91Ó°ÊÓ

Write the quotient in standard form. $$\frac{8-7 i}{1-2 i}$$

Solving an Equation Involving an Absolute Value Find all solutions of the equation algebraically. Check your solutions. $$|3 x+2|=7$$

Use a graphing utility to approximate any solutions of the equation. [Remember to write the equation in the form \(f(x)=0.1\) $$8-\sqrt{x+9}=6$$

Use the Quadratic Formula to solve the equation. Use a graphing utility to verify your solutions graphically. $$x^{2}+16=-5 x$$

Determine the intervals on which the polynomial is entirely negative and those on which it is entirely positive. $$-2 x^{2}+x+5$$

Determine the intervals on which the polynomial is entirely negative and those on which it is entirely positive. $$-x^{2}+6 x-10$$

(a) Use a graphing utility to complete the table. Determine the interval in which the solution to the equation \(3.2 x-5.8=0\) is located. Explain your reasoning. $$\begin{array}{|l|l|l|l|l|l|l|} \hline x & -1 & 0 & 1 & 2 & 3 & 4 \\ \hline 3.2 x-5.8 & & & & & & \\ \hline \end{array}$$ (b) Use the graphing utility to complete the table. Determine the interval in which the solution to the equation \(3.2 x-5.8=0\) is located. Explain how this process can be used to approximate the solution to any desired degree of accuracy. Then use the graphing utility to verify graphically the solution to \(3.2 x-5.8=0\) $$\begin{array}{|l|l|l|l|l|l|l|} \hline x & 1.5 & 1.6 & 1.7 & 1.8 & 1.9 & 2 \\ \hline 3.2 x-5.8 & & & & & & \\ \hline \end{array}$$

Use the Quadratic Formula to solve the equation. Use a graphing utility to verify your solutions graphically. $$4 x=8-x^{2}$$

Solving an Equation Involving an Absolute Value Find all solutions of the equation algebraically. Check your solutions. $$|x|=x^{2}+x-24$$

A certificate of deposit with an initial deposit of \(\$ 8000\) accumulates \(\$ 200\) interest in 2 years. Find the annual simple interest rate.