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Chapter 7: Problem 16
Solve each system by the substitution method. Be sure to check all proposed solutions. \(\left\\{\begin{array}{l}2 x-3 y=-13 \\ y=2 x+7\end{array}\right.\)
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What is an exponential function?
Graph the solution set of each system of inequalities.
\(\left\\{\begin{array}{l}y<-2 x+4 \\ y
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. $$ \begin{array}{|r|r|} \hline x & y \\ \hline 0 & 0 \\ \hline 9 & 1 \\ \hline 16 & 1.2 \\ \hline 19 & 1.3 \\ \hline 25 & 1.4 \\ \hline \end{array} $$
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. When graphing \(3 x-4 y<12\), it's not necessary for me to graph the linear equation \(3 x-4 y=12\) because the inequality contains a \(<\) symbol, in which equality is not included.
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. \(y=x^{2}+10 x+9\)
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