Figure for in 30 in x 93 farmers delight the manager

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Chapter 10 / Exercise 70
Calculus
Stewart
Expert Verified
Figure for Exercise 8940 in.30 in.xFind the solutions to 6x25x40. Is the sum ofyour solutions equal toba? Explain why the sum of the solutions to any quadratic equation is a. (Hint:Use the quadratic formula.)96.DiscussionUse the result of Exercise 95 to check whether23, 13is the solution set to 9x23x20. If thissolution set is not correct, then what is the correctsolution set?97.DiscussionWhat is the product of the two solutions to6x25x40? Explain why the product of thesolutions to any quadratic equation isac.98.DiscussionUse the result of the previous exercise to check whether92,2 is the solution set to 2x213x180.If this solution set is not correct, then what is thecorrect solution set?93.Farmer’s Delight.The manager of Farmer’s Delightbought a load of watermelons for $750 and priced thewatermelons so that he would make a profit of $2 on eachmelon. When all but 100 of the melons had been sold, hebroke even. How many did he buy originally?94.Traveling club.The members of a traveling club plan toshare equally the cost of a $150,000 motorhome. If theycan find 10 more people to join and share the cost, thenthe cost per person will decrease by $1250. How manymembers are there originally in the club?246810200300400Getting More Involved95.DiscussionFind the solutions to 6x25x40. Is the sum ofyour solutions equal toba? Explain why the sum of the solutions to any quadratic equation is a. (Hint:Use the quadratic formula.)96.DiscussionUse the result of Exercise 95 to check whether23, 13is the solution set to 9x23x20. If thissolution set is not correct, then what is the correctsolution set?97.DiscussionWhat is the product of the two solutions to6x25x40? Explain why the product of thesolutions to any quadratic equation isac.98.DiscussionUse the result of the previous exercise to check whether92,2 is the solution set to 2x213x180.If this solution set is not correct, then what is thecorrect solution set?bGraphing Calculator ExercisesDetermine the number of real solutions to each equation byexamining the calculator graph of yax2bxc. Use thediscriminant to check your conclusions.
Figure for Exercise 88Height (ft)246810200300400Time (sec)00100dug22241_ch10a.qxd 11/10/2004 18:30 Page 638
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Calculus
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Chapter 10 / Exercise 70
Calculus
Stewart
Expert Verified
10-2310.3Graphing Parabolas639Finding Ordered PairsIt is straightforward to calculate ywhen given xfor an equation of the form yaxbxc. However, if we are given yand want to find x, then we must use methods forsolving quadratic equations.The Vertex and InterceptsApplicationsE X A M P L E 1Finding ordered pairsComplete each ordered pair so that it satisfies the given equation.a)(2,), (, 0), yx2xb)(0,), (, 20), y16x248x84210.3Graphing ParabolasThe graph of any equation of the form ymxbis a straight line. In this sectionwe will see that all equations of the form yax2bxc(with a0) have graphsthat are in the shape of a parabola.In this SectionFinding Ordered PairsGraphing Parabolas6Solution
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