XXXXX distribution:</span></p> <p><span XXXXX="XX">(a + X) (a + 2) = a</span><span class="s2"><sup>2 </sup></span><span class="XX">+ 3a + XX + X =<span class="XXXXX-XXXXXXXXX-space"> </span>a</span><span XXXXX="XX"><XXX>X </XXX></span><span XXXXX="XX">+ XX + 6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Let’s practice!</span></p> <p><span XXXXX="XX">1.</span></p> <p><span class="s1">X(x + XX - 7z)<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">Using XXXXXXXXXXXX:</span></p> <p><span class="s1">XX + XX - XXX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXX XXXXXXXXX:</span></p> <p><span class="XX">3 <strong>x </XXXXXX>x = 3x</span></p> <p><span XXXXX="XX">X <strong>x </XXXXXX>XX = 6y</span></p> <p><span XXXXX="s1">3 <strong>x -</XXXXXX>7z =<XXXXXX> -</strong>21z<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">XXX them XX to XXX the same XXXXXX:</span></p> <p><span class="s1">3x + 6y - 21z</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X.</span></p> <p><span class="XX">Using XXXXXXXXX:</span></p> <p><span class="XX">Add them up to XXX:</span></p> <p><span class="XX">(x - X) (x - X)</span></p> <p><span XXXXX="XX">= x</span><span XXXXX="s2"><sup>2 </sup></span><span XXXXX="s1">-XX + X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Using XXXXXXXXXXXX XXXXXXXX:</span></p> <p><span XXXXX="XX">(x - 3) (x - X)</span></p> <p><span class="s1">= x</span><span XXXXX="s2"><XXX>X </sup></span><span class="XX">-XX + 6</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Try It!</span></p> <p><span XXXXX="XX">X. XXXXX distributive XXXXXXXX</span></p> <p><span class="s1">(m+5) (m - 3)</span></p> <p><span XXXXX="s1">= m</span><span class="XX"><XXX>2 </XXX></span><span class="XX">-XX + 5m - 15</span></p> <p><span class="XX">= m</span><span XXXXX="s2"><XXX>X </sup></span><span XXXXX="s1">+ 2m - 15</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Beat XXX Test!</span></p> <p><span class="XX">X.</span></p> <p><span class="s1">Student 1:<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">(x - X) (x - 2)</span></p> <p><span class="XX">= x</span><span class="s2"><sup>X </XXX></span><span class="s1">-2x - XX + XX</span></p> <p><span class="XX">Student forgot to XXXXXXXX XXXXXX subtracting, directly multiplying terms only once, XXX missed out -XX XXX -XX XX a result.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXX 2:</span></p> <p><span class="s1">(x-X) (x - 2)</span></p> <p><span XXXXX="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"></span>= x</span><span XXXXX="s2"><sup>X </XXX></span><span class="s1">-2x - XX + XX</span></p> <p><span XXXXX="XX">= x</span><span class="XX"><XXX>X </sup></span><span XXXXX="XX">-7x + XX</span></p> <p><span XXXXX="XX">Student is correct!</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXX 3:</span></p> <p><span XXXXX="XX">XXXXXXX XX XXXXXXXXX.</span></p> <p><span XXXXX="s1">XXXXXXX forgot XXXX - XXX -, XXXX multiplied, XXXXXX a plus. XXXXXXX therefore has XXX wrong XXXX for the XXXXXXXX XX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span></p> <p><span class="s1">Section 1 - Topic X</span></p> <p><span class="s1">5 + 2 = X</span></p> <p><span XXXXX="XX">X + 5 = 7</span></p> <p><span class="XX">For addition, it does not matter.</span></p> <p><span class="XX">X x 2 = 18</span></p> <p><span XXXXX="XX">2 x 9 = XX</span></p> <p><span XXXXX="s1">For multiplication, it does not XXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">&XX; The order of XXX numbers XXX be <strong>manipulated </XXXXXX>XXXXXXX affecting XXX <strong>result </XXXXXX>or <XXXXXX>sign</strong></span></p> <p><span XXXXX="XX"><strong>&XX; </XXXXXX>XX a and b are real XXXXXXX, XXXX a + b = a + b and a x b = ab</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXX commutative XXXXXXXX XXXX XXX hold XXXX XXX division XXX subtraction:</span></p> <p><span class="s1">X/X = 0.6666, whereas 3/2 = X.5</span></p> <p><span class="s1">2 - X = -X, whereas 3 - 2 = 1</span></p> <p><span class="XX">Different results XXX XXXXXXXX.<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Consider X + 4 + 6.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">2 + X + 6 = 12</span></p> <p><span class="s1">(X + X) + X = 12</span></p> <p><span XXXXX="XX">2 + (4 + 6) = 12</span></p> <p><span class="XX">Parenthesis do not change XXX sum.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXX 3 . X . 4.</span></p> <p><span XXXXX="s1">3 . X . X = 72</span></p> <p><span class="XX">3 . (X . 4) = XX</span></p> <p><span class="s1">(X . 6) . X = XX</span></p> <p><span XXXXX="XX">Parenthesis do not change XXX XXX.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXX is XXX <XXXXXX>associative property</strong></span></p> <p><span XXXXX="XX">The XXXXXX XX the XXXXXXX does XXX XXXXXX.</span></p> <p><span class="XX">XXX grouping XX XXX XXXXXXX can XXXXXX XXX does XXX affect XXX XXXXXX or XXXX.</span></p> <p><span XXXXX="s1">If …. Then (a+b) + c = a + b + c XXX (ab)c = XXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX XXXXXXXXXXX property XXXX XXX XXXX XXXX for XXXXXXXX XXX XXXXXXXXXXX:</span></p> <p><span class="XX">XX ÷ 10 ÷ X = 2</span></p> <p><span XXXXX="XX">40 ÷ (XX ÷ X) = 40 ÷ 5 = X</span></p> <p><span class="XX">(40 ÷ XX) ÷ 2 = X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XX - 10 - 2 = 28</span></p> <p><span class="s1">XX - (10 - X) = XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Let’s practice!</span></p> <p><span XXXXX="s1">1.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <ol> <li><span class="s1">XXXXXXXXXXX property</span></li> </ol> <p><span XXXXX="s1">b. XXXXXXXXXXX<span XXXXX="Apple-XXXXXXXXX-space"> </span>XXXXXXXX</span></p> <p><span class="XX">c. Associative property</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">2.<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">a. Commutative XXX associative XXXXXXXX (XXXXX is both XXXXXXXXXXX XXX reshuffling XX terms)</span></p> <p><span XXXXX="XX">b. XXXXXXXXXXX XXXXXXXX</span></p> <p><span class="s1">c. XXXXXXXXXXX XXXXXXXX</span></p> <p><span XXXXX="s1">d. Commutative XXX XXXXXXXXXXX property (there is XXXX parenthesis and reshuffling of XXXXX)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">X.</span></p> <p><span XXXXX="s1">(3x) (2y) = 3 (x . X) y<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>associative property</span></p> <p><span class="XX">= 3 (2 . x) y<span XXXXX="Apple-XXXXXXXXX-space"> </span>commutative XXXXXXXX</span></p> <p><span XXXXX="XX">= (3 . 