Answer:
C
Step-by-step explanation:
f(x)=72-4x
72-4x=0
4x=72
x=18
f(x)<=18
Answer:
Correct
Step-by-step explanation:
Answer:
area = 3
Step-by-step explanation:
area of a triangle = 1/2 base x height
1/2 x 3 x 2 = 1/2 x 6 = 3
Answer:
(3, 0).
Step-by-step explanation:
dentifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time.
Hence, The Answer is ( 3, 0)
Answer:
32.4
Step-by-step explanation:
prior + 8.1 = 40.5 . . . . . . seems to model the problem statement
prior = 32.4 . . . . . . . subtract 8.1 from both sides
Prior to the increase the percent was 32.4.
_____
<em>Comment on the problem statement</em>
When you're talking about a percentage increase in a percentage, it is almost never clear whether you're talking about the percentage of the underlying number, or the percentage of the percentage.
Here, we assume the 8.1 is a percentage of working students, not a percentage of the percentage of workings students. If you actually intend the latter, the percentage before the increase was about 37.465%.