Solve using the substitution method. \[ \begin{aligned} x+y=8 \\ y=3-x\end{aligned} \] A. (1) (2) There is one solution. The solution of the system is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions of the form ( \( x \). (Simplify your answer.) C. There is no solution.

The electricity rates charged by Monroe Utilities in the summer months are as follows. - Base Charge is \( \$ 8.50 \) - First 600 kWh or less at \( \$ 0.05 / \mathrm{kWh} \) - Over 600 kWh at \( \$ 0.08 / \mathrm{kWh} \) The base is a fixed monthly charge, independent of the kWh (kilowatt-hours) used during the month. a. Find an expression for the cost function \( C(x) \) for usage of or under 600 kWh . \( C(x)=\square<x \leq 600 \) b. Find the charge for using 800 kWh . \( \$ \square \)

Which of the following is equivalent to \( 3 \ln a-\frac{1}{2}\left(\ln b+\ln c^{2}\right) ? \) (1 point) \( \frac{\ln \left(\frac{3 a}{0.5 b^{2} c}\right)}{\frac{3}{2} \ln \left(\frac{a}{b c^{2}}\right)} \) \( \ln \left(\frac{a^{3}}{b c^{2}}\right) \) \( \ln \left(\frac{a^{3}}{c \sqrt{b}}\right) \)

1) \( \lg (x-1)-\lg (2 x-11)=\lg 2 \)

\( \frac{3x-4}{6}=^{\frac{7}{}}8 \)

Solve \( \log _{2}\left(\log _{4} x\right)=3 \) (1 point) \[ \begin{array}{l}x=262,144 \\ x=4,096 \\ x=65,536 \\ x=6,561\end{array} \]