Question 201166: Part 1:
Enter the dimensions of a rectangular box with a volume of 50x^3 - 3 - 2x + 75x^2.
____?
Part 2
A rectangular box has a volume of 50x^3 -3 - 2x- 75x^2. In order for such a box to actually exist, the numerical value of x must be greater than____?
(Use factorization from part 1 to solve.)
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Vol = 50x^3 -2x +75x^2 -3
.
looking for V = L * W * H
.
factor original eqn
.
2x(25x^2 -1) +3(25x^2-1)
.
(2x+3)( 25x^2 -1)
.
(2x+3) (5x+1)(5x-1),,,,,sides of box
.
2x+3 =0,,,,,x=-1.5
.
5x +1 = 0,,,,,x= -1/5
.
5x-1=0,,,,,,x= 1/5
.
Smallest zero is (-1.5),, therefore x> -1.5
|
|
|