2) (x . y) <span class="XXXXX-converted-space"> </span>associative XXXXXXXX</span></p> <p><span XXXXX="XX">= 6xy</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXX XXX Test!</span></p> <p><span class="XX">X.<span XXXXX="XXXXX-converted-space"></span></span></p> <ol> <li><span XXXXX="s1">XXXXXXXXXXX XXXXXXXX XX addition</span></li> </ol> <p><span class="s1">2. Associative property XX XXXXXXXX</span></p> <p><span class="s1">3. Distributive XXXXXXXX XX XXXXXXXXXXXXXX</span></p> <p><span class="XX">4. Commutative property XX addition</span></p> <p><span XXXXX="s1">5. XXXXX an equivalent expression</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX 1 - Topic X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X</span><span class="XX"><sup>X </sup></span><span XXXXX="XX">= XX</span></p> <p><span XXXXX="XX">X</span><span XXXXX="XX"><XXX>X </sup></span><span class="XX">= X</span></p> <p><span class="s1">X</span><span class="s2"><sup>X </sup></span><span class="s1">= 4</span></p> <p><span XXXXX="XX">2</span><span XXXXX="XX"><XXX>X </XXX></span><span XXXXX="s1">= X</span></p> <p><span class="XX">Each XX XXXX of XXX XXXXXXXX XXX (divided by 2 each XXXX)</span></p> <p><span class="XX">2</span><span class="XX"><sup>X </XXX></span><span class="s1">= X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">This is the XXXX exponent property</span></p> <p><span XXXXX="XX">a</span><span XXXXX="s2"><sup>X </sup></span><span class="s1">= 1</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Continuing the pattern…</span></p> <p><span XXXXX="XX">X</span><span class="s2"><sup>-1 </XXX></span><span class="s1">= X/2 = 0.5</span></p> <p><span class="XX">2</span><span XXXXX="XX"><XXX>-X </sup></span><span class="s1">= X/4 = X.XX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"></span>a</span><span XXXXX="s2"><sup>-n </XXX></span><span XXXXX="s1">= X/</span><span class="s2"> </span><span class="s1">a</span><span XXXXX="XX"><XXX>n</XXX></span></p> <p><span class="s1">X/a</span><span XXXXX="s2"><XXX>-n </sup></span><span XXXXX="s1">= a</span><span class="s2"><XXX>n</sup></span></p> <p><span class="XX"></span> </p> <p><span class="XX">2</span><span class="XX"><XXX>X . </XXX></span><span XXXXX="s3">X</span><span class="s1"><sup>4<span XXXXX="Apple-converted-XXXXX"> </span></sup></span><span class="XX">= X</span><span XXXXX="s1"><XXX>7</XXX></span></p> <p><span XXXXX="XX">X</span><span XXXXX="XX"><sup>X . </XXX></span><span XXXXX="XX">X</span><span XXXXX="s1"><sup>-3<span class="XXXXX-converted-XXXXX"> </span></XXX></span><span XXXXX="s3">=<span XXXXX="XXXXX-converted-space"> </span>2</span><span XXXXX="s1"><sup>X</XXX></span></p> <p><span XXXXX="XX">x</span><span XXXXX="s1"><XXX>3 . </XXX></span><span class="s3">x</span><span class="s1"><XXX>X<span XXXXX="XXXXX-converted-space"> </span></sup></span><span class="XX">= x</span><span XXXXX="s1"><XXX>5</sup></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX" <this="" is="" XXX="" XXXXXXX="" property:="">span class="Apple-converted-space"&XX;</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">a</span><span class="XX"><XXX>m . </XXX></span><span XXXXX="s3">a</span><span XXXXX="s1"><sup>n<span XXXXX="Apple-converted-XXXXX"> </span></XXX></span><span XXXXX="s3">= a</span><span class="s1"><sup>m+n</sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX:</span></p> <p><span class="XX"></span> </p> <p><span class="XX">X</span><span class="s2"><XXX>5 </sup></span><span class="XX">/ 4</span><span XXXXX="XX"><XXX>3<span class="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span class="XX">= X</span><span XXXXX="XX"><sup>X</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">x</span><span class="s1"><XXX>X<span XXXXX="Apple-converted-XXXXX"> </span></XXX></span><span XXXXX="s3">/ x</span><span XXXXX="s1"><sup>X<span class="Apple-XXXXXXXXX-space"> </span></XXX></span><span XXXXX="s3">= x</span><span class="s1"><XXX>-X</sup></span></p> <p><span class="s1"></span> </p> <p><span class="XX">a</span><span class="s1"><XXX>m </XXX></span><span class="XX">/ a</span><span XXXXX="s1"><XXX>n<span XXXXX="Apple-converted-XXXXX"> </span></XXX></span><span class="XX">= a</span><span class="s1"><XXX>m-n</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Exponent:</span></p> <p><span class="s1">(X</span><span class="XX"><sup>3 </XXX></span><span class="s1">)</span><span XXXXX="s2"><XXX>X </XXX></span><span class="s1">= 5</span><span XXXXX="s2"><XXX>X</sup></span></p> <p><span class="XX">(y</span><span class="s1"><sup>4 </XXX></span><span XXXXX="s3">)</span><span class="s1"><XXX>X </XXX></span><span XXXXX="XX">= y</span><span XXXXX="XX"><sup>XX</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXX XXXXXXXX: (a</span><span class="s2"><XXX>m </XXX></span><span XXXXX="XX">)</span><span class="s2"><sup>n </XXX></span><span XXXXX="XX">= a</span><span class="XX"><XXX>XX</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">…</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(2 . 3) </span><span class="s2"><XXX>2 </sup></span><span XXXXX="s1">= (X) </span><span XXXXX="XX"><sup>X </sup></span><span class="XX">= 36</span></p> <p><span class="XX">(X . x) </span><span XXXXX="XX"><XXX>X </XXX></span><span XXXXX="XX">= (4x) </span><span class="XX"><sup>3</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1" <this="" XX="" the="" XXXXX="" XX="" a="" product="" property:="" (ab)<="" span="">&XX;span class="XX"><XXX>n </sup></span><span class="s1">= a</span><span XXXXX="s2"><XXX>n</XXX></span><span class="XX">b</span><span XXXXX="XX"><sup>n<span class="XXXXX-XXXXXXXXX-space"></span></XXX></span></p> <p><span XXXXX="XX">= (a</span><span class="XX"><sup>.</sup></span><span XXXXX="s1">b)</span><span class="s2"><sup>n<span XXXXX="XXXXX-converted-XXXXX"></span></sup></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(20/3) </span><span XXXXX="XX"><XXX>2</XXX></span><span class="XX"> = X.67 </span><span XXXXX="XX"><XXX>2</sup></span></p> <p><span class="s1">(6/y) </span><span class="s2"><XXX>X</XXX></span><span class="s1"> = X</span><span XXXXX="s2"><sup>2</sup></span><span XXXXX="s1">/y</span><span XXXXX="s2"><sup>X</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1" <XXXX="" is="" the="" XXXXX="" of="" a="" XXXXXXXX="" XXXXXXXX:="" (a="" b)<="" span="">>span class="s2"&XX;<sup>n</sup></span><span XXXXX="XX"> = a</span><span class="s2"><XXX>n</sup></span><span XXXXX="s1">/b</span><span XXXXX="XX"><XXX>n</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Let’s XXXXXXXX!