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Chapter 7: Problem 20
Graph each linear inequality. \(y>-2\)
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In Exercises 15-22, a. Create a scatter plot for the data in each table. b. Use the shape of the scatter plot to determine if the data are best modeled by a linear function, an exponential function, a logarithmic function, or a quadratic function. $$ \begin{array}{|r|r|} \hline x & y \\ \hline 0 & 0 \\ \hline 9 & 1 \\ \hline 16 & 1.2 \\ \hline 19 & 1.3 \\ \hline 25 & 1.4 \\ \hline \end{array} $$
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 ?
Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{r}2 x-y<3 \\ x+y<6\end{array}\right.\)
Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}3 x+y \leq 9 \\ 3 x+y \geq 9\end{array}\right.\)
a. Determine if the parabola whose equation is given opens upward or downward. b. Find the vertex. c. Find the \(x\)-intercepts. d. Find the \(y\)-intercept. e. Use (a)-(d) to graph the quadratic function. \(f(x)=x^{2}+4 x-5\)
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