Find a polynomial expression in terms of x for the volume of the rectangular prism shown.

V = 6x³ - 21x² - 12x

Step-by-step explanation:

Volume of a Rectangular Prism: V = lwh

Step 1: Define

l = 3x

w = x - 4

h = 2x + 1

Step 2: Substitute

V = 3x(x - 4)(2x + 1)

Step 3: Expand

V = 3x(2x² - 7x - 4)

V = 6x³ - 21x² - 12x

the answer is here: : )

:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.