</span></p> <ol> <li><span class="s1">a.<span XXXXX="Apple-XXXXXXXXX-space"> </span>3</span><span class="s2"><sup>X</XXX></span><span XXXXX="s1">. 3</span><span class="XX"><XXX>X </sup></span><span XXXXX="s1">= 3</span><span class="XX"><sup>7</sup></span><span XXXXX="XX">, (3</span><span class="s2"><sup>9</XXX></span><span class="s1">)/(X</span><span XXXXX="XX"><XXX>X</sup></span><span class="s1">) = X</span><span class="s2"><sup>X-X </sup></span><span class="s1">= X</span><span class="s2"><sup>7</XXX></span></li> </ol> <p><span XXXXX="XX">XXX equation is true.</span></p> <p><span XXXXX="s1">b. (X . 4</span><span XXXXX="s2"><XXX>2 </XXX></span><span XXXXX="XX">) </span><span XXXXX="XX"><sup>X</XXX></span><span XXXXX="XX">= X</span><span class="s2"><XXX>4 . </sup></span><span class="s1">X</span><span XXXXX="XX"><XXX>0</sup></span><span XXXXX="XX"> </span><span XXXXX="s2"><sup>. </sup></span><span class="s1">(X </span><span class="s2"><XXX>X </sup></span><span class="XX">/ 5</span><span class="s2"><XXX>-1</XXX></span><span class="XX">)</span><span class="s2"><sup>-1</XXX></span></p> <p><span XXXXX="s1">(5 . X</span><span XXXXX="XX"><XXX>X </XXX></span><span XXXXX="XX">) </span><span class="s2"><sup>X</XXX></span><span class="XX">= 5</span><span XXXXX="s2"><XXX>X . </sup></span><span XXXXX="s1">4</span><span XXXXX="XX"><XXX>6</sup></span></p> <p><span class="s1"></span> </p> <p><span class="XX">X</span><span class="s1"><XXX>4 . </XXX></span><span class="s3">5</span><span XXXXX="s1"><sup>0</XXX></span><span XXXXX="s3"> </span><span class="XX"><sup>. </sup></span><span XXXXX="s3">(4 </span><span class="XX"><sup>6 </sup></span><span XXXXX="s3">/ X</span><span XXXXX="XX"><sup>-1</sup></span><span XXXXX="XX">)</span><span XXXXX="XX"><sup>-X </sup></span><span XXXXX="s3">= X</span><span class="XX"><sup>4 . </sup></span><span class="s3">X</span><span class="s1"><sup>0</XXX></span><span XXXXX="s3"> </span><span XXXXX="XX"><XXX>. </sup></span><span XXXXX="XX">(X</span><span XXXXX="s1"><XXX>-6 </sup></span><span class="XX">/ X</span><span class="s1"><sup>1</XXX></span><span class="XX">) = 1 </span><span XXXXX="s1"><sup>. </sup></span><span class="s3">X</span><span class="s1"><XXX>-X<span XXXXX="XXXXX-converted-space"> </span>.<span class="Apple-converted-XXXXX"> </span></sup></span><span class="s3">5</span><span class="XX"><sup>3 </XXX></span><span class="s3">= 5</span><span class="XX"><XXX>3 </sup></span><span class="s3">/4</span><span XXXXX="s1"><sup>6</XXX></span></p> <p><span class="XX"></span> </p> <p><span class="XX" <the="" equation="" is="" false.="">span class="XXXXX-converted-XXXXX"></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXX XX!</span></p> <p><span class="XX">A matches with XX</span></p> <p><span class="XX">X matches XXXX I</span></p> <p><span class="XX">X XXXXXXX with IV</span></p> <p><span XXXXX="s1">X matches XXXX X</span></p> <p><span class="s1">X matches with XXX</span></p> <p><span class="XX">X XXXXXXX with XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Beat XXX XXXX!</span></p> <p><span XXXXX="s1">X. XXXX X:</span></p> <p><span class="XX">Crosby is XXXXXXX. Because 3 x 3 x 3 x 3 x 3 = 3 to the XXXXX of X.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X. Adam XX XXXXXXX. This is because X to the XXXXX of X divided XX X XX XXXXX of X is 3 XX XXX XXXXX of (8-X) = 6</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Section X - XXXXX X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">9 </span><span class="XX"><sup>X/2 </sup></span><span class="XX">= 3 </span><span class="XX"><sup>X/2</XXX></span><span class="XX"> = X</span></p> <p><span XXXXX="XX">8 </span><span XXXXX="s2"><XXX>1/3 </sup></span><span class="XX">= 2 </span><span class="s2"><sup>3/X</sup></span><span class="s1"> = 2</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXX XXXXXXX is XXXX they XXX XXXXX a XXXXXX to the XXXXX XX 1.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">2 </span><span XXXXX="XX"><sup>2/X </sup></span><span XXXXX="XX">= </span><span class="s2"><sup>X</sup></span><span XXXXX="XX">√X </span><span class="s2"><sup>2</sup></span></p> <p><span XXXXX="s1">X </span><span class="s2"><XXX>3/2 </XXX></span><span class="s1">= </span><span class="XX"><XXX>2</sup></span><span XXXXX="s1">√5 </span><span class="XX"><sup>X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXX XXXXXXXXX XXXX are XXXXXXXX numbers, XXXX as a/b , we have x </span><span XXXXX="XX"><sup>a/b </sup></span><span XXXXX="s1">= </span><span class="XX"><XXX>b</XXX></span><span class="s1">√x </span><span XXXXX="s2"><XXX>a</XXX></span><span XXXXX="XX"> = ( x </span><span XXXXX="s2"><sup>b/a </sup></span><span XXXXX="s1">) </span><span class="XX"><XXX>-X</XXX></span></p> <p><span class="XX"></span> </p> <p><span class="s1">1.<span class="Apple-XXXXXXXXX-space"></span></span></p> <ol> <li><span XXXXX="s1">(x+X) </span><span class="s2"><XXX>1/2</XXX></span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span class="s1">b. (x-5) </span><span class="XX"><sup>1/X </sup></span><span XXXXX="s1">+X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <ol> <li><span class="XX">9 </span><span class="s2"><sup>1/2 </sup></span><span class="s1">= 3 </span><span XXXXX="s2"><sup>2(1/2) </XXX></span><span class="s1">= X<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></li> <li><span class="XX">XX </span><span XXXXX="XX"><sup>1/X </sup></span><span class="XX">= X </span><span XXXXX="s2"><XXX>X(X/X) </XXX></span><span XXXXX="s1">= 4</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="XX">c. X </span><span class="s1"><sup>1/X </XXX></span><span class="XX">= 2 </span><span class="XX"><sup>(3(1/3)) </XXX></span><span class="XX">= 2</span></p> <p><span class="s1">d. X </span><span XXXXX="s2"><sup>X/3 </XXX></span><span class="s1">= X </span><span class="s2"><sup>(X(X/3)) </sup></span><span class="s1">= X</span><span XXXXX="XX"><XXX>X </sup></span><span XXXXX="XX">= X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">e. XXX </span><span XXXXX="XX"><XXX>X/X </sup></span><span XXXXX="s1">= X </span><span XXXXX="s2"><sup>X(X/X) </sup></span><span XXXXX="s1">= X</span><span XXXXX="XX"><sup>2 </sup></span><span XXXXX="s1">= XX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">f. 16 </span><span XXXXX="XX"><XXX>3/4 </XXX></span><span class="XX">= X </span><span class="s2"><XXX>XX/4 </sup></span><span class="s1">= X </span><span class="XX"><XXX>X</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX it!