Answer:
<h2>D.
![\frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2B3x-12%20%7D%7B%28x-5%29%28x%2B3%29%28x%2B7%29%7D%20%5C%5C)
or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>
Step-by-step explanation:
Given the expression
, the dfference is expressed as follows;
Step1: First we need to factorize the denominator of each function.
![\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D-2x-15%20%7D%20-%20%5Cfrac%7B4%7D%7Bx%5E%7B2%7D%20%2B%202x%20-%2035%20%7D%5C%5C%3D%20%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D-5x%2B3x-15%20%7D%20-%20%5Cfrac%7B4%7D%7Bx%5E%7B2%7D%20%2B%207x-5x%20-%2035%20%7D%5C%5C%3D%20%5Cfrac%7Bx%7D%7Bx%28x-5%29%2B3%28x-5%29%20%7D%20-%20%5Cfrac%7B4%7D%7Bx%28%20x%2B%207%29x-5%28x%20%2B7%29%20%7D%5C%5C%3D%20%5Cfrac%7Bx%7D%7B%28x-5%29%28x%2B3%29%20%7D%20-%20%5Cfrac%7B4%7D%7B%28x-5%29%28x%20%2B7%29%20%7D%5C%5C%5C%5C)
Step 2: We will find the LCM of the resulting expression
![= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7Bx%7D%7B%28x-5%29%28x%2B3%29%20%7D%20-%20%5Cfrac%7B4%7D%7B%28x-5%29%28x%20%2B7%29%20%7D%5C%5C%3D%20%5Cfrac%7Bx%28x%2B7%29-4%28x%2B3%29%7D%7B%28x-5%29%28x%2B3%29%28x%2B7%29%7D%20%5C%5C%3D%20%5Cfrac%7Bx%5E%7B2%7D%2B7x-4x-12%20%7D%7B%28x-5%29%28x%2B3%29%28x%2B7%29%7D%20%5C%5C%3D%20%5Cfrac%7Bx%5E%7B2%7D%2B3x-12%20%7D%7B%28x-5%29%28x%2B3%29%28x%2B7%29%7D%20%5C%5C)
The final expression gives the difference
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺
This is the concept of geometry, the total sum of angles in a hexagon is given by:
(n-2)*180
=(6-2)*180
=720
the size of each interior angle will be:
120°
N/B
the exterior and interior angles are supplementary to each other.
Therefore the size of the exterior angle will be:
180-120
=60°
the answer is A
Your area is 37, hope this helps.
Answer:
see below
Step-by-step explanation:
9 dollars / 33 lbs = .272727 dollars per lb
.39 / 1 lbs = .39 per lb
The large bag is less expensive