Chapter 9: Problem 70
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$6 y^{2}+22=34$$
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Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=6, b=-8, c=4$$
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$6 s^{2}-12=0$$
FINANCIAL ANALYSIS In Exercises 29 and \(30,\) use a graphing calculator and the following information. You are a financial analyst for a software company. You have been asked to project the net profit of your company. The net profit of the company from 1993 to 1998 can be modeled by \(P=6.84 t^{2}-3.76 t+9.29\) where \(P\) is the profit in millions of dollars and \(t\) represents the number of years since \(1993 .\) Use the model to predict whether the net profit will reach 650 million dollars.
In parts (a)-(d), a batter hits a pitched baseball when it is 3 feet off the ground. After it is hit, the height \(h\) (in feet) of the ball at time \(t\) (in seconds) is modeled by$$h=-16 t^{2}+80 t+3$$where \(t\) is the time (inseconds). a.Find the time when the ball hits the ground in the outfield. b.Write a quadratic equation that you can use to find the time when the baseball is at its maximum height of 103 feet. Solve the quadratic equation. c.Use a graphing calculator to graph the function. Use the zoom feature to approximate the time when the baseball is at its maximum height. Compare your results with those you obtained in part (b). d.What factors change the path of a baseball? What factors would contribute to hitting a home run?
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$\frac{2}{3} n^{2}-6=2$$
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