Solve the linear programming problem. \( \begin{array}{l}\text { Maximize } \\ P=30 x+40 y \\ \text { Subject to } \\ \begin{aligned} 2 x+y & \leq 14 \\ x+y & \leq 8 \\ x+2 y & \leq 12 \\ x, y & \geq 0\end{aligned}\end{array} \).

-11) \( \frac{22^{4} \cdot 8^{4}}{121^{4} \cdot 4^{6}}= \)

Solve for \( r \). \( 3^{r}+3^{3-r}=28 \)

3. \( 3 x(4 x-5) \)

9. Use any method to solve the system: \( \left\{\begin{array}{c}x^{2}+y^{2}=9 \\ 9 x^{2}+4 y^{2}=36\end{array}\right. \)

QUESTION 3 3.1 Given the number pattern \( 2 ; y ; 8 ; \ldots \) Determine the value of \( y \) if: 3.1.1 The number pattern is linear. 3.1.2 The number pattern is quadratic and \( T_{4}=2+5 y \). 3.2 In a linear number pattern, the \( 19^{\text {th }} \) term is 40 and the \( 7^{\text {th }} \) term is 16 . Thus, determine the first two terms. 3.3 The general term of a quadratic number pattern is \( T_{n}=n^{2}+2 n-15 \). Determine which term has a value of 20 .