Answer:
in the numerator
in the denominator
Step-by-step explanation:
First fraction simplifies to:
![\frac{x^{2}+x-6}{x^{2}-6x+5}\\\frac{x^{2}-2x+3x-6}{x^{2}-x-5x+5}\\\frac{x(x-2)+3(x-2)}{x(x-1)+5(x-1)}\\\frac{(x+3)(x-2)}{(x-1)(x+5)}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2Bx-6%7D%7Bx%5E%7B2%7D-6x%2B5%7D%5C%5C%5Cfrac%7Bx%5E%7B2%7D-2x%2B3x-6%7D%7Bx%5E%7B2%7D-x-5x%2B5%7D%5C%5C%5Cfrac%7Bx%28x-2%29%2B3%28x-2%29%7D%7Bx%28x-1%29%2B5%28x-1%29%7D%5C%5C%5Cfrac%7B%28x%2B3%29%28x-2%29%7D%7B%28x-1%29%28x%2B5%29%7D%5C%5C)
Dividing my a fraction is the same as multiplying by the reciprocal, so the second fraction simplifies to:
![\frac{x^{2}-7x+10}{x^{2}+2x-3}\\\frac{x^{2}-2x+5x-10}{x^{2}-x+3x-3}\\\frac{x(x-2)+5(x-2)}{x(x-1)+3(x-1)}\\\frac{(x+5)(x-2)}{(x-1)(x+3)}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D-7x%2B10%7D%7Bx%5E%7B2%7D%2B2x-3%7D%5C%5C%5Cfrac%7Bx%5E%7B2%7D-2x%2B5x-10%7D%7Bx%5E%7B2%7D-x%2B3x-3%7D%5C%5C%5Cfrac%7Bx%28x-2%29%2B5%28x-2%29%7D%7Bx%28x-1%29%2B3%28x-1%29%7D%5C%5C%5Cfrac%7B%28x%2B5%29%28x-2%29%7D%7B%28x-1%29%28x%2B3%29%7D%5C%5C)
So the equation becomes:
![\frac{(x+3)(x-2)}{(x+5)(x-1)} * \frac{(x+5)(x-2)}{(x-1)(x+3)}\\](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B3%29%28x-2%29%7D%7B%28x%2B5%29%28x-1%29%7D%20%2A%20%5Cfrac%7B%28x%2B5%29%28x-2%29%7D%7B%28x-1%29%28x%2B3%29%7D%5C%5C)
The (x+3) and (x+5) terms cancel out, so what your left with is
![\frac{(x-2)^{2}}{(x-1)^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E%7B2%7D%7D%7B%28x-1%29%5E%7B2%7D%7D)
Expanding this term you get the answer:
in the numerator
in the denominator
Answer:
48 people
Step-by-step explanation:
1. 4/50 = x/600 do 4x600 and 50 times x
2.50x=2400
3. divide both sides by 50 to get a result of x=48.
(7/8) of an hour is 52.5 minutes.
If you are looking for half of that, it would be 26.25 minutes or 26 minutes and 15 seconds.
The correct option is answer C :)
Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
I hope I could be of help! Please give brainliest!