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Quadratic Equations, Graphs, Rational Inequalities and Word Problems

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Includes the following Exercises:
-Quadratic Functions and Their Graphs
-Quadratic and Rational Inequalities; Equations, Functions and Inequalities
-Quadratic Equations, Functions, and Inequalities

Maximum height. If a baseball is projected upward from ground level with an initial velocity of 64 fcct per second, then its height is a function of time, given by s(t) = ? 16t2 + 64t. Graph this function for 0 < t < 4. What is the maximum height reached by the ball'?

Maximum height. If a soccer ball is kicked straight up with an initial velocity of 32 feet per second, then its height above the earth is a function of time given by s(t) = -16t2 + 32t. Graph this function for 0 < t < 2. What is the maximum height reached by this ball'?'

Minimum cost. It costs Acme Manufacturing C dollars per hour to operate its golf ball division. An analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x2 ? 1.8x + 100. What number of halls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?

Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P = ?25x2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit'?

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Quadratic Equations, Graphs, Rational Inequalities and Word Problems are investigated.

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