Chapter 9: Problem 90
Evaluate the expression. y^{2}-y \text { when } y=-2
Chapter 9: Problem 90
Evaluate the expression. y^{2}-y \text { when } y=-2
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Get started for freeMULTI-STEP PROBLEM You are on a team that is building a roller coaster. The vertical height of the first hill of the roller coaster is supposed to be 220 feet. According to the design, the path of the first hill can be modeled by \(y=0.039 x^{2}-0.331 x+1.850,\) where \(y\) is the vertical height in feet and \(x\) is the horizontal distance in feet. The first hill can use only 75 feet of horizontal distance. a. Use the model to determine whether the first hill will reach a height of 220 feet. b. What minimum horizontal distance is needed for the first hill to reach a vertical height of 220 feet? c. Writing Can you build the first hill high enough? Explain your findings. d. CRITICAL THINKING Is the shape of the graph the same as the shape of the hill? Why or why not?
Write the prime factorization. (Skills Review, p. \(T T T\) ) $$72$$
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$\frac{2}{3} n^{2}-6=2$$
GOVERNMENT PAYROLL In Exercises 27 and 28 , use a graphing calculator and the following information. For a recent 12-year period, the total government payroll (local, state, and federal) in the United States can be modeled by \(P=26 t^{2}+1629 t+19,958\) where \(P\) is the payroll in millions of dollars and \(t\) is the number of years since the beginning of the 12 -year period. \(=\) Source: U.S. Bureau of the Census Use a graphing calculator to find out how many years it will take for the total payroll to reach 80 billion dollars according to the model.
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$\frac{1}{2} x^{2}+3=8$$
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