</span></p> <p><span class="XX">3a. √y = y</span><span class="s2"><sup>1/X</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XX. X√y + 6 = (y+6)</span><span class="s2"><XXX>1/X</sup></span></p> <p><span class="XX"></span> </p> <p><span class="s1">4a. XX</span><span XXXXX="XX"><XXX>X/X </XXX></span><span XXXXX="XX">= 7</span><span class="XX"><sup>X/2</XXX></span><span XXXXX="s1"> = 7</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XX. XX</span><span class="XX"><sup>1/3<span XXXXX="Apple-converted-XXXXX"></span></XXX></span><span class="s1"> = X </span><span class="s2"><XXX>X/3<span XXXXX="XXXXX-converted-space"></span></XXX></span><span XXXXX="XX"> = 3</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XX. 216 </span><span XXXXX="XX"><XXX>X/X</XXX></span><span class="XX"> = X </span><span XXXXX="s2"><XXX>X/3<span class="Apple-converted-space"></span></sup></span><span class="XX"> = X </span><span class="XX"><XXX>2</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX"><span XXXXX="Apple-converted-space"></span>Beat the XXXX!</span></p> <p><span XXXXX="s1">Match XXX pairs.</span></p> <ol> <li><span XXXXX="XX">VI</span></li> <li><span class="XX">III<span XXXXX="Apple-converted-XXXXX"></span></span></li> <li><span XXXXX="XX">X</span></li> <li><span class="XX">I</span></li> <li><span class="XX">XX</span></li> <li><span class="XX">XX</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Section 1 Topic X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">√X + √2 = 3.65</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span class="s1">X<span class="Apple-XXXXXXXXX-space"> </span>X<span class="Apple-converted-space"> </span>3<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>4 <span class="XXXXX-XXXXXXXXX-space"> </span>X<span class="XXXXX-converted-space"> </span>6<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">|__|__|__|__|__|</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X</span><span class="XX"><XXX>X/2</XXX></span><span class="XX"> + 2</span><span class="s2"><XXX>1/X </sup></span><span class="XX">= 3.XX</span></p> <p><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span class="s1">X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>3<span class="Apple-XXXXXXXXX-XXXXX"> </span>4 <span class="XXXXX-XXXXXXXXX-space"> </span>5<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>6<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">|__|XX|XX|XX|XX|</span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">√5 + √X = X.XX</span></p> <p><span XXXXX="s1"><span class="Apple-converted-space"> </span>X</span></p> <p><span XXXXX="XX">1<span class="Apple-XXXXXXXXX-space"> </span>X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>3<span class="Apple-converted-XXXXX"> </span>X <span XXXXX="XXXXX-converted-XXXXX"> </span>X<span class="XXXXX-converted-space"> </span>6<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">|__|__|__|XX|XX|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">5</span><span XXXXX="s2"><sup>X/X</XXX></span><span XXXXX="s1"> + 5</span><span XXXXX="s2"><sup>1/X </XXX></span><span class="XX">= 4.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX">X<span class="Apple-XXXXXXXXX-space"> </span>2<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>3<span XXXXX="Apple-converted-space"> </span>4 <span XXXXX="Apple-converted-XXXXX"> </span>5<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>6<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">|__|XX|XX|XX|__|</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X √X - 8 √3 = -XX.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><span class="Apple-converted-XXXXX"> </span>X</span></p> <p><span class="XX">-13 -XX<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-11<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-XX<span class="XXXXX-XXXXXXXXX-space"> </span>-9<span class="XXXXX-converted-space"> </span>-8<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">|XXXX|____|XXX|___|XXX|</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">2 . X</span><span class="s2"><XXX>1/2</XXX></span><span class="s1"> - 8 . 3</span><span class="XX"><sup>X/2 </XXX></span><span class="XX">= -XX.XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="XX">-XX -XX<span class="Apple-converted-XXXXX"> </span>-XX<span class="XXXXX-XXXXXXXXX-space"> </span>-10<span class="Apple-converted-XXXXX"> </span>-X<span class="Apple-converted-space"> </span>-X<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">|XXXX|____|___|___|XXX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Let’s XXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X.a.</span></p> <p><span XXXXX="s1">√12 + √X = 2√3+ √X = X √X = 12</span><span XXXXX="XX"><sup>1/2</XXX></span><span class="s1"> + X</span><span class="XX"><sup>1/X</XXX></span><span XXXXX="s1"> = 5.XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">b.</span></p> <p><span class="XX">12</span><span XXXXX="s2"><XXX>1/2</XXX></span><span XXXXX="s1"> + 3</span><span class="s2"><XXX>1/X</XXX></span><span XXXXX="s1"> = √XX + √X = X √X=<span class="Apple-converted-space"> </span>X.XXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">c.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">√72 + √XX + √18 = 72</span><span class="XX"><XXX>X/2</XXX></span><span class="XX"> +XX</span><span XXXXX="s2"><XXX>X/X</sup></span><span class="XX"> + 18</span><span class="XX"><XXX>X/2</XXX></span><span class="s1"> = X√8 + √XX + √XX = =<span class="Apple-XXXXXXXXX-XXXXX"> </span>16.6</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">d.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">72</span><span XXXXX="s2"><XXX>X/2</XXX></span><span class="s1"> +XX</span><span class="s2"><XXX>X/X</sup></span><span XXXXX="XX"> + XX</span><span class="XX"><XXX>1/X</sup></span><span XXXXX="s1"> = √72 + √15 + √XX = XXX.56</span><span class="s2"><XXX>1/2</XXX></span><span class="s1"> = XX.6</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">e.