Which of the following is a factor of f(x) = 5x3 + 24x2 − 75x + 14? a. (x + 1 over 2) b. (x − 1 over 2) c. (x + 2) d. (x − 2)

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Apublic library wants to place 4 magazines and 9 books on each display shelf. the expressions 4s +9s represents the total number of items that will be displayed on s shelves. simplify this expression

Write an inequality and solve each problem.for exercises 11 and 12, interpret the solution.