The holes of the graph of a rational function are determined by finding values of \( x \) such that \( (x-a) \) is a common factor of the numerator and the denominator and \( x=a \) makes the denominator zero. \[ g(x)=\frac{6 x}{(x-1)(x+6)} \] The factored rational function -Select-v have any common factors with values that make the denominator zero. Find any holes of the graph. (If an answer does not exist, enter DNE.) \( (x, y)=\square \)

Rafael ordered some books online and spent a total of \( \$ 89 \). Each book cost \( \$ 5 \) and he paid a total of \( \$ 4 \) for shipping. How many books did he buy? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 89,5 , and 4 . Let \( b \) represent the number of books. \( \square b-\square=\square=\square \) \( b=\square \)

Solve for \( s \). \[ P=q+10+s \]

Solve. \[ -3 w(w+1)(w+2)=0 \] (If there is more than one solution, separate them with commas.)

Find all the zeros of the quadratic function. \[ y=x^{2}-6 x-16 \] If there is more than one zero, separate them with commas. If there are no zeros, click on "None". zero(s): \( \square \)

Multiply. \[ (3 a+1)(a+7) \] Simplify your answer. (1.