For this case we must simplify the following expression:
![\frac {\frac {x + 7} {6- (x + 5)}} {x + 3}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Cfrac%20%7Bx%20%2B%207%7D%20%7B6-%20%28x%20%2B%205%29%7D%7D%20%7Bx%20%2B%203%7D)
We must apply double C:
![\frac {(x + 7) (x + 3)} {6- (x + 5)} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%28x%20%2B%207%29%20%28x%20%2B%203%29%7D%20%7B6-%20%28x%20%2B%205%29%7D%20%3D)
We apply distributive property in the numerator:
![\frac {x ^ 2 + 3x + 7x + 21} {6- (x + 5)} =\\\frac {x ^ 2 + 10x + 21} {6- (x + 5)} =](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%20%5E%202%20%2B%203x%20%2B%207x%20%2B%2021%7D%20%7B6-%20%28x%20%2B%205%29%7D%20%3D%5C%5C%5Cfrac%20%7Bx%20%5E%202%20%2B%2010x%20%2B%2021%7D%20%7B6-%20%28x%20%2B%205%29%7D%20%3D)
In the denominator we have by law of signs:
![- * + = -\\\frac {x ^ 2 + 10x + 21} {6-x-5} =](https://tex.z-dn.net/?f=-%20%2A%20%2B%20%3D%20-%5C%5C%5Cfrac%20%7Bx%20%5E%202%20%2B%2010x%20%2B%2021%7D%20%7B6-x-5%7D%20%3D)
Different signs are subtracted and the sign of the major is placed:
![\frac {x ^ 2 + 10x + 21} {- x + 1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%20%5E%202%20%2B%2010x%20%2B%2021%7D%20%7B-%20x%20%2B%201%7D)
ANswer:
![\frac {x ^ 2 + 10x + 21} {- x + 1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%20%5E%202%20%2B%2010x%20%2B%2021%7D%20%7B-%20x%20%2B%201%7D)
Answer:
81 is the answer
Step-by-step explanation:
Marked in the picture I sent
Answer:
0.7 1/3 0.8333 repeating yo no hablo espanol
Step-by-step explanation:
7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating
Given:
![5|x-3|+3>7](https://tex.z-dn.net/?f=5%7Cx-3%7C%2B3%3E7)
Aim:
We need to find the value of x.
Explanation:
Subtract 3 from both sides of the equation.
![5|x-3|+3-3>7-3](https://tex.z-dn.net/?f=5%7Cx-3%7C%2B3-3%3E7-3)
![5|x-3|>4](https://tex.z-dn.net/?f=5%7Cx-3%7C%3E4)
Divide both sides of the equation by 5.
![\frac{5}{5}|x-3|>\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B5%7D%7Cx-3%7C%3E%5Cfrac%7B4%7D%7B5%7D)
![|x-3|>\frac{4}{5}](https://tex.z-dn.net/?f=%7Cx-3%7C%3E%5Cfrac%7B4%7D%7B5%7D)
Square both sides.
![(x-3)^2>(\frac{4}{5})^2](https://tex.z-dn.net/?f=%28x-3%29%5E2%3E%28%5Cfrac%7B4%7D%7B5%7D%29%5E2)
![(x-3)^2>\frac{16}{25}](https://tex.z-dn.net/?f=%28x-3%29%5E2%3E%5Cfrac%7B16%7D%7B25%7D)
![x^2-6x+9>\frac{16}{25}](https://tex.z-dn.net/?f=x%5E2-6x%2B9%3E%5Cfrac%7B16%7D%7B25%7D)
multiply