Challenge A hotel manager is adding a tile border around the hotel's rectangular pool. Let x represent the width of the pool, in feet. The length is
6 more than 2 times the width, as shown. Find two expressions that
represent the perimeter of the pool. Use the expressions to describe two
ways to find the perimeter.

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)