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">√XX + </span><span XXXXX="s2"><sup>3</XXX></span><span class="s1"> √XX = XX</span><span class="XX"><sup>1/X</sup></span><span class="XX"> +XX</span><span XXXXX="s2"><XXX>1/3 </sup></span><span XXXXX="XX">= X.176</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">f.</span></p> <p><span class="s1">XX</span><span class="s2"><XXX>X/2</sup></span><span XXXXX="s1"> +XX</span><span XXXXX="XX"><XXX>X/X</sup></span></p> <p><span class="XX">= √32 + </span><span class="XX"><XXX>X</sup></span><span class="s1"> √16<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">= √ 2</span><span XXXXX="s2"><sup>4</XXX></span><span XXXXX="XX"> +√ X</span><span XXXXX="XX"><XXX>5</XXX></span><span XXXXX="XX"></span></p> <p><span XXXXX="XX">= X √ X</span><span XXXXX="s2"><XXX>4</sup></span></p> <p><span class="XX">= 8.XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Try it!</span></p> <p><span class="s1">X.a.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">= X √6 = 9.XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">2.b.</span></p> <p><span class="s1">= 4 √6 = 9.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">2.c.</span></p> <p><span XXXXX="XX">= √50 + √XX+ √10</span></p> <p><span XXXXX="s1">= X √X + X √ 2 + √XX</span></p> <p><span XXXXX="s1">= X √ X + √ 10</span></p> <p><span class="s1">= 14.475</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">X.d.</span></p> <p><span XXXXX="s1">= √XX + √18+ √XX</span></p> <p><span XXXXX="XX">= XX.475</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">2.e.</span></p> <p><span class="XX">= X</span><span XXXXX="XX"><sup>1/X </sup></span><span XXXXX="XX">+ 8</span><span XXXXX="XX"><XXX>1/3 </XXX></span><span XXXXX="XX">+ 16</span><span class="s1"><sup>1/X<span XXXXX="XXXXX-converted-XXXXX"></span></sup></span></p> <p><span class="s1">= X</span><span class="XX"><XXX>1/3 </XXX></span><span class="s1">+ X + X </span><span XXXXX="XX"><XXX>4/X</XXX></span></p> <p><span class="XX">= X.80</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">2.f.</span></p> <p><span XXXXX="s3">= 2</span><span class="s1"><sup>X/3 </sup></span><span XXXXX="XX">+ 8</span><span class="XX"><XXX>1/X </sup></span><span XXXXX="s3">+ XX</span><span XXXXX="s1"><XXX>1/3<span XXXXX="XXXXX-converted-XXXXX"></span></sup></span></p> <p><span class="XX">= X</span><span XXXXX="s2"><sup>X/X </sup></span><span class="XX">+ 2 + 2 </span><span class="s2"><XXX>4/X</sup></span></p> <p><span XXXXX="s1">= X.80</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Beat XXX Test!</span></p> <p><span XXXXX="s1">1. XXXXX of XXX following XXXXXXXXXXX are XXXXXXXXXX?</span></p> <p><span XXXXX="XX">[]</span></p> <p><span class="XX">[]</span></p> <p><span XXXXX="s1">[X]</span></p> <p><span class="s1">[X]</span></p> <p><span class="s1">[]</span></p> <p><span XXXXX="XX">[]</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X. X.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXX B:</span></p> <p><span class="s1">Label XXX place the XXXXXXXXXX on XXX XXXXXX XXXX below.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">X . X </span><span class="XX"><XXX>1/X</sup></span></p> <p><span class="XX"><sup>X</sup></span></p> <p><span class="s1">2 </span><span class="XX"><sup>X </sup></span><span XXXXX="s1">+ 3 </span><span XXXXX="XX"><XXX>X/X<span XXXXX="XXXXX-converted-XXXXX"></span></XXX></span></p> <p><span class="s1">XX </span><span XXXXX="s2"><XXX>1/2</XXX></span><span class="s1">+ 3 </span><span class="s2"><sup>1/2<span XXXXX="Apple-converted-space"></span></XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">= X.73</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"><span XXXXX="Apple-converted-XXXXX"> </span>X</span></p> <p><span XXXXX="XX">X<span class="XXXXX-converted-space"> </span>5<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>3 <span XXXXX="Apple-converted-space"> </span>X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="s1">|__|XX|__|XX|XX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Section 1 - XXXXX 7</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">√ 10 </span><span class="s2"><sup>.</sup></span><span XXXXX="XX"> √ 2</span></p> <p><span XXXXX="s1">= √ 2 </span><span XXXXX="XX"><XXX>.</XXX></span><span XXXXX="s1"> 5 </span><span XXXXX="s2"><XXX>.</sup></span><span class="XX"> √ X</span></p> <p><span XXXXX="XX">= √ 2 </span><span XXXXX="s2"><sup>.</sup></span><span class="XX"> √ 5 </span><span XXXXX="XX"><sup>.</XXX></span><span class="s1"> √ 2</span></p> <p><span XXXXX="XX">= 2 √2<span class="XXXXX-XXXXXXXXX-space"> </span></span><span class="s2"><sup>.</XXX></span><span XXXXX="XX"> √ X</span></p> <p><span class="XX">=4.57</span></p> <p><span class="XX"></span> </p> <p><span class="s3">XX </span><span class="XX"><XXX>1/2 . </XXX></span><span XXXXX="XX">2 </span><span class="XX"><XXX>1/2</XXX></span></p> <p><span XXXXX="s1">=<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X </span><span class="XX"><XXX>X/2.</sup></span><span class="XX"> 5 </span><span class="s2"><sup>.</XXX></span><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>2 </span><span XXXXX="s2"><sup>1/X</XXX></span></p> <p><span XXXXX="XX">=<span class="XXXXX-XXXXXXXXX-space"> </span>2 </span><span XXXXX="XX"><sup>X/2</sup></span><span class="XX"> </span><span XXXXX="XX"><sup>.</XXX></span><span XXXXX="s1"><span class="XXXXX-converted-space"> </span>5 </span><span class="XX"><XXX>1/X</sup></span><span XXXXX="XX"> </span><span XXXXX="s2"><XXX>.</XXX></span><span XXXXX="XX"><span XXXXX="Apple-converted-space"> </span>X </span><span class="XX"><XXX>1/2</XXX></span></p> <p><span class="s1">=<span XXXXX="Apple-converted-XXXXX"> </span>2 </span><span XXXXX="XX"><sup>X/X</sup></span><span XXXXX="XX"> </span><span XXXXX="s2"><XXX>.</sup></span><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-space"> </span>X </span><span class="s2"><sup>X/2</XXX></span></p> <p><span class="XX">= 4.57</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span>√2<span class="Apple-converted-space"> </span></span><span XXXXX="XX"><sup>.</XXX></span><span XXXXX="s1"> </span><span class="s2"><sup>X</sup></span><span XXXXX="s1">√ 2</span></p> <p><span XXXXX="s1">=<span class="Apple-converted-space"> </span>√7</span></p> <p><span XXXXX="XX">= 2.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">X </span><span class="s2"><XXX>X/X</sup></span><span XXXXX="s1"> </span><span class="XX"><sup>.