Answer:
-2x + 8
Step-by-step explanation:
8 is y intercept. 2 units down and one to the right. -2/1 so -2
For this case we have the following system of equations:
![y = x ^ 2-6x + 12\\y = 2x-4](https://tex.z-dn.net/?f=y%20%3D%20x%20%5E%202-6x%20%2B%2012%5C%5Cy%20%3D%202x-4)
Equating the equations:
![x ^ 2-6x + 12 = 2x-4\\x ^ 2-6x-2x + 12 + 4 = 0\\x ^ 2-8x + 16 = 0](https://tex.z-dn.net/?f=x%20%5E%202-6x%20%2B%2012%20%3D%202x-4%5C%5Cx%20%5E%202-6x-2x%20%2B%2012%20%2B%204%20%3D%200%5C%5Cx%20%5E%202-8x%20%2B%2016%20%3D%200)
We look for two numbers that when multiplied, get 16, and when added together, get -8.
These numbers are -4 and -4.
![(x-4) (x-4) = 0\\(x-4) ^ 2 = 0](https://tex.z-dn.net/?f=%28x-4%29%20%28x-4%29%20%3D%200%5C%5C%28x-4%29%20%5E%202%20%3D%200)
So, the solution is![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
We look for the value of y:
![y = 2x-4\\y = 2 (4) -4\\y = 8-4\\y = 4](https://tex.z-dn.net/?f=y%20%3D%202x-4%5C%5Cy%20%3D%202%20%284%29%20-4%5C%5Cy%20%3D%208-4%5C%5Cy%20%3D%204)
Finally, the solution is:![(4,4)](https://tex.z-dn.net/?f=%284%2C4%29)
ANswer:
![(4,4)](https://tex.z-dn.net/?f=%284%2C4%29)
Answer:
Step-by-step explanation:
Since x=-4 plug in the -4 into the equation to find y,
-5(-4)-4y=16
20-4y=16 -20 -20 __________
-4y=-4
-4y/-4=-4/-4
___________
y=1
So now you found both x and y so plug in both now to check if both are correct.
-5(-4)-4(1)=16
20-4=16
16=16
So both y and x are correct.
Hope this helps!:)
Answer:
its 5 5+4=9
Step-by-step explanation: