Francisco had 4.5 l of orange juice for a party. he needed a total of 6 l for all of his guests, so he made 1.5 l more juice.
did francisco make a reasonable amount of juice for the party? need !
a.
yes, francisco made a reasonable amount because he made 1.5 l more so he had 6 l of juice (4.5 + 1.5 = 6).
b.
no, francisco did not make a reasonable amount because he needed a total of 10.5 l (4.5 + 6 = 10.5).
c.
no, francisco did not make a reasonable amount because he needed a total of 7.5 l of juice (6 + 1.5 = 7.5).

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?

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.)

Match the one-to-one functions with the graphs of their inverse functions.