Nigel is riding on a roller coaster. One section of the track is in the shape of a parabolic curve, which can be modeled with the equation
f(x) = 0.13x2 - 5.8x + 75, where f(x) gives the roller coaster's height
above the ground in feet at a horizontal distance of x ft.
a. How high is the roller coaster at the beginning of this section?
b. What is the lowest height of the roller coaster?

Find the unit rate for: 75% high-fiber chimp food to 25% high -protein chimp food.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Evaluate each expression. determine if the final simplified form of the expression is positive or negative -42 (-4)2 42