Solve for \( x \) \[ 13^{2 x}=4^{x-9} \] Write the exact answer using either base-10 or base-e logarithms.

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another meth Write all numbers as integers or simplified fractions. \[ \begin{array}{l}7 x+7 y=-19 \\ \\ -9 x-5 y=4 \\ \text { Part: } 0 / 2 \\ \text { Part } 1 \text { of } 2 \\ \text { Evaluate the determinants } D_{1} D_{x} \text {, and } D_{y} \\ D=\square\end{array} \] \( \square \)

4. \( x^{2}-6 x+8 \leq 0 \)

Question 2 of 25 After the drama club sold 100 tickets to a show, it had \( \$ 300 \) in profit. After the next show, it had sold a total of 200 tickets and had a total of \( \$ 700 \) profit. Which equation models the total profit, \( y \), based on the number of tickets sold, \( x \) ?

Use the elimination method to find all solutions of the system: \( \left\{\begin{array}{l}x^{2}-2 y=7 \\ x^{2}+5 y=14\end{array}\right. \) The two solutions of the system are: (the one with \( x<0 \) is) \( x=\square \) \( y=\square \) (the one with \( x>0 \) is) \( x=\square \) \( y=\square \)

Find dif \( a_{1}=-17 \) and \( a_{13}=-29 \)