Chapter 9: Problem 87
Evaluate the expression. x^{2} \text { when } x=-5
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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.
Sketch the graph of the function. Label the vertex. y=4 x^{2}-\frac{1}{4} x+4
LOGICAL REASONING Consider the equation \(a x^{2}+b x+c=0\) and use the quadratic formula to justify the statement. If \(b^{2}-4 a c\) is negative, then the equation has no real solution.
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$6 s^{2}-12=0$$
Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=3, b=-7, c=6$$
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