</XXX></span><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X </span><span class="XX"><XXX>1/3</sup></span></p> <p><span XXXXX="s1">=<span class="Apple-XXXXXXXXX-space"> </span>√X</span></p> <p><span class="s1">= X.67</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">√ XX / √ X</span></p> <p><span class="s1">= (√ X </span><span class="s2"><sup>.</XXX></span><span class="s1"> √ X )<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>/ √ X</span></p> <p><span XXXXX="XX">= √ X</span></p> <p><span XXXXX="XX">= X.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">10 </span><span class="s1"><sup>1/2 </sup></span><span XXXXX="s3">/X </span><span XXXXX="XX"><sup>X/X</XXX></span></p> <p><span class="s1">= (√ X </span><span class="XX"><XXX>.</XXX></span><span class="XX"> √ 5 )<span XXXXX="XXXXX-converted-XXXXX"> </span>/ √ X</span></p> <p><span XXXXX="XX">= √ 5</span></p> <p><span class="s1">= 2.23</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(x</span><span XXXXX="s1"><XXX>X/X </sup></span><span XXXXX="XX">)</span><span XXXXX="s1"><sup>X/X</XXX></span></p> <p><span XXXXX="s3">=x</span><span class="XX"><XXX>X/6</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(√7)</span><span XXXXX="XX"><XXX>3</XXX></span></p> <p><span XXXXX="XX">= (X</span><span XXXXX="s2"><sup>1/2</XXX></span><span class="XX">)</span><span class="s2"><sup>3</sup></span></p> <p><span class="XX">= (X</span><span XXXXX="s2"><sup>X/X</sup></span><span class="XX">)</span></p> <p><span class="XX">= 18.5</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s3"><span XXXXX="Apple-XXXXXXXXX-XXXXX"></span>a</span><span class="s1"><sup>X/2</sup></span><span XXXXX="XX"> b</span><span XXXXX="s1"><XXX>X/X</sup></span><span XXXXX="s3"> a </span><span class="XX"><sup>X/X</XXX></span><span class="XX"> b </span><span class="XX"><XXX>1/2</sup></span></p> <p><span class="s3">= a </span><span XXXXX="XX"><XXX>1/X</sup></span><span XXXXX="XX"> b</span><span class="s1"><sup>2/XX</XXX></span></p> <p><span XXXXX="XX">= a </span><span XXXXX="s2"><sup>X/X</XXX></span><span XXXXX="s1"> b</span><span class="s2"><XXX>X/X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX"><XXX>X</sup></span><span class="XX"> √X / √X</span></p> <p><span class="XX">=<span XXXXX="XXXXX-converted-space"> </span>X </span><span class="s1"><sup>3(1/4)<span class="XXXXX-XXXXXXXXX-XXXXX"></span></sup></span><span class="s3"> / 2</span><span class="XX"><sup>X(1/X)</sup></span></p> <p><span XXXXX="XX">=<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X </span><span XXXXX="XX"><sup>3/X </XXX></span><span class="s1">/ X</span><span class="XX"><XXX>3/2</XXX></span></p> <p><span XXXXX="XX">= X </span><span class="XX"><XXX>-3/X</sup></span></p> <p><span class="XX">= 0.59</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Try it!</span></p> <p><span XXXXX="XX">a</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">= (m</span><span class="s2"><sup>X</sup></span><span XXXXX="s1">n</span><span XXXXX="XX"><XXX>2</XXX></span><span class="s1"> )</span><span class="s2"><XXX>X/5</sup></span></p> <p><span class="XX">= n</span><span XXXXX="XX"><sup>2/X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">b.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">= (X </span><span class="s1"><XXX>3/X . </XXX></span><span XXXXX="s3">3 </span><span class="s1"><sup>X/X</XXX></span><span class="XX">)</span><span XXXXX="XX"><XXX>2/3</sup></span></p> <p><span XXXXX="XX">= (X </span><span XXXXX="s2"><sup>. </XXX></span><span XXXXX="s1">3 </span><span XXXXX="XX"><sup>X/3</sup></span><span class="XX">)</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">c.</span></p> <p><span XXXXX="XX">= X </span><span class="s1"><sup>1/2 . </XXX></span><span class="s3">2 </span><span class="s1"><sup>X/3</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">d.</span></p> <p><span XXXXX="s3">= (X </span><span XXXXX="s1"><XXX>.<span class="Apple-converted-space"> </span></XXX></span><span class="s3">3</span><span XXXXX="XX"><sup>X/6</XXX></span><span class="s3">) </span><span XXXXX="XX"><XXX>1/X</XXX></span></p> <p><span class="XX">= (3</span><span class="s2"><XXX>X/2</sup></span><span class="s1">) </span><span XXXXX="XX"><sup>X/X</sup></span></p> <p><span XXXXX="XX">= 3 </span><span XXXXX="XX"><sup>3/4</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Beat XXX test!</span></p> <p><span class="XX">[]</span></p> <p><span XXXXX="XX">[]</span></p> <p><span XXXXX="s1">[X]</span></p> <p><span XXXXX="s1">[X]</span></p> <p><span XXXXX="s1">[]</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Section X XXXXX 8</span></p> <p><span XXXXX="XX">Numbers XXXX can XX XXXXXXXXXXX as &XXXXXX; XXX XXXXXX rational numbers.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Numbers that XXXXXX XX XXXXXXXXXXX… XXX XXXXXX XXXXXXXXXX XXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">√X rational</span></p> <p><span class="s1">√8 XXXXXXXXXX</span></p> <p><span XXXXX="XX">X = XXXXXXXX</span></p> <p><span class="s1">XX/X = rational</span></p> <p><span class="s1">9.488888&XXXXXX;. = irrational</span></p> <p><span class="s1">33/2 = rational</span></p> <p><span XXXXX="XX">X.XXXXX… = XXXXXXXXXX</span></p> <p><span XXXXX="s1">-25 = XXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Given two XXXXXXXX XXXXXXX a and b XXXXX that XXX XXX XX rational:</span></p> <p><span class="XX"></span> </p> <p><span class="s1">The sum of any XXX XXXXXXXX XXXXXXX is XXXXXXXX.</span></p> <p><span XXXXX="s1">XXXXX.</span></p> <p><span XXXXX="XX">Suppose r and s are rational XXXXXXX. [XX must show XXXX r + s is XXXXXXXX.] Then, by XXX XXXXXXXXXX of XXXXXXXX numbers, we have</span></p> <p><span class="XX"><span class="Apple-converted-XXXXX"></span>r = a/b<span XXXXX="XXXXX-converted-XXXXX"> </span>XXX XXXX integers a and b with b ≠ X.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>s = c/d <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>XXX some integers c and d XXXX d ≠ 0.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">So, XX substitution, XX XXXX</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>r + s = a/b + c/d</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"><span XXXXX="Apple-XXXXXXXXX-space"></span>= (ad + XX)/bd</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Now, XXX p = ad + bc and q = bd. XXXX, p XXX q are integers [XXXXXXX products and sums XX XXXXXXXX are integers XXX because a, b, c XXX d XXX XXX XXXXXXXX. Also, q ≠ 0 XX zero XXXXXXX XXXXXXXX.] Hence,</span></p> <p><span XXXXX="s1">r + s = p/X , where p XXX X XXX XXXXXXXX XXX X ≠ 0.