A recipe for sparkling grape juice calls for 1/2 quarts of sparkling water and 3 quarts of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice? and how much grape juice would you need to mix with 15/4 quarts of sparkling water?

The function g(x) is defined as shown. x-1, -2 g(x) = 2x+3, -1 6-x, x23

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. write an equation to determine the total number of pages (p)(p) in the novel.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)