Answer:
C
Step-by-step explanation:
The answer is C both the cube and rectangular prisms have 12 edges. We can tell the first two are wrong because both have 6 sides. We can tell the last one is wrong by counting. Both shapes have over 6 edges.
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
846^% and then to rond it is 850^%
Step-by-step explanation:
e radius of a 10” pizza is 5”. Using A= pi2, what is the area of the 10” pizza? (Round to the nearest tenth)
The derivative of a function like this is computed with the following formula:
![(e^{f(x)})' = e^{f(x)}\cdot f'(x)](https://tex.z-dn.net/?f=%20%28e%5E%7Bf%28x%29%7D%29%27%20%3D%20e%5E%7Bf%28x%29%7D%5Ccdot%20f%27%28x%29%20)
So, in your case, we have
![f'(x) = e^{x^2+17x} \cdot (2x+17)](https://tex.z-dn.net/?f=%20f%27%28x%29%20%3D%20e%5E%7Bx%5E2%2B17x%7D%20%5Ccdot%20%282x%2B17%29%20)
When you evaluate this at 0, you have
![f'(0) = e^0 \cdot 17 = 1\cdot 17=17](https://tex.z-dn.net/?f=%20f%27%280%29%20%3D%20e%5E0%20%5Ccdot%2017%20%3D%201%5Ccdot%2017%3D17%20)
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
![x^2+bx](https://tex.z-dn.net/?f=x%5E2%2Bbx)
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
![(b/2)^2](https://tex.z-dn.net/?f=%28b%2F2%29%5E2)
In the given equation, we have:
![(x^2-8x)-10](https://tex.z-dn.net/?f=%28x%5E2-8x%29-10)
The b term here is 8. Therefore:
![(8/2)^2\\=(4)^2\\=16](https://tex.z-dn.net/?f=%288%2F2%29%5E2%5C%5C%3D%284%29%5E2%5C%5C%3D16)
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
![(x^2-8x)-10\\=(x^2-8x+16)-10-16\\](https://tex.z-dn.net/?f=%28x%5E2-8x%29-10%5C%5C%3D%28x%5E2-8x%2B16%29-10-16%5C%5C)
The expression inside the parentheses is now a perfect square trinomial. Factor it:
![=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26](https://tex.z-dn.net/?f=%3D%28%28x%29%5E2-2%284%29%28x%29%2B%284%29%5E2%29-26%5C%5C%3D%28x-4%29%5E2-26)
And we are done!