Answer:
F(x) = 45*x - (5/2)*x^2 + C
Step-by-step explanation:
Here we want to find the antiderivative of the function:
f(x) = 45 - 5*x
Remember the general rule that, for a given function:
g(x) = a*x^n
the antiderivative is:
G(x) = (a/(n + 1))*a*x^(n + 1) + C
where C is a constant.
Then for the case of f(x) we have:
F(x) = (45/1)*x^1 - (5/2)*x^2 + C
F(x) = 45*x - (5/2)*x^2 + C
Now if we derivate this, we get:
dF(x)/dx = 1*45*x^0 - 2*(5/2)*x
dF(x)/dx = 45 - 5*x
9514 1404 393
Answer:
x = 25
Step-by-step explanation:
The parallel lines divide the triangle sides proportionally.
x/40 = 15/24
x = 40(15/24) . . . . multiply by 40
x = 25
Answer:
3(3x^2−y)(16x^2−27y)
Step-by-step explanation:
I used a website to get the answer.
If you divide 1,200 and 40 it equals 30 then you take 250 subtract 30 the answer is 220
Answer: Choice D) Opposite sides of a parallelogram are congruent
Likely a typo has been made because A, B, C, and D aren't shown. I think your teacher meant to say PQ = RS and QR = PS
A parallelogram has properties that the opposite sides are parallel, and it can be proven that the opposite sides are congruent as well.