1. There is a proportional relationship between the distance a car drives and the amount of gas used. Complete the table. 2. Find each ratio. \( \frac{\text { miles }}{\text { gallons }} \rightarrow \frac{100}{5}=\frac{200}{15}=\frac{400}{}=\frac{600}{30} \) Each ratio is equal to 3. Let \( x \) represent gallons of gas used. Let \( y \) represent b. The equation that describes the relationship is

257. Funksiýalaryň grafigini guruň: \( \begin{array}{ll}\text { a) } y=x^{2}+6 x ; & \text { ç) } y=0,5 x^{2}-4\end{array} \)

7. Исследуйте но чётность и нечетность функции а) \( \mathrm{y}=4 \mathrm{x}-2 \mathrm{x}^{3}+6 \mathrm{x}^{5} \quad \); б) \( f(x)=\frac{5}{x^{4}+4 x^{2}} \)

Find \( \|\mathbf{v}\| \). \( \mathbf{v}=-3 \mathbf{i}+7 \mathbf{j} \) \( \begin{array}{l}\|\mathbf{v}\|=\square \\ \text { (Simplify your answer. Type an exact answer, using radicals as needed.) }\end{array} \)

20. Vereinfache im Kopf. \( \begin{array}{lll}\text { a) }\left(5^{\frac{4}{5}}\right)^{\frac{5}{2}} & \text { b) }\left(36^{\frac{3}{4}}\right)^{\frac{2}{3}} & \text { c) }\left(49^{-\frac{6}{7}}\right)^{\frac{7}{12}}\end{array} \)

Using the change of base formula, express \( \log_{2}(8) \) in terms of common logarithm.