Answer:
b = 9
Step-by-step explanation:
3(b − 6) = 9
3b - 18 = 9
3b = 9 + 18
3b = 27
b = 9
The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.
<h3>How to determine the true statement</h3>
The function of f(x) is represented as:
![f(x)=x^3-2x^2+4x-8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-2x%5E2%2B4x-8)
Differentiate the function f(x)
![f'(x)=3x^2-4x+4](https://tex.z-dn.net/?f=f%27%28x%29%3D3x%5E2-4x%2B4)
Calculate the minimum value using:
![x = -\frac b{2a}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%20b%7B2a%7D)
So, we have:
![x = -\frac {-4}{2*3}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%20%7B-4%7D%7B2%2A3%7D)
![x = \frac {2}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B2%7D%7B3%7D)
Substitute 2/3 in f'(x)
![f'(2/3)=3*(2/3)^2-4(2/3)+4](https://tex.z-dn.net/?f=f%27%282%2F3%29%3D3%2A%282%2F3%29%5E2-4%282%2F3%29%2B4)
![f'(2/3)=\frac 83](https://tex.z-dn.net/?f=f%27%282%2F3%29%3D%5Cfrac%2083)
The value of f'(2/3) is greater than 0.
This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)
Hence, the true statement is (b)
Read more about functions at:
brainly.com/question/13136492
The volume of the prism would be 21
The correct answer is y=1/8. Hope this helps.