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anonymous

  • one year ago

Tristen and gorge are stuck simplifying radical expressions. Tristren has to simplify . William has to simplify . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Tristena dn George started with equivalent expressions or if they started with expressions that are not equal?

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  1. anonymous
    • one year ago
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    they are the same equations...

  2. anonymous
    • one year ago
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    @Michele_Laino

  3. Michele_Laino
    • one year ago
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    Vanessa will simplify as below: \[{x^{4/3 - 5/6}} = {x^{3/6}} = {x^{1/2}} = \sqrt x \]

  4. Michele_Laino
    • one year ago
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    William will simplify as below: \[\sqrt[{16}]{{{x^{1 + 3 + 4}}}} = \sqrt[{16}]{{{x^8}}} = {x^{8/16}} = {x^{1/2}} = \sqrt x \]

  5. anonymous
    • one year ago
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    for vanessesa isn't it saying to divide?

  6. Michele_Laino
    • one year ago
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    yes! infact I have computed the difference between exponents

  7. anonymous
    • one year ago
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    okay:)

  8. anonymous
    • one year ago
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    Can you help with this one?

  9. Michele_Laino
    • one year ago
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    ok!

  10. Michele_Laino
    • one year ago
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    let's suppose that the graph of f(x) is: |dw:1437512461162:dw|

  11. Michele_Laino
    • one year ago
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    namely f(0)=5

  12. anonymous
    • one year ago
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    Yes

  13. Michele_Laino
    • one year ago
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    here is the graph of f(x)+2: |dw:1437512550200:dw|

  14. anonymous
    • one year ago
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    I see

  15. Michele_Laino
    • one year ago
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    here is the graph of -2*f(x): |dw:1437512657609:dw|

  16. Michele_Laino
    • one year ago
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    namely if g(x)=-2*f(x), then: g(0)=-10

  17. anonymous
    • one year ago
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    @Michele_Laino so where would it be increasing

  18. Michele_Laino
    • one year ago
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    the y-intercept for f(x)+2 is greater than the y-intercept of f(x)

  19. Michele_Laino
    • one year ago
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    whereas the y-intercept of g(x)=-2*f(x), is less than the y-intercept of f(x), if the y-intercept of f(x) is positive, and viceversa if the y-intercept of f(x) is negative

  20. anonymous
    • one year ago
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    How did you get that answer?

  21. anonymous
    • one year ago
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    isn't it -1/2 times f(x)

  22. Michele_Laino
    • one year ago
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    for example if the y-intercept of f(x) is 5, as in my drawing, then the y-intercept of -2*f(x), is -2*5=-10<5

  23. Michele_Laino
    • one year ago
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    oh sorry, I have made an error, I have considered the function -2*f(x) I have to consider the function -0.5 * f(x). here is the right drawing: |dw:1437513335915:dw|

  24. Michele_Laino
    • one year ago
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    the y-intercept of g(x)=-0.5*f(x), is less than the y-intercept of f(x), if the y-intercept of f(x) is positive, and viceversa if the y-intercept of f(x) is negative

  25. Michele_Laino
    • one year ago
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    for example if the y-intercept of f(x) is 5, as in my drawing, then the y-intercept of -0.5*f(x), is -2.5 <5

  26. anonymous
    • one year ago
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    what about where the graphs are increasing/decreasing. I mean the points

  27. Michele_Laino
    • one year ago
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    whereas if the y-intercept of f(x) is -7, then the y-intercept of -0.5*f(x), is: -0.5*(-7)=3.5 > -7

  28. Michele_Laino
    • one year ago
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    as you can see from m,y last drawing, if f(x) increases also f(x)+2 increases, whereas if f(x) increases, then g(x)=-0.5*f(x) decreases

  29. Michele_Laino
    • one year ago
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    oops..from my* last drawing...

  30. anonymous
    • one year ago
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    okay hahah! I see

  31. Michele_Laino
    • one year ago
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    I'm very sorry, it is 23:21 from me (Italy time zone) and I have to go to sleep

  32. anonymous
    • one year ago
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    Aww :( OK! I'll see if I can find someone else. Byeee<3

  33. anonymous
    • one year ago
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    Thanks so much!!!!

  34. Michele_Laino
    • one year ago
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    bye :) :)

  35. Michele_Laino
    • one year ago
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    thanks! :) :)

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