Find the GCF of the given list. \( 65 x, 143 \) The GCF of \( 65 x \) and 143 is

What is the true solution to the equation below? \( \begin{array}{l}2 \log _{3}(6 x)-\log _{3}(4 x)=2 \log _{3}(x+2) \\ x=-2 \text { and } x=1 \\ x=-2 \text { and } x=2 \\ x=1 \text { and } x=4 \\ x=2 \text { and } x=4\end{array} \) \( \begin{array}{l}x\end{array} \)

행렬 \( A=\left(\begin{array}{cc}-2 & -3 \\ 1 & 1\end{array}\right) \) 에 대하여 \( A^{7} \) 을 구하여라.

Let \( y \) represent the total cost of publishing a book (in dollars). Let \( x \) represent the number of copies of the book printed. Suppose that \( x \) and \( y \) are related by the equation \( y=1100+10 x \). Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in the total cost for each book printed? \( \$ \square \)

Find the product and simplify if possible. \[ \frac{(r+s)^{5}}{5 r-5 s} \cdot \frac{5 r}{r^{2}+r s} \] \( \frac{(r+s)^{5}}{5 r-5 s} \cdot \frac{5 r}{r^{2}+r s}=\square \) (Simplify your answer. Type your answer in factored form.)

Find the quotient and simplify the result. \[ \frac{x+3}{9-x}+\frac{x^{2}-11 x+30}{x^{2}-15 x+54} \] \( \frac{x+3}{9-x}+\frac{x^{2}-11 x+30}{x^{2}-15 x+54}=\square \) (Simplify your answer.)