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  • one year ago

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  1. anonymous
    • one year ago
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    Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

  2. anonymous
    • one year ago
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    The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.

  3. anonymous
    • one year ago
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    help!!! please!!!!

  4. anonymous
    • one year ago
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    @ash2326 @Michele_Laino @pinkbubbles

  5. Michele_Laino
    • one year ago
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    a third-degree polynomial can have at maximum three zeroes

  6. Michele_Laino
    • one year ago
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    oops.. three real zeroes

  7. anonymous
    • one year ago
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    its that the answer?

  8. Michele_Laino
    • one year ago
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    for example, if we have the subsequent polynomial: \[\Large p\left( x \right) = {x^3} - 6{x^2} + 11x - 6\]

  9. Michele_Laino
    • one year ago
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    we can easily check that its factorization is: \[\Large p\left( x \right) = \left( {x - 1} \right)\left( {x - 2} \right)\left( {x - 3} \right)\]

  10. Michele_Laino
    • one year ago
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    which show us that there are at maximum three real zeroes

  11. Michele_Laino
    • one year ago
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    I think that your answer has to contain some examples

  12. anonymous
    • one year ago
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    someone give me the answer, you wanna check?

  13. Michele_Laino
    • one year ago
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    ok!

  14. anonymous
    • one year ago
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    Both Ray and Kelsey can both be right Ray is right because you can have 4 intercepts, three of them as zeros and one as a y intercept.

  15. