Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
R = rate
A = P(1-r)^t
A^t = P(1-r)
A^t/P = 1-r
(A^t/P)-1 = -r
r = -((A^t/P)-1)
The matching is given below.
- Doubling ⇒ 2
- Quadrupling ⇒ 4
- Tripling ⇒ 3
- Halving ⇒ 1/2
<h3>What is an exponent?</h3>
Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as
y = a(b)ˣ
You are asked to write exponential equations from word problems.
We know that factor 2 represents doubling, factor 4 represents quadrupling, factor 3 represents tripling, and factor 1/2 represents halving.
Then the matching is given below.
- Doubling ⇒ 2
- Quadrupling ⇒ 4
- Tripling ⇒ 3
- Halving ⇒ 1/2
More about the exponent link is given below.
brainly.com/question/5497425
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