91Ó°ÊÓ

Match the rational expression \((1-6)\) with the form of the partial-fraction decomposition \((a-f)\). a. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C x+D}{x^{2}+25}\) b. \(\frac{A}{x}+\frac{B x+C}{x^{2}+25}+\frac{D x+E}{\left(x^{2}+25\right)^{2}}\) c. \(\frac{A}{x}+\frac{B x+C}{x^{2}+25}\) d. \(\frac{A}{x}+\frac{B}{x+5}+\frac{C}{x-5}\) e. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C x+D}{x^{2}+25}+\frac{E x+F}{\left(x^{2}+25\right)^{2}}\) f. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C}{x+5}+\frac{D}{x-5}\) $$\frac{3 x+2}{x^{2}\left(x^{2}-25\right)}$$

state the order of each matrix. $$\left[\begin{array}{llll}-4 & 5 & 3 & 71\end{array}\right]$$

Solve each system of linear equations by substitution. $$\begin{aligned} &4 x+3 y=3\\\ &2 x+y=1 \end{aligned}$$

Solve each system of linear equations. $$\begin{array}{rr} x+y+z= & -1 \\ -x+y-z= & 3 \\ -x-y+z= & 8 \end{array}$$

Match the rational expression \((1-6)\) with the form of the partial-fraction decomposition \((a-f)\). a. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C x+D}{x^{2}+25}\) b. \(\frac{A}{x}+\frac{B x+C}{x^{2}+25}+\frac{D x+E}{\left(x^{2}+25\right)^{2}}\) c. \(\frac{A}{x}+\frac{B x+C}{x^{2}+25}\) d. \(\frac{A}{x}+\frac{B}{x+5}+\frac{C}{x-5}\) e. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C x+D}{x^{2}+25}+\frac{E x+F}{\left(x^{2}+25\right)^{2}}\) f. \(\frac{A}{x}+\frac{B}{x^{2}}+\frac{C}{x+5}+\frac{D}{x-5}\) $$\frac{3 x+2}{x\left(x^{2}+25\right)^{2}}$$

In Exercises \(5-20,\) graph each linear inequality. $$y>x-1$$

Determine the order of each matrix. $$[0]$$

state the order of each matrix. $$\left[\begin{array}{ccc}-3 & 4 & 1 \\\10 & 8 & 0 \\\\-2 & 5 & 7\end{array}\right]$$

Solve each system of linear equations. $$\begin{array}{rr} -x+y-z= & -1 \\ x-y-z= & 3 \\ x+y-z= & 9 \end{array}$$

Solve each system of linear equations by substitution. $$\begin{aligned} &3 x+y=5\\\ &2 x-5 y=-8 \end{aligned}$$