Volume of the vox: V(x)=x^3-6x^2+8x
V(x)=W(x) H(x) L(x)
Width: W(x)=x-2
Height: H(x)=?
Length: L(x)=?
Factoring the equation of Volume:
V(x)=x^3-6x^2+8x
Common factor x:
V(x)=x(x^3/x-6x^2/x+8x/x)
V(x)=x[x^(3-1)-6x^(2-1)+8]
V(x)=x(x^2-6x+8)
V(x)=x(x-2)(x-4)
V(x)= W(x) H(x) L(x)
We know that W(x)=x-2
Then we have two options for H(x) and L(x):
1) First option: L(x)=x and H(x)=x-4
or
2) Second option: L(x)=x-4 and H(x)=x
F(0)= 4
if you plug 0 in for the x -3 multiplied by 0 equals 0 plus 4 equals 4
2 (x - 3) = 2
2x - 6 = 2
2x = 2 + 6
2x = 8
x = 8 / 2
x = 4
So, your final answer is 4
Hope this helps!
Answer:
3.9
Step-by-step explanation:
It is rounded to 3.9 I think
