At least they admitted this is algebra not geometry. You'll get the same question next year but they'll call it geometry.
The area is the product of the sides:
![A=(x-6)(3x^2-4x+6)](https://tex.z-dn.net/?f=A%3D%28x-6%29%283x%5E2-4x%2B6%29)
We just distribute and collect terms:
![A=x(3x^2-4x+6) - 6(3x^2-4x+6)](https://tex.z-dn.net/?f=A%3Dx%283x%5E2-4x%2B6%29%20-%206%283x%5E2-4x%2B6%29%20)
![A=3x^3-4x^2+6x - 18x^2 +24x -36](https://tex.z-dn.net/?f=A%3D3x%5E3-4x%5E2%2B6x%20-%2018x%5E2%20%2B24x%20-36)
![A=3x^3- 22x^2+30x-36](https://tex.z-dn.net/?f=A%3D3x%5E3-%2022x%5E2%2B30x-36)
Answer: 3rd choice
Answer:
NO SOLUTION
Step-by-step explanation:
Let's actually solve the system
x-4y=1
5x-20y=4
Let's eliminate y. To do this, multiply the first equation by -5, obtaining
-5x + 20y = -5
Now add this result to the second equation:
-5x + 20y = -5
5x - 20y = 4
--------------------
0 = -1
This result is never true. Thus, this system of linear equations has NO SOLUTION.