Question

The length of a rectangular swimming pool is 20 feet. If the width and depth of the pool can be represented by the functions w= (x)/(2x-1) and D=(2x^2+5x+-3)/x(x+1) , respectively, what is the volume of the pool in simplest terms? (Volume = L*W*D).

Select one:
a. V = 80
b. V = (20x+60)/(x+1)
c. V = (20x+3)/x
d. V = (20x+60)/x

Answer 1

its not A

Answer 2

can you try to factor
2x^2+5x-3 ?

Answer 3

yes (x+3)(2x-1)

Answer 4

now volume is multiplication of those 3 terms
do you notice anything getting cancelled from numerator and denominator ?

Answer 5

yes x-1 and x+1

Answer 6

you mean 2x-1 and x+1 ?

Answer 7

yes

Answer 8

so what remains ?

Answer 9

the answer is 20x+60

Answer 10

the x+1 does not get cancelled,
it remains in the denominator :)

Answer 11

so its actually (20x+60)/(x+1)
:)