91Ó°ÊÓ

Find the domain of each of the following rational expressions. $$ \frac{5 x}{x(x+4)} $$

Solve \(\frac{12}{m-4}+5=\frac{3 m}{m-4}\).

A delivery boy, working alone, can deliver all his goods in 6 hours. Another delivery boy, working alone, can deliver the same goods in 5 hours. How long will it take the boys to deliver all the goods working together?

Simplify each complex rational expression. $$ \frac{\frac{1}{a+b}-\frac{1}{a-b}}{\frac{1}{a+b}+\frac{1}{a-b}} $$

Two sides of a triangle have the same length. The third side is twice as long as either of the other two sides. The perimeter of the triangle is 56 inches. What is the length of each side?

Factor \(x^{2}-12 x+36\).

For the following problems, add or subtract the rational expressions. $$ \frac{4}{x-6}+\frac{1}{x-1} $$

For the following problems, solve the rational equations. $$ \frac{4}{x-1}+\frac{7}{x+2}=\frac{43}{x^{2}+x-2} $$

For the following problems, solve the rational equations. $$ \frac{-5}{y-3}+\frac{2}{y-3}=\frac{3}{y-3} $$

For the following problems, find the solution. When three fourths of a number is added to the reciprocal of the number, the result is \(\frac{173}{16}\). What is the number?