Question

The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3w^2 + 5w. What's the simplified expression for the height of the prism

Answer 1

EDIT: The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism

Answer 2

is w width in your fexpression?

Answer 3

what is fexpression?

Answer 4

oh expression... duh

Answer 5

2w^3 + w^2 + 5w is the w stand for width?

Answer 6

sorry im tired... anyways yes the w stands for width

Answer 7

The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism
V=f(w)
2w^3 + w^2 + 5w
v=w^2*l
svl
l=v/w^2

V=w^2*(2*w+5)
2w^3 + w^2 + 5w=w^2*(2*w+5)

(2*w+5)= (2w^3 + w^2 + 5w)/w^2
w=5/4


I think

knowing that that w=5/4

find l :)

hope that helps

Answer 8

I think it might be

l=v/(5/4)^2

Answer 9

just replace h with l

Answer 10

the answer in my book says : w-1... do i still have to solve to get that?

Answer 11

I must have made a mistake somewhere :(

Answer 12

hm, well you helped me understand how to try and solve it a little more... thats for the help :) I'll try again to figure it out on my own

Answer 13

*thanks not thats haha

Answer 14

ah you know the fault was actully on me.... I got the question wrong... its 2w^3 + 7w^2 + 5w.... i forrgot the 7 -_- *facepalm*

Answer 15

i think in that case w=-5/2
seems wrong tho since it is a nagative :(

Answer 16

hmm... i dunno...

Answer 17

do you know what 2w^3 + 7w^2 + 5w would be simplified all by itself?

Answer 18

w (2 w + 5) (w + 1)

Answer 19

factor out

Answer 20

thanks :)

Answer 21

the answer shoule be 2 w + 5 or 5 +1

Answer 22

yeah... i dont know how my book got there answer but...

Answer 23

IDK maybe I need rest and try it in morning :P

Answer 24

haha yeah me up at an ungodly hour trying to do algebra is not a good mix