Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.

Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?

A. 18x + 24y ≤ 225
x + y ≥ 10

B. 24x + 18y ≥ 225
x + y ≤ 10

C. 18x + 24y ≥ 225
x + y ≤ 10

D. 24x + 18y ≤ 225
x + y ≥ 10

Which pair of lines is parallel? a. y=4x+1 and y+4=5 b. y=-2+x and 2y-2x=-2 c. y=1/4x + 2 and y-2=1/2x d. y=1/5x+1 and 5y+x= 10

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?

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)