Answer:
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Explanation:
The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.
Then, the profit is equal to
p(x) = f(x) - g(x)
p(x) = 24.96x - (0.04x² + 4x + 71)
p(x) = 24.96x - 0.04x² - 4x - 71
p(x) = -0.04x² + 20.96x - 71
Therefore, the answer is
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
4
Step-by-step explanation:
The area is 16, and you know that it's 2 sides u need to multiply
The perimeter is 16, and you know that you need to add up all the sides
So....
A = b * h
A = 4 * 4
A = 16 CORRECT
And....
P = S + S + S + S ( s = sides)
P = 4 + 4 + 4 + 4
P = 16 CORRECT
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The model to use here is y = k/x.
If g =18 when r = 4, then 18 = k/4. Solving for k, k = 72.
Then g = 72/r. If r = 6, g = 72/6 = 12 (answer)
The total area is 17.15cm cubed
