Answer:
C
Step-by-step explanation:
5.1 + 2y + 1.2 = -2 + 2y + 8.3 ( subtract 2y on each side)
5.1 + 1.2 = -2 + 8.3 ( collect like terms)
6.3 = 6.3
If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
Answer:
D) ![\frac{4x-3} {x+6}](https://tex.z-dn.net/?f=%5Cfrac%7B4x-3%7D%20%7Bx%2B6%7D)
Step-by-step explanation:
First we have to factorize and then cancel the like terms.
Given,
![\frac{4x^2-7x+3} {x^{2}+5x-6}\\=\frac{4x^2-3x-4x+3} {x^{2}+6x-x-6}\\=\frac{x(4x-3)-1(4x-3)} {x(x+6)-1(x+6)}\\=\frac{(4x-3)(x-1)} {(x+6)(x-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E2-7x%2B3%7D%20%7Bx%5E%7B2%7D%2B5x-6%7D%5C%5C%3D%5Cfrac%7B4x%5E2-3x-4x%2B3%7D%20%7Bx%5E%7B2%7D%2B6x-x-6%7D%5C%5C%3D%5Cfrac%7Bx%284x-3%29-1%284x-3%29%7D%20%7Bx%28x%2B6%29-1%28x%2B6%29%7D%5C%5C%3D%5Cfrac%7B%284x-3%29%28x-1%29%7D%20%7B%28x%2B6%29%28x-1%29%7D)
Now, we got the like term (x-1).
Canceling this like term we get
![\frac{(4x-3)(x-1)} {(x+6)(x-1)}=\frac{4x-3} {x+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%284x-3%29%28x-1%29%7D%20%7B%28x%2B6%29%28x-1%29%7D%3D%5Cfrac%7B4x-3%7D%20%7Bx%2B6%7D)
![nP3=\frac{n!}{(n-3)!}](https://tex.z-dn.net/?f=nP3%3D%5Cfrac%7Bn%21%7D%7B%28n-3%29%21%7D)
![17(nP2)=17(\frac{n!}{(n-2)!})](https://tex.z-dn.net/?f=17%28nP2%29%3D17%28%5Cfrac%7Bn%21%7D%7B%28n-2%29%21%7D%29)
Therefore we can write the equation as follows:
![\frac{n!}{(n-3)!}=17(\frac{n!}{(n-2)!})](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7B%28n-3%29%21%7D%3D17%28%5Cfrac%7Bn%21%7D%7B%28n-2%29%21%7D%29)
Dividing both sides by n!, we get:
![\frac{1}{(n-3)!}=\frac{17}{(n-2)!}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28n-3%29%21%7D%3D%5Cfrac%7B17%7D%7B%28n-2%29%21%7D)
![\frac{(n-2)!}{(n-3)!}=17](https://tex.z-dn.net/?f=%5Cfrac%7B%28n-2%29%21%7D%7B%28n-3%29%21%7D%3D17)
Therefore n - 2 = 17 and n = 19
The answer is: n = 19
The value is
![0.1](https://tex.z-dn.net/?f=0.1)
or
![\frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20)
, since it is in the tenths place.