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charlotteakina Group Title

Help!? PLEASE! Screenshot attached! 2 questions! 1 question answered! ONE TO GO!

  • one year ago
  • one year ago

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  1. Coolsector Group Title
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    5 people means 3.6 seconds so y people will be t seconds we can show it this way : |dw:1350566474324:dw|

    • one year ago
  2. Coolsector Group Title
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    now cross multiply and get the connection between y (number of people) and t (seconds)

    • one year ago
  3. Coolsector Group Title
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    and hey .. how are you ? :)

    • one year ago
  4. Decart Group Title
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    \[t=.72p\]

    • one year ago
  5. Coolsector Group Title
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    |dw:1350566721091:dw|

    • one year ago
  6. Coolsector Group Title
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    if you multiply one side by 100 you should multiply the other by 100 too

    • one year ago
  7. Coolsector Group Title
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    we need to isolate t from the equation that i gave you

    • one year ago
  8. Coolsector Group Title
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    no .. it's final answer is correct but i want you to be able to get it by yourself

    • one year ago
  9. Coolsector Group Title
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    there is no 75 in decart's answer :|

    • one year ago
  10. Coolsector Group Title
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    \[\frac{ 5 }{ y } = \frac{ 3.6 }{ t }\] multiply both sides by \[y \times t\] we get: \[5t = 3.6y\] now divide both sides of the equation by 5 we get: \[t = \frac{ 3.6 }{ 5 } \times y\] which is the same as \[t=0.72y\]

    • one year ago
  11. Coolsector Group Title
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    yes sorry i was washing dishes lol

    • one year ago
  12. Coolsector Group Title
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    division of two fractions is like multiplying the first by the reciprocal of the second

    • one year ago
  13. Coolsector Group Title
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    \[\frac{ a }{ b } \div \frac{ c }{ d } = \frac{ a }{ b } \times \frac{ d }{ c }\]

    • one year ago
  14. Coolsector Group Title
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    so you can rewrite the problem as .. ?

    • one year ago
  15. Coolsector Group Title
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    no i just gave an example

    • one year ago
  16. Coolsector Group Title
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    you have to multiply the first fraction by the reciprocal of the second..

    • one year ago
  17. Coolsector Group Title
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    |dw:1350568226013:dw|

    • one year ago
  18. Coolsector Group Title
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    yes .. and changed the division to multiplication this his how you divide two fractions..

    • one year ago
  19. Coolsector Group Title
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    \[\frac{ (x^2-x-6)(x^2+5x+4) }{ (x^2-2x-3)(x^2+x-12) }\]

    • one year ago
  20. Coolsector Group Title
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    this is now what you have to simplify "so, do I multiply x^2 + x - 12 by x^2 + 5x + 4 now? " no.. why you say that ?

    • one year ago
  21. Coolsector Group Title
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    \[\frac{ a }{ b } \neq a * b\]

    • one year ago
  22. Coolsector Group Title
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    we changed the division to multiplication because we divided FRACTION BY FRACTION

    • one year ago
  23. Coolsector Group Title
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    no it's not right

    • one year ago
  24. Coolsector Group Title
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    \[\frac{ 5 }{ 3 } * \frac{ 4 }{ 2 } = ?\]

    • one year ago
  25. Coolsector Group Title
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    solve this please

    • one year ago
  26. Coolsector Group Title
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    right you just multiplied 5 with 4 and divided by the multiplication of 3 with 2

    • one year ago
  27. Coolsector Group Title
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    |dw:1350569102823:dw|

    • one year ago
  28. Coolsector Group Title
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    so same here .. after we changed the division into multiplication it's just multiplication of two fractions

    • one year ago
  29. Coolsector Group Title
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    you tell me .. how do we multiply those two fractions ?

    • one year ago
  30. Coolsector Group Title
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    i wont get mad why would i :| look : \[\frac{ x^2-x-6 }{ x^2-2x-3 } \times \frac{ x^2+5x+4 }{ x^2+x-12 } = \frac{ (x^2-x-6)(x^2+5x+4) }{ (x^2-2x-3)(x^2+x-12) }\]

    • one year ago
  31. Coolsector Group Title
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    i dont know why you multiply numerator by denominator

    • one year ago
  32. Coolsector Group Title
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    this is what you get after the multiplication of the two fractions now we better factor every term than open the brackes like x^2-x-6 = x^2-3x+2x-6 = x(x-3)+2(x-3) = (x+2)(x-3)

    • one year ago
  33. Coolsector Group Title
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    yes look : whenever there is multiplication of two fractions you multiply numerator by numerator and denom by denom.. whenever there is division of two fractions you keep the first fraction as it is you change the division into multiplication but then for the second fraction you flip numerator and denominator and then you have multiplication of two fractions..

    • one year ago
  34. Coolsector Group Title
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    yes as i wrote up there

    • one year ago
  35. LCK Group Title
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    I'll just to butt in for a bit, the general flow of fraction division goes like this: 1. Turn the division into a multiplication by inverting the second fraction 2. Factorise as much as possible and eliminate common terms. 3. Solve by multiplying the numerator by the numerator and denominator by denominator. Yes I wrote the same thing as cool sorry :/.

    • one year ago
  36. Coolsector Group Title
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    now it's better to factor every term than open the brackets .. so factoring x^2-x-6 gives = x^2-3x+2x-6 = x(x-3)+2(x-3) = (x+2)(x-3)

    • one year ago
  37. Coolsector Group Title
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    can you factor the rest of the terms ?

    • one year ago
  38. Coolsector Group Title
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    yes.. i just showed the way

    • one year ago
  39. Coolsector Group Title
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    you see my last expression is (x+2)(x-3)

    • one year ago
  40. Coolsector Group Title
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    now factor the rest of the terms .. what do you get ?

    • one year ago
  41. Coolsector Group Title
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    so are you factoring the rest ?

    • one year ago
  42. Coolsector Group Title
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    good so how the expression looks like ?

    • one year ago
  43. Coolsector Group Title
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    after you change every term by it's factored form

    • one year ago
  44. Coolsector Group Title
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    you have to replace every term by it's factored from like replaceing " x^2 - x- 6" by " (x+2)(x-3) " in the last expression

    • one year ago
  45. Coolsector Group Title
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    very good

    • one year ago
  46. Coolsector Group Title
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    now you can eliminate some of them..

    • one year ago
  47. Coolsector Group Title
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    if you have the same thing in the numerator and in the denominator you can eliminate it ..

    • one year ago
  48. Coolsector Group Title
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    and one more ..

    • one year ago
  49. Coolsector Group Title
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    |dw:1350571449666:dw|

    • one year ago
  50. Coolsector Group Title
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    so what is left .. \[\frac{ x+2 }{ x-3 }\]

    • one year ago
  51. Coolsector Group Title
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    yes

    • one year ago
  52. Coolsector Group Title
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    yw :)

    • one year ago
  53. Coolsector Group Title
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    i hope the next question of this kind will be easier for you now that you know the steps

    • one year ago
  54. Coolsector Group Title
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    Im happy i could help you

    • one year ago
  55. Coolsector Group Title
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    :)

    • one year ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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