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Chapter 5: Problem 14
Write the partial fraction decomposition of each rational expression. $$\frac{9 x+21}{x^{2}+2 x-15}$$
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In \(1985,\) college graduates averaged \(\$ 508\) in weekly earnings. This amount has increased by approximately \(\$ 25\) in weekly earnings per year. By contrast, in 1985 , people with less than four years of high school averaged \(\$ 270\) in weekly earnings. This amount has only increased by approximately \(\$ 4\) in weekly earnings per year. a. Write a function that models weekly earnings, \(E,\) for college graduates \(x\) years after 1985 b. Write a function that models weekly earnings, \(E,\) for people with less than four years of high school \(x\) years after 1985 c. How many years after 1985 will college graduates be earning three times as much per week as people with less than four years of high school? (Round to the nearest whole number.) In which year will this occur? What will be the weekly earnings for each group at that time? (GRAPH CAN'T COPY)
In Exercises \(5-18\), solve each system by the substitution method. $$ \begin{aligned} &3 x-4 y=x-y+4\\\ &2 x+6 y=5 y-4 \end{aligned} $$
Sketch the graph of the solution set for the following system of inequalities: $$ \begin{array}{r}|x+y| \leq 3 \\\|y| \leq 2\end{array} $$
Find the partial fraction decomposition of $$\frac{4 x^{2}+5 x-9}{x^{3}-6 x-9}$$
In Exercises \(19-30,\) solve each system by the addition method. \(3 x+2 y=14\) \(3 x-2 y=10\)
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