Answer:
-4(y - 2) = 12
Standard form:
−4y − 4 = 0
Factorization:
−4(y + 1) = 0
Solutions:
y = −4
4
= −1
Step-by-step explanation:
Answer:
![x^2-4x+3](https://tex.z-dn.net/?f=x%5E2-4x%2B3)
![63\ \text{sq. units}](https://tex.z-dn.net/?f=63%5C%20%5Ctext%7Bsq.%20units%7D)
Step-by-step explanation:
l = Length = ![\dfrac{x^2-x-6}{x-5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-x-6%7D%7Bx-5%7D)
w = Width = ![\dfrac{x^2-6x+5}{x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-6x%2B5%7D%7Bx%2B2%7D)
Area is given by
![A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3](https://tex.z-dn.net/?f=A%3Dlw%5C%5C%5CRightarrow%20A%3D%5Cdfrac%7Bx%5E2-x-6%7D%7Bx-5%7D%5Ctimes%5Cdfrac%7Bx%5E2-6x%2B5%7D%7Bx%2B2%7D%5C%5C%5CRightarrow%20A%3D%5Cdfrac%7Bx%5E2-3x%2B2x-6%7D%7Bx-5%7D%5Ctimes%5Cdfrac%7Bx%5E2-5x-1x%2B5%7D%7Bx%2B2%7D%5C%5C%5CRightarrow%20A%3D%5Cdfrac%7B%28x-3%29%28x%2B2%29%7D%7Bx-5%7D%5Ctimes%5Cdfrac%7B%28x-5%29%28x-1%29%7D%7Bx%2B2%7D%5C%5C%5CRightarrow%20A%3D%28x-3%29%28x-1%29%5C%5C%5CRightarrow%20A%3Dx%5E2-4x%2B3)
Area of the room is
.
If ![x=10](https://tex.z-dn.net/?f=x%3D10)
Area of the room
![A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}](https://tex.z-dn.net/?f=A%3Dx%5E2-4x%2B3%3D10%5E2-4%5Ctimes%2010%2B3%5C%5C%5CRightarrow%20A%3D63%5C%20%5Ctext%7Bsq.%20units%7D)
So, the amount of carpet needed would be
.
I think the answer would be B
Answer:
3x + 2y = 315 -----(1)
2x + 4y = 450 -----(2)
from (1) 3x + 2y = 315
2y = 315-3x
y = 157.5 - 3/2x ---- (3)
substitute (3) into (2)
2x + 4y = 450
2x + 4(157.5 - 3/2x ) = 450
2x + 630 - 6x = 450
-4x = -180
x = 45 ---- (4)
substitute (4) into (3)
y = 157.5 - 3/2x
y = 157.5 - 3/2(45)
y = 90
a haircut,x = 45 minutes
dye hair,y = 90 minutes
Hello from MrBillDoesMath!
Answer:
2x^3 + 4x^2 - 12x
<em />
Discussion:
2x(x^2+2x-6) =
2x * x^2 + 2x*2x - 6(2x) =
2x^3 + 4x^2 - 12x
Thank you,
MrB