Charlie is racing in a black car. It is 12 noon. He gets a 45 -mile headstart from the starting line. He then travels at a speed of 70 miles per hour. Write the equation for this scenario.

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 .

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

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

If \( f(x)=\left\{\begin{array}{ll}2 x-5 & \text { if }-2 \leq x \leq 4 \\ x^{3}-4 & \text { if } 4<x \leq 5\end{array}\right. \), find: (a) \( f(0) \), (b) \( f(1),(c) f(4) \), and \( (d) f(5) \). (a) \( f(0)=\square \) (b) \( f(1)=\square \) (c) \( f(4)=\square \) (d) \( f(5)=\square \)

4. Jug A contains 5 times as much water as Jug B. After some water is poured from Jug A to Jug B, there are 1860 ml of water in each jug. How much water is poured from Jug A to Jug B?