2.2 Prove that \( 2^{x}+2^{x+1}+3.2^{x}+2^{x+2}+\ldots(15 \) terms \( )=15.2^{x+3} \)

Часть 2 1. Упростите выражение \( -6(-a+3 b)+4(-2 a-b) \) и найдите его значение при \( a=-\frac{1}{4}, b=-\frac{3}{22} \).

Solve the equation. Che 1. \( 5 n-2=3 n+6 \)

a) \( \frac{9 x+28}{20}-\left(\frac{3 x-4}{5}-\frac{x}{4}\right)-\frac{7(2 x-1)}{15}+\frac{1}{2}=\frac{x}{16}-4 \)

Use the Slope Formula to find the Slope of a Line between Two Points In the following exercises, use the slope formula to find the slope of the line between each pair of points. \( \begin{array}{lll}\text { 251. }(1,4),(3,9) & \text { 252. }(2,3),(5,7) & \text { 253. }(0,3),(4,6) \\ \text { 254. }(0,1),(5,4) & \text { 255. }(2,5),(4,0) & \text { 256. }(3,6),(8,0) \\ \text { 257. }(-3,3),(4,-5) & \text { 258. }(-2,4),(3,-1) & \text { 262. }(3,-6),(2,-2) \\ \text { 260. }(-2,-1),(6,5) & \text { 261. }(4,-5),(1,-2) & \end{array} \)

5. Найдите значение выражения: \( \frac{m}{m-1} \) при \( m=-\frac{1}{3} \). А. 2,25 Б. 0,25 В. \( \frac{4}{9} \) Г. 4