A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

PLEASE HELP! Simplify the rational expressions. State any excluded values. Screenshot included! Medal!

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441070374438:dw|

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the numerator 3x-6 can be factored 3 and 6 have the factor 3 in common, so we can factor out this common factor 3x-6 = 3(x-2) notice if you were to distribute the 3 back in, you'd get 3x-6

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441070429569:dw| at this point, I'm sure you see what to do next

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

    To be quite honest I've never done this math before

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

    cancel out the x's or something? I have no clue

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the `x-2` terms will divide to 1 recall that x/x = 1 in english: "any term, except 0, divided by itself will give you 1"

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441070578033:dw|

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441070595126:dw|

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

    okay I think I get it would you help me with the second one?

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441070758108:dw|

  12. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    are you able to factor \[\Large x^2+3x-10\] at all?

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh and I nearly forgot: for #8, the excluded value is x = 2. This value must be excluded to avoid dividing by zero

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

    wait what?

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

    so the answer is x = 2

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no I'm saying that x = 2 is kicked out because if x = 2, then the denominator x-2 turns to 0 (we can't divide by zero). This is all for #8

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\Large \frac{3x-6}{x-2}\] simplifies to 3 (as shown above in the drawings). The restriction is that \(\large x\ne 2\)

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    make sense?

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!

  20. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok onto #9

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441071205777:dw|

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no like I don't get how to do it?

  23. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    think of 2 numbers that multiply to -10 AND add to +3

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you showed me how to do it step by step 1.) 2.) 3.) I would know how to do it

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -2 * 5?

  26. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, -2*5 = -10 -2+5 = 3

  27. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since the two numbers are -2 and 5, this means x^2+3x-10 factors to (x-2)(x+5)

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x-2/-2*5=3?

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441071380260:dw|

  30. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    like in #8, the `x-2` terms divide to 1 and cancel out effectively |dw:1441071502600:dw|

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  32. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441071578172:dw|

  33. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so hopefully you see how \[\Large \frac{x-2}{x^2+3x-10} = \frac{1}{x+5}\] the restrictions are that \(\large x \ne 2\) or \(\large x \ne -5\) to avoid division by zero errors

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I get it a little now it will just take me more practice

  35. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    here's a page that offers more practice http://www.purplemath.com/modules/rtnldefs2.htm

  36. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.