Solve the quadratic equation by completing the square. \( x^{2}+8 x=-7 \) To complete the square, what number should be added to both sides of the equation? 16 (Type an integer or a simplified fraction.) The solution set is 3 . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Divide. Give the exact answer, written as a decimal. \( 7 . 5 \longdiv { 6 6 8 . 1 } \) Submit

A grocery store estimates that the revenue (in dollars) from the sale of \( x \) cases of condensed soup is given by \( R(x)=-5,600+9.4 x-0.0014 x^{2} \). Use the differential to approximate the change in revenue from the sale of one more case of soup when 1,100 cases are sold.

sketch the following araph, labelling bey features with exact co-ordinates: \( y=2^{x-1}+3 \)

Divide, and then simplify, if possible, \[ \frac{3 m+n}{16} \div\left(9 m^{2}+6 m n+n^{2}\right) \]

5. The function \( f \) is defined, for all values of \( x \), by \[ f(x)=4 x^{2}(2-3 x) \] Determine if \( f(x) \) is increasing or decreasing at \( x=\frac{1}{3} \) and \( x=2 \)