There is a proportional relationship between the distance a car drives and amount of gas used. Complete the table. Find each ratio. \( \frac{\text { miles }}{\text { gallons }} \rightarrow \frac{100}{5}=\frac{200}{10}=\frac{300}{15}=\frac{400}{20}=\frac{500}{25}=\frac{600}{30} \) Each ratio is equal to 1.530 Let \( x \) represent gallons of gas used Let \( y \) represent The equation that describes the relationship is

1. Find the product of \( \left(\frac{x}{4}-\frac{1}{3}\right) \) and \( \left(\frac{x}{4}+\frac{1}{3}\right) \) (Algebraic fructions)

6. \( f(x)=\left(x^{2}-1\right)\left(3 x^{2}-6 x+5\right)-(x+4)\left(4 x^{2}-2 x+1\right) \) 7. \( f(x)=\frac{3}{2}(\sqrt{x}-4)(4 x-5) \) 8. \( f(x)=(2 x-1)(3 x+4)(x+7) \) 9. \( f(x)=\frac{8 x^{2}-2 x+1}{x^{2}-5 x} \) 10. \( f(x)=\frac{x^{2}-4 x+3}{2 x^{2}-3 x+2} \)

Form a polynomial whose real zeros and degree are given. Zeros:-5,-4,3,5; degree: 4 . A polynomial with integer coefficients and a leading coefficient of 1 is \( f(x)= \). (Simplify your answer.)

20) \( \begin{array}{l}2 x+3 y=-12 \\ 5 x-3 y=-9\end{array} \)

Express the product of \( (2+\sqrt{-9}) \) and \( (3-\sqrt{-16}) \) in the form \( a+b i \). (complex and imaginany