Jake has a free weekend and decides to spend it binge watching television. He has up to 5 hours of free time to watch television, as is trying to figure out how to split up his time.
Each anime episode lasts 20 minutes, while each drama episode lasts 30 minutes.
a. Establish the variables and write an inequality that represents the given scenario.
b. Rewrite the inequality in slope-intercept form. Describe the steps you took.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)