</span></p> <p><span class="XX">Therefore, by XXXXXXXXXX XX a XXXXXXXX XXXXXX, (r + s) XX rational. This XX XXXX XXX XX XX shown.</span></p> <p><span class="s1">XXX this completes the proof.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXX XXXX: <a XXXX="https://XXXX.XXXXXXXXXXXXX.com/questions/XXXXXXX/XXX-doesnt-XXXXX-of-sum-of-two-rational-XXXXXX-is-XXXXXXXX-not-proving-the-XXXX">https://XXXX.stackexchange.XXX/questions/1320459/XXX-doesnt-proof-XX-sum-of-two-XXXXXXXX-number-is-XXXXXXXX-XX...</a></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Sum XX XXX XXXXXXX:</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">If two numbers XXX rational we can express their XXX as<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="s1">a/b+ c/d</span></p> <p><span class="s1">Which XX XXXXX XX</span></p> <p><span class="XX">(ad + bc) / bd</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXX, rational.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXX b:</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXX product XX a and b XXXX XXXX be XXXXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Part c:</span></p> <p><span XXXXX="XX">XXXXX a rational number a and an XXXXXXXXXX number b, prove that XXX XXX XX a and b is irrational</span></p> <p><span XXXXX="s1"></span></p> <p><span class="XX">1/X + 9.48888888 = 14.4888888….</span></p> <p><span class="XX">Hence, the sum of a and b is XXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXX a non-zero XXXXXXXX XXXXXX a, XXX an XXXXXXXXXX number b, what can be said about the XXXXXXX XX a XXX b?</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">The product XX a and b XXXX be irrational.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX’s XXXXXXXX!</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Consider XXX following expression</span></p> <p><span XXXXX="s1">XXX above XXXXXXXXXX represents XXX <XXXXXX>sum </XXXXXX>of a <strong>XXXXXXXX number </XXXXXX>and an <strong>irrational number</strong> and XX XXXXXXXXXX XX an <XXXXXX>XXXXXXXXXX number</XXXXXX></span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXX it!</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX above expression XXXXXXXXXX XXX <XXXXXX>product </strong>XX a <XXXXXX>XXXXXXXX XXXXXX </strong>XXX a <strong>XXXXXXXX number </XXXXXX>XXX XX equivalent XX a <XXXXXX>rational XXXXXX.</strong></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"><XXXXXX>Beat XXX test!</strong></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"><XXXXXX>a+ b<span XXXXX="XXXXX-converted-XXXXX"> </span>= XXXXXXXX</strong></span></p> <p><span class="s1"><strong>a - c = irrational</strong></span></p> <p><span class="XX"><XXXXXX>a . b = XXXXXXXX</strong></span></p> <p><span XXXXX="XX"><strong>a/b = XXXXXXXX</XXXXXX></span></p> <p><span XXXXX="XX"><XXXXXX>a . b. c = irrational</XXXXXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"><strong>x . y = z</strong></span></p> <p><span class="s1"><strong>If z is an XXXXXXXXXX XXXXXX, XXXX either x or y XX irrational.<span class="XXXXX-converted-XXXXX"> </span></XXXXXX></span></p> <p><XX></p><p><XX></p><p><span XXXXX="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXX XXXX Algebra 1</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(a)<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">f(-X) = -X</span></p> <p><span XXXXX="s1">f(X) = 2</span></p> <p><span class="s1">f(8) = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)</span></p> <p><span class="XX">f(x) = 11</span></p> <p><span class="XX">x = XX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(c)</span></p> <p><span XXXXX="XX">x = -X, y = -X</span></p> <p><span class="XX">x = -X, y = 0</span></p> <p><span class="XX">x = -2, y = X</span></p> <p><span class="s1">x = X, y = 2</span></p> <p><span class="s1">x = 2, y = 3</span></p> <p><span XXXXX="XX">x = 4, y = 4</span></p> <p><span XXXXX="s1">x = 6, y = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(d) XXXX intersect XX x = 2, y = 3<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(e) x = X, y = X</span></p> <p><span XXXXX="s1">Y = 0.X (X) + 2 = 3</span></p> <p><span XXXXX="s1">Y = 5 - x = X - 2 = 3</span></p> <p><span class="s1">The XXXXX in (d) is a XXXXXXXX to XXXX equations.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXX #2</span></p> <p><span XXXXX="s1">(a)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">(b)<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(c) XXXXXXX XXXXX : x = X, y = -X</span></p> <p><span XXXXX="XX">Maximum value = undefined.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(d)</span></p> <p><span XXXXX="XX">XXX function XX XXXXXXXX between x = -1 XXX x = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(e) The XXXXXXXX XX increasing in XXXXXXXXX x > 1</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(f) XX y = -3, x = 0. XXXX XXX XX seen XXXX the XXXXX and table.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX #X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX" <XXX="" XXX="" graphs="" intersect="" XX="" (-2,X).="" XXXXX="" XXXXXX="" (X)="" XX="" the="" XXXXXX.="">span class="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <ol> <li><span class="XX">(a) g(-X) = 4</span></li> </ol> <p><span class="XX"></span> </p> <p><span class="s1">(b) g(X) = -4</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(c) g(4) = 52</span></p> <p><span XXXXX="s1"></span></p> <p><span class="s1">(d) g(XX) = XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">X.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">x = -2, y = X</span></p> <p><span XXXXX="XX">x = -X, y = 4</span></p> <p><span class="s1">x = X, y = 1</span></p> <p><span class="XX">x = 1, y = 0</span></p> <p><span XXXXX="s1">x = 2, y = X</span></p> <p><span class="s1">x = 3, y = 4</span></p> <p><span XXXXX="XX">x = X, y = 9</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">X.<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1">XXXX x = -1, y = 23. XXX XXXXXX XX not XXXXXX there (XXXXXXX answer XX x=X)<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Applications</span></p> <p><span XXXXX="s1">4. (a)<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">(b) For XXXXXXXX -X < x < X, X(x) < 0. This XXXXXXXXXX negative profit interval.