5. A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance \( x \) to the length and width. Write and solve an equation to find the value of \( x \). What are the dimensions of the enclosure?

\( x+y+z=6 \) \( 3 x-2 y+6 z=11 \) \( x+z=7 \) Selesaikan porsamaun ini dengan operas baris elementer-dengan actem porcyection.

23. REASONING A student theater charges \( \$ 9.50 \) per ticket. a. The theater has already sold 70 tickets. Write and solve an inequality that represents how many more tickets the theater needs to sell to earn at least \( \$ 1000 \). b. The theater increases the ticket price by \( \$ 1 \). Without solving an inequality, describe how this affects the total number of tickets needed to earn at least \( \$ 1000 \).

Factor the polynomial function \( f(x)=4 x^{3}+20 x^{2}+29 x+10 \) Note: Write \( \left(x-\frac{a}{b}\right) \) as \( (b x-a) \) The zeros are \( f(x)= \)

Find \( \sum_{i=3}^{7}\left(-\left(-\frac{1}{3}\right)^{i-1}\right) \) First write out the summation: Find the answer:

\( \left. \begin{array} { c } { x + y + z = 6 } \\ { \left. \begin{array} { c } { 3 x - 2 y + 6 z = 11 } \\ { x + z = 7 } \end{array} \right. } \end{array} \right. \Rightarrow \left[ \begin{array} { c c c c } { 1 } & { 1 } & { 1 } & { 6 } \\ { 3 } & { - 2 } & { 6 } & { 1 } \\ { 1 } & { 0 } & { 1 } & { 7 } \end{array} \right] \)