Answer:
v is negative for every x, meaning the domain is all values in R, whatever goes under the squared sign will come out as positive and the left out -ve sign will make V negative for all x in R
range of f(x) is -inf to +inf
Step-by-step explanation:
the cubic power doesnt affect the sign
Answer:
Step-by-step explanation:
I hate you
Answer:
A. -12h² - 22h + 14
Step-by-step explanation:
(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc
= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)
= -12h² -28h +6h +14
= -12h² -22h +14 . . . . . . . . collect terms
So what you do is theres 12 months so multiple that by 15 and get 180 then what you do is what time 80 equals 180 and thats your answer
Answer:
see below
Step-by-step explanation:
![\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx%5E2-3x%2B2%7D%2B%20%5Cfrac%7Bx-2%7D%7Bx%5E2-5x%2B6%7D%20%2B%5Cfrac%7Bx-5%7D%7Bx%5E2-8x%2B15%7D)
we need to simplify that
![x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)](https://tex.z-dn.net/?f=x%5E2-3x%2B2%3D%28x-1%29%28x-2%29%5C%5C%5C%5Cx%5E2-5x%2B6%3D%28x-2%29%28x-3%29%5C%5C%5C%5Cx%5E2-8x%2B15%3D%28x-3%29%28x-5%29)
so we can continue
![\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7B%28x-1%29%28x-2%29%7D%3D%5Cfrac%7B1%7D%7Bx-2%7D%5C%5C%5C%5C%5Cfrac%7Bx-2%7D%7B%28x-2%29%28x-3%29%7D%20%3D%5Cfrac%7B1%7D%7Bx-3%7D%5C%5C%5C%5C%5Cfrac%7Bx-5%7D%7B%28x-3%29%28x-5%29%7D%20%3D%5Cfrac%7B1%7D%7Bx-3%7D)
and we can put all together
![\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-2%7D%2B%20%5Cfrac%7B1%7D%7Bx-3%7D%2B%20%5Cfrac%7B1%7D%7Bx-3%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx-2%7D%20%2B%5Cfrac%7B2%7D%7Bx-3%7D%5C%5C%5C%5C%5Cfrac%7Bx-3%7D%7B%28x-3%29%28x-2%29%7D%2B%20%5Cfrac%7B2%28x-2%29%7D%7B%28x-2%29%28x-3%29%7D%20%5C%5C%5C%5C%5Cfrac%7Bx-3%2B2x-4%7D%7B%28x-3%29%28x-2%29%7D%5C%5C%5C%5C%5Cfrac%7B3x-7%7D%7Bx%5E2-5x%2B6%7D)