Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kerstie Group Title

The volume in cubic feet of a box can be expressed as V(x)=x^3-5x^2+6x or as the product of three linear factors with integer coefficients. The width of the box is 2 – x. a. Factor the polynomial to find linear expressions for the height and the width. b. Graph the function. Find the x-intercepts. What do they represent? c. Describe a realistic domain for the function. d. Find the maximum volume of the box.

  • one year ago
  • one year ago

  • This Question is Closed
  1. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know how to factorize a polynomial?

    • one year ago
  2. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • one year ago
  3. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    for the height

    • one year ago
  4. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ? 2 + -1x for the width

    • one year ago
  5. eseidl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Your addition signs are redundant. Just write:\[V(x)=x(2-x)(3-x)\]

    • one year ago
  6. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok for the height

    • one year ago
  7. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and the width 2-1x

    • one year ago
  8. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and the width 2-1x

    • one year ago
  9. eseidl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    You know 2-x is the width. Now the length is either x or 3-x. Which one makes sense? Can we decide this with the information we are given

    • one year ago
  10. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    x

    • one year ago
  11. kerstie Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    dont I just need to find the height and width

    • one year ago
  12. eseidl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't see a way to determine this. We can pick 3-x as the length, making x the height. Or we could call 3-x the height and then x is the length. It is arbitrary which one we assign to each dimension since the volume comes out the same regardless of the labels we choose.

    • one year ago
  13. eseidl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I have to head work...good luck!

    • one year ago
  14. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is this calculus or pre calc?

    • one year ago
  15. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    factors as \[x(x-3)(x-2)\] no need for the minus sign. reasonable domain would be something like \(0<x<2\) because these are lengths and you can't have a negative length

    • one year ago
  16. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    to graph, i would use this http://www.wolframalpha.com/input/?i=x^3-5x^2%2B6x+domain+0..2

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.