Answer:
D
Step-by-step explanation:
The area of a rectangle is given by the formula:
So, we are given that the area is:
And the width is:
And we want to find the length. To do so, first substitute the expressions into the equation:
Thus, to find the length, divide by (x²+3):
So, factor the numerator:
From the first two terms, factor out a x^2.
From the third and fourth terms, factor out a 3:
Combine:
Putting this back:
Cancel:
And that's our answer :)
I believe it would be D.
Answer:
10/11
Step-by-step explanation:
Answer:
1. If my math was correct, 5
2. 60 outfits
Step-by-step explanation:
1. divide 500 by 100, then multiply times .4
2. You multiply 3 times 5 times 4
Answer:
8
Step-by-step explanation:
4x2=8
Answer:(- 1/2, 1/2)
(- 1, 2)
Step-by-step explanation:
The given system of equations is expressed as
y = 2x²- - - - - - - - - - - - - - -1
y = - 3x - 1- - - - - - - - - -- - - -2
We would apply the method of substitution by substituting equation 1 into equation 2. It becomes
2x² = - 3x - 1
2x² + 3x + 1 = 0
We would find two numbers such that their sum or difference is 3x and their product is 2x². The two numbers are 2x and x. Therefore,
2x² + 2x + x + 1 = 0
2x(x + 1) + 1(x + 1) = 0
2x + 1 = 0 or x + 1 = 0
x = - 1/2 or x = - 1
Substituting x = - 1/2 into equation 1, it becomes
y = 2(-1/2)² = 1/2
Substituting x = - 1 into equation 1, it becomes
y = 2(-1)² = 2