Arectangular prism with dimensions 3 by 4 by 8 has the same volume as a different rectangular prism with dimensions 4 by 4 by what?

let's recall that the volume of a rectangular prism is simply the product of its 3 dimensions.

so the volume for the first one is simply 3*4*8 = 96.

now, let's do some quick prime factoring of that 96

96 = 2*2*2*2*2*3

since we know the factors of 96, and we can rearrange them in any way we wish and will always have a product of 96, well, le'ts do some rearranging for the second prism.

the second prism has 4 and 4, namely 2*2 and 2*2, what's leftover? 2*3.

so the second prism must be (2*2) * (2*2) * (2*3), namely a 4x4x6.

no, x cannot be the same number. in all of them, x is 1. for one input there is another output. g is not a function

give brainliest

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is