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Problem 58

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{aligned}&3 x+2 y=-4\\\&2 x-y=-5\end{aligned}$$

Problem 58

Find each matrix product if possible. $$\left[\begin{array}{rrr} -6 & 3 & 5 \\ 2 & 9 & 1 \end{array}\right]\left[\begin{array}{r} -2 \\ 0 \\ 3 \end{array}\right]$$

Problem 59

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{array}{l}4 x+3 y=-7 \\\2 x+3 y=-11\end{array}$$

Problem 59

Solve each system graphically. Check your solutions. Do not use a calculator. $$\begin{array}{r}x+y=3 \\\2 x-y=0\end{array}$$

Problem 59

Graph the solution set of each system of inequalities by hand. $$\begin{aligned} &y \leq\left(\frac{1}{2}\right)^{x}\\\ &y \geq 4 \end{aligned}$$

Problem 59

Find the equation of the parabola with vertical axis that passes through the data points shown or specified. Check your answer. $$(1.5,6.25),(0,-2),(-1.5,3.25)$$

Problem 59

Find each matrix product if possible. $$\left[\begin{array}{rr} 5 & 2 \\ -1 & 4 \end{array}\right]\left[\begin{array}{rr} 3 & -2 \\ 1 & 0 \end{array}\right]$$

Problem 60

Find each matrix product if possible. $$\left[\begin{array}{rr} -4 & 0 \\ 1 & 3 \end{array}\right]\left[\begin{array}{rr} -2 & 4 \\ 0 & 1 \end{array}\right]$$

Problem 60

Graph the solution set of each system of inequalities by hand. $$\begin{array}{r} \ln x-y \geq 1 \\ x^{2}-2 x-y \leq 1 \end{array}$$

Problem 60

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{aligned}&4 x-y=0\\\&2 x+3 y=14\end{aligned}$$

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