Answer:
<h3>
f(x) = x - 6</h3><h3>
g(x) = x - 5</h3>
Step-by-step explanation:
![\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-8x%2B12%7D%7Bx%5E2-7x%2B10%7D%5C%5C%5C%5Cx%5E2-7x%2B10%5Cne0%5C%20%5Ciff%5C%20x%3D%5Cfrac%7B7%5Cpm%5Csqrt%7B49-40%7D%7D%7B2%7D%5Cne0%5C%20%5Ciff%5C%20x%5Cne5%5C%20%5Cwedge%5C%20x%5Cne2%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bx%5E2-8x%2B12%7D%7Bx%5E2-7x%2B10%7D%3D%5Cdfrac%7Bx%5E2-2x-6x%2B12%7D%7Bx%5E2-2x-5x%2B10%7D%3D%5Cdfrac%7Bx%28x-2%29-6%28x-2%29%7D%7Bx%28x-2%29-5%28x-2%29%7D%3D%5C%5C%5C%5C%5C%5C%20%3D%5Cdfrac%7B%28x-2%29%28x-6%29%7D%7B%28x-2%29%28x-5%29%7D%3D%5Cdfrac%7Bx-6%7D%7Bx-5%7D%5C%5C%5C%5C%5C%5Cf%28x%29%3Dx-6%5C%5C%5C%5Cg%28x%29%3Dx-5)
Answer:
4x²
Step-by-step explanation:
Your equation is 4x² - 6x² + 7x² - 20x² + 19x².
Since they all have the same variable, simply combine them all to find your answer.
4x² - 6x² + 7x² - 20x² + 19x²
-2x² + 7x² - 20x² + 19x²
5x² - 20x² + 19x²
-15x² + 19x²
4x²
The amount of water that is needed to fill the pool is equal to the volume of the pool.
The pool is rectangular, with uniform depth so the volume of pool will be the product of its length , width and depth.
Thus,
Volume = 25 x 18 x 6 = 2700 ft³
This means, 2700 ft³ water is needed to fill the pool.
Answer:
1/2 mile
Step-by-step explanation:
(1/8)*4 = 1/2 mile
A.
This is because in each circle the lines increase by one, so from the triangle (3 lines) to the rectangle (4 lines) it only makes sense to put a pentagon (5 lines)