Chapter 9: Problem 53
The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=-13, y=-52$$
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Solve the equation or write no solution. Write the solutions as integers if possible. Otherwise write them as radical expressions. $$b^{2}=64$$
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 evaluate the expression. Round the results to the nearest hundredth. $$\frac{5 \pm 6 \sqrt{3}}{3}$$
Sketch the graph of the function. Label the vertex. y=6 x^{2}-4 x-1
INTERPRETING THE DISCRIMINANT Consider the equation \(\frac{1}{2} x^{2}+\frac{2}{3} x-3=0\) Evaluate the discriminant.
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