3/2 - x = -12
(multiply everything by 2 to get rid of fraction)
3-2x= -24
3+24 = 2x
3/2 + 12 = x
X = 2/3 + 5/6 + 4/6 + 5/6 = 9/6 = 3/2
He does not have enough material
<h3>How to determine if he has
enough material?</h3>
The given parameters are
Area = 75 square feet
Perimeter of material = 32 feet
Calculate the side length using
Length = Perimeter/4
So, we have
Length = 32/4
Evaluate
Length = 8
The area is
Area = 8^2
Evaluate
Area = 64
64 is less than 75
Hence, he does not have enough material
Read more about perimeters at
brainly.com/question/397857
#SPJ4
Answer:
The area between the two functions is approximately 1.333 units.
Step-by-step explanation:
If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

So the correct answer is C, the area between the two functions is 4/3 units.
Answer:
13 by 20 inches
Step-by-step explanation:
Represent the quantities as follows:
P = 2W + 2L
L = W + 7
Then P = 2W + 2(W + 7), or P = 4W + 14
and this formula has the value 66 inches.
Thus, P = 66 inches = 4W + 14 inches, or
52 inches = 4W
Dividing both sides by 4, we get W = 13 inches.
The width is 13 inches and the length is (13 + 7) inches, or 20 inches.