1. an open box is to be made from a rectangular piece of cardboard , 30 inches by 24 inches, by cutting equal square from the corners and turning up the side
a. write a function v(x) to using graphing technology. determine the domain and range of the function and of the problem situation. explain your reasoning.
b. represent the function v(x) using graphing technology. determine the domain and range of the function and of this problem situation. explain your reasoning.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.

t hope this

: