If the volume of a box if found by calculating the product of its length, height and width, then which of the following statements below explain the volume of a box represented by function V(x) = x* (10 -
4x) and correctly interpreted V (2)?
A
Given the length, the height, and the width of the box, it was a perfect cube. V(x) is a cubic
function for volume of the box with sides measuring 2 units, where V(2) = 8.
B
Given the length of x, the height of 2x, and the width of 10 - 4x of the box, V(x) is a cubic
function for the volume of the box, where V (2) = 16.
C Given the length, the height, and the width of the box, 2 of the dimensions were the same. V(2)
is a cubic function for the volume of the box with 2 sides measuring 2 units, where V (2) = 8.

v(x)=x^3+2x^2-11x-12

Step-by-step explanation:

nothjing

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!