Answer:
6x-2y=13 is x=
solved for x
6x-2y=13 is y=
solved for y
2x+3y=-3 is x =
solved for x
2x +3y=-3 is y=
solved for y
Step-by-step explanation:
-7 is the y-intercept. 2 is the slope. Rise over run.
Step-by-step explanation:
By elimination method,
x+y=15
-x+y=5
------------
2y=20
i.e y=10
Now,
x+y=15
or, x+10=15
or, x=5
Answer:
13.2
Step-by-step explanation:
40 decreased by 33% = 26.8
Absolute change (actual difference):
26.8 - 40 = - 13.2
Answer:
![C(x) = \frac{x^4}{4}-3x^2+3,000](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cfrac%7Bx%5E4%7D%7B4%7D-3x%5E2%2B3%2C000)
Step-by-step explanation:
The marginal cost function, C'(x), is the derivate of the cost function, C(x).
Therefore, we can obtain the cost function by finding the integral of the marginal cost function:
![C(x) = \int\ {C'(x)} \, dx \\C(x) = \int\ {(x^3-6x)} \, dx \\C(x) = \frac{1}{4} x^4-3x^2+a](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cint%5C%20%7BC%27%28x%29%7D%20%5C%2C%20dx%20%5C%5CC%28x%29%20%3D%20%5Cint%5C%20%7B%28x%5E3-6x%29%7D%20%5C%2C%20dx%20%5C%5CC%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E4-3x%5E2%2Ba)
Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:
![C(x) = \frac{x^4}{4}-3x^2+3,000](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cfrac%7Bx%5E4%7D%7B4%7D-3x%5E2%2B3%2C000)