Answer:
Step-by-step explanation:
We want to evaluate:
This is the same as:
We integrate to obtain:
We evaluate to obtain:
I'm pretty sure it's -4x.
<u>Answer:
</u>
f(x) = 3(x+2)(x-2)
<u>Step-by-step explanation:
</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term 
is in the form 
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
Answer: 30/40, 25/40, 4/40
Step-by-step explanation: Using the Least Common Denominator, I looked at each multiple of each number to determine 40 as the least common denominator, and since we did 4 x 10 to get 40 in the first one, we do 3 x 10 in the first one as well making it 30/40. The second one we did 8 x 5 to get 40, making the numerator (top number) the product of 5 x 5 which is 25 making it 25/40. For the last one, I used 10 x 4 to get 40 meaning I would have to do 1 x 4 to get the numerator (top number) making it 4/40
