Points of inflections are zeroes of the second derivative. We have:
![f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-6x%5E2%2B12x%5Cimplies%20f%27%28x%29%3D3x%5E2-12x%5Cimplies%20f%27%27%28x%29%3D6x-12)
So, the second derivative equals zero if and only if
![f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2](https://tex.z-dn.net/?f=f%27%27%28x%29%3D0%5Ciff%206x-12%3D0%20%5Ciff%206x%3D12%20%5Ciff%20x%3D2)
So, this is the only point of inflection of this function.
Answer:
42 feet
Step-by-step explanation:
if each inch equals 6 feet, and if her drawing is 7 inches long, then 7×6 would equal the auctual length of the boat, which is 42 feet.
2,3,4
1st way: 6*2oz=12oz
2nd way: 3*2oz+2*3oz=12oz
3rd way: 4*2oz+4oz=12oz
4th way: 2*2oz+2*4oz=12oz
5th way: 4*3oz=12oz
6th way: 2*3oz+2oz+4oz=12oz
7th way: 3*4oz=12oz
Stuart can combine 2oz, 3oz and 4oz weigths 7 different ways to get 12oz.
Answer:
This could be wrong, but i still wanted to help you.
Step-by-step explanation:
9-3x=y
+9 +9
3x=y
÷3 ÷3
x=y/3
Im sorry if this is wrong