<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(c) X(0) = -X or 6. XXXX represents XXX XXXXX XXXX XXXXX (zero profit).</span></p> <p><span class="s1">(d) x = -X or x = 6. This XXXXXXXXXX XXX XXXXXX of XXXXXXXX XX XXXXXX break XXXX profit.<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Reasoning</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">5. No, Rob is incorrect. XXXX x = -4, f(x) = X.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p><p><XX></p> <p><XX></p> <p><span XXXXX="s1">364CCAlg1U3L1IntroductiontoFunctions<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Exercise #X<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(a)<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="XX">y = XX - X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">x = X, y = -X</span></p> <p><span class="s1">x = 1, y = X - X = 1</span></p> <p><span XXXXX="XX">x = X, y= 4 - 1 = X</span></p> <p><span XXXXX="XX">x = 3, y = X - X = 5</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(b) XXXXXXXX XX y = XX - 1</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX #2<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">XXX input XXXXXX XX x = 8 (y = X(X) + 1 = 17)</span></p> <p><span XXXXX="XX">XX XX harder XXXXXXX you XXXX to XXXX XXX XXXXXXX one by one.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Exercise #X</span></p> <p><span class="s1">Y = 0.XX + (X.5n + 10)</span></p> <p><span class="XX">n = XX</span></p> <p><span XXXXX="XX">X = XX + 25 + XX = 60</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #4</span></p> <p><span class="s1">(a) XXXX rule is a XXXXXXXX as each child name input XXX a XXXXXXXX output birth XXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-XXXXX"> </span>(b) Output XX XXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) XXXX XXX XXXX XXXX XXXX an output XX May. XXXX XX because XXXX XXXXXX still XXXX to an XXXXX. One input XXXXX XXX XXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Exercise #X</span></p> <ol> <li><span class="XX">Charlene starts XXX XX 22 blocks from XXXXXX (at x = 0)</span></li> <li><span class="XX">After 4 XXXXXXX, XXX is 14 XXXXXX from XXXXXX</span></li> <li><span XXXXX="XX">At 6 minutes, XXXXXXXX stops XXX X minutes.</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d) Charlene walked 1 block to XXX subway.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(e) Once XXX got on the train, it took her 4 minutes</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXX</span></p> <p><span XXXXX="s1">X.</span></p> <ol> <li><span class="XX">States/Capitals is a XXXXXXXX. XXX input XXXXX one output.</span></li> <li><span XXXXX="s1">States/Cities XX XXX a XXXXXXXX. One input XXXXX XXXX XXXXXXX.</span></li> <li><span class="s1">Families/Pets XX XXX a XXXXXXXX One input XXXXX XXXX XXXXXXX.</span></li> <li><span XXXXX="XX">Families/Last names XX a function. XXX XXXXX gives XXX output.</span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">2. (a)</span></p> <p><span XXXXX="XX">x = -3, y = 5(-3) - X = -XX</span></p> <p><span XXXXX="s1">x = X, y = 5(0) - 7 = -X</span></p> <p><span class="XX">x = 6, y = X(X) - 7 = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">This XX a function (one XXXXX gives XXX output)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)</span></p> <p><span class="s1">This is XXX a XXXXXXXX. XXX input XXXXX many XXXXXXX (x=3)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(c) This is a XXXXXXXX. One XXXXX XXXXX one XXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(d) This XX not a function. One XXXXX x=2 XXXXX XXXX outputs.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Applications</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">3. Andrew</span></p> <ol> <li><span class="XX">XXX XXXXXX trip was XX XXXXXXX long</span></li> <li><span XXXXX="XX">If he arrived XXXXX 4 minutes, the distance was X blocks</span></li> <li><span class="XX">Andrew XXXXXXX 3 XXXXX XXX X XXXXXX XXXXXXX of traffic light XXXXX</span></li> <li><span class="s1">XXXXXX’s trip XXX longer coming back.</span></li> </ol> <p><span class="XX"></span> </p> <p><span class="s1">X. <span class="Apple-converted-space"></span></span></p> <p><span class="XX"></span> </p><p><XX></p><p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Answers: [-X, 5]</span></p> <p><span XXXXX="s1">(-6, X)</span></p> <p><span XXXXX="XX">(-X, X]</span></p> <p><span XXXXX="s1">[-X, XXXXXXXX)</span></p> <p><span XXXXX="s1">(XXXXXXXX, 5)</span></p> <p><span XXXXX="s1">(XXXXXXXX, -4)</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXXX 2</span></p> <p><span class="XX">(X) [-12, X) <span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Exercise #3</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">12- XX &XX; 0</span></p> <p><span class="XX">XX &XX; 4x</span></p> <p><span XXXXX="s1">X > x</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Interval XXXXXXXX (XXXXXXXX, 3)</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Exercise #4</span></p> <p><span class="XX">XXX solutions XXX:</span></p> <p><span class="s1">(a) [-3, X)</span></p> <p><span class="XX">(b) [-X, 2] or (-3, X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Exercise #X. The XXXXXX XX (X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Equivalent XXXXXXXX XXXXXXXX:<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">X(a) -X < x ≤ X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">1(b) x ≤ -7 and x &XX; -X</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(a) x > 4</span></p> <p><span class="XX"></span></p> <p><span class="XX">X (1) 9 < t &XX; XX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">4.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">(a)<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">Both use during X-9AM and X-7PM. XXXXXXXX XX 7 &XX; x &XX; X XXX 15 < x &XX; 19<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(b) No, XXXXX will XXX be such a XXXX XX XXX maximum period XX overlapping XXX XX XXXX XXXXX.<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X. Aidan should XXXX shaded XXX rightmost circle XXX XXXX the leftmost circle hollow.</span></p><p><br></p> <p><br></p> <p><XX></p> <p><br></p> <p><br></p> <p><br></p> <p><XX></p> <p><XX></p> <p><XX></p> <p><br></p> <p><XX></p> <p><XX></p> <p><br></p> <p><br></p> <p><br></p>">
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