<span>3 14/25 = </span>3.56 is your Answer
Answer:
the answer is 32
Step-by-step explanation:
Same as 3-2, or 1 Commutative property of addition
Answer:
(x – h)^2 + (y – k)^2 = r^2,
Step-by-step explanation:
(x - 0)^2 + (y +2)^2 = 3^2
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Answer:
![a=-11/12](https://tex.z-dn.net/?f=a%3D-11%2F12)
Step-by-step explanation:
We are given the function:
![h(x)=ax^3 + 11 x^ 2](https://tex.z-dn.net/?f=h%28x%29%3Dax%5E3%20%2B%2011%20x%5E%202)
And we want to determine a such that h(x) has an inflection point at x = 4.
Possible inflection points are whenever h''(x) equals 0. So, we will first differentiate h(x) twice. This yields:
![h'(x)=3ax^2+22x](https://tex.z-dn.net/?f=h%27%28x%29%3D3ax%5E2%2B22x)
So:
![h^{\prime\prime} (x)=6ax+22](https://tex.z-dn.net/?f=h%5E%7B%5Cprime%5Cprime%7D%20%28x%29%3D6ax%2B22)
Inflection points occur when h''(x) = 0. So:
![0=6ax+22](https://tex.z-dn.net/?f=0%3D6ax%2B22)
Since we have an inflection at x = 4:
![0=24a+22](https://tex.z-dn.net/?f=0%3D24a%2B22)
And solving for a yields:
![a=-22/24=-11/12](https://tex.z-dn.net/?f=a%3D-22%2F24%3D-11%2F12)