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anonymous

  • one year ago

Kitaer is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 2 hours. Kaitlyn can complete the project in 1 hours. Kitaer wants to know how long it will take them to complete the project together.

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  1. anonymous
    • one year ago
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    really confused on this?

  2. anonymous
    • one year ago
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    @jim_thompson5910

  3. jim_thompson5910
    • one year ago
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    x = time it takes for Cody to do the job alone y = time it takes for Kaitlyn to do the job alone z = time it take them to do the job together we're given x = 8 and y = 6. Solve for z \[\large \frac{1}{x}+\frac{1}{y}=\frac{1}{z}\] \[\large \frac{1}{8}+\frac{1}{6}=\frac{1}{z}\] \[\large \frac{3}{24}+\frac{4}{24}=\frac{1}{z}\] \[\large \frac{3+4}{24}=\frac{1}{z}\] I'll let you finish

  4. anonymous
    • one year ago
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    so 5/24?

  5. jim_thompson5910
    • one year ago
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    no

  6. anonymous
    • one year ago
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    ? Please explain

  7. jim_thompson5910
    • one year ago
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    \[\large \frac{3+4}{24}=\frac{1}{z}\] \[\large \frac{7}{24}=\frac{1}{z}\] cross multiply or take the reciprocal of both sides

  8. anonymous
    • one year ago
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    Oh! Okay :) Sorry, I didn't notice that

  9. anonymous
    • one year ago
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    so 7z=24

  10. anonymous
    • one year ago
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    yes?

  11. jim_thompson5910
    • one year ago
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    now fully isolate z

  12. anonymous
    • one year ago
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    so 24/7

  13. jim_thompson5910
    • one year ago
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    yep 24/7

  14. anonymous
    • one year ago
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    is that the answer?

  15. anonymous
    • one year ago
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    Can I ask another please?

  16. jim_thompson5910
    • one year ago
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    sure, go ahead

  17. anonymous
    • one year ago
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    Thanks :)

  18. jim_thompson5910
    • one year ago
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    what are some key features that you can think of? any at all?

  19. anonymous
    • one year ago
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    Maybe some degrees?

  20. jim_thompson5910
    • one year ago
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    you mean the degree of the polynomial?

  21. anonymous
    • one year ago
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    yes

  22. jim_thompson5910
    • one year ago
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    what does the degree tell us?

  23. anonymous
    • one year ago
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    how many answers it would have

  24. anonymous
    • one year ago
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    I mean roots

  25. jim_thompson5910
    • one year ago
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    close, the degree tells us the maximum number of roots, or x-intercepts, possible example: x^3 + 7x^2 + 9 has at most 3 roots. It could have 3 roots, or 2 roots, or just 1 root.

  26. anonymous
    • one year ago
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    I understand. :)

  27. jim_thompson5910
    • one year ago
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    the degree also tells us how many turning points there are number of turning points = (degree) - 1 example: degree = 3 means we have 2 turning points |dw:1437527865525:dw|

  28. jim_thompson5910
    • one year ago
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    also, a degree 3 polynomial has 3 branches |dw:1437527902361:dw|

  29. jim_thompson5910
    • one year ago
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    other key features: * y intercept * end behavior

  30. jim_thompson5910
    • one year ago
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    the end behavior is explained in these articles http://www.purplemath.com/modules/polyends.htm http://www.mathwords.com/e/end_behavior.htm

  31. anonymous
    • one year ago
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    Ok! Thank-you<3 So the answer would be

  32. anonymous
    • one year ago
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    basically we need degress, y-intercepts, and end behaviors

  33. jim_thompson5910
    • one year ago
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    knowing the degrees helps us determine how many roots max are possible it doesn't tell us the actual x-intercepts

  34. jim_thompson5910
    • one year ago
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    you have to set the polynomial equal to 0 and solve for x

  35. jim_thompson5910
    • one year ago
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    key features used to graph: x-intercepts y-intercept number of turning points (equal to degree - 1) end behavior also, a couple of other points doesn't hurt either

  36. anonymous
    • one year ago
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    Hahha :) Thanks !

  37. jim_thompson5910
    • one year ago
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    np

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