Encuentra la suma de la serie geométrica \( +1.2+1.2^{2}+1.2^{3}+\ldots+1.2^{74} \)

Solve the equation and check the solution. \( 8-7=\frac{1}{7} y-9 \) \( y=\square \) (Type an integer or a fraction.)

10. Solve the following equations. (a) \( 3(2 x+1)-2(2 x-7)=5(x-11) \) (b) \( \left(\frac{1}{x}-2\right)^{2}=\frac{1}{9} \) (c) \( \frac{2 x-1}{4}-\frac{x+1}{3}+1=0 \)

4) Five pounds of fruit and 3 pounds of nuts cost \( \$ 78.66 \). Three pounds of fru and 5 pounds of nuts cost \( \$ 56.86 \). Mrs. Silvers paid \( \$ \) for 2 pound of fruit and 2 pounds of nuts.

Simplify. \( -\frac{3}{11}+\frac{5}{24}\left(-\frac{5}{7}+\frac{1}{35}\right) \) \( -\frac{3}{11}+\frac{5}{24}\left(-\frac{5}{7}+\frac{1}{35}\right)=\square \) (Type an integer or a simplified fraction.)

Given \( g \) and \( h \) as defined below, determine \( g+h, h-g, g h \), and \( \frac{h}{g} \). Using interval notation, report the domain of each result. \( g(x)=\frac{x+2}{x^{2}-36} \) and \( h(x)=\frac{-5 x+7}{x^{2}-36} \) (a) \( (g+h)(x)=\square \) Domain of \( (g+h)(x): \) (b) \( (h-g)(x)=\square \) Domain of \( (h-g)(x): \) (c) \( (g h)(x)=\square \) Domain of \( (g h)(x): \square \) (d) \( (x)=\square \) Domain of \( \left(\frac{h}{g}\right)(x): \)