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Quadratic Equations, Graphs, Rational Inequalities and Word Problems

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Includes the following Exercises:
-Quadratic and Rational Inequalities; 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'?

Solution Summary

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

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.