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Chapter 7: Problem 33
In Exercises 33-46, evaluate each function at the given value of the variable. \(f(x)=x-4\) a. \(f(8)\) b. \(f(1)\)
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Find the vertex for the parabola whose equation is given by writing the equation in the form \(y=a x^{2}+b x+c\). \(y=(x-4)^{2}+3\)
Graph each linear inequality. \(y \leq 3 x+2\)
Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}x \geq 4 \\ y \leq 2\end{array}\right.\)
Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}3 x+y \leq 9 \\ 3 x+y \geq 9\end{array}\right.\)
The data can be modeled by $$ f(x)=782 x+6564 \text { and } g(x)=6875 e^{0.077 x} \text {, } $$ in which \(f(x)\) and \(g(x)\) represent the average cost of a family health insurance plan \(x\) years after 2000. Use these functions to solve Exercises 33-34. Where necessary, round answers to the nearest whole dollar. a. According to the linear model, what was the average cost of a family health insurance plan in 2011? b. According to the exponential model, what was the average cost of a family health insurance plan in 2011 ? c. Which function is a better model for the data in 2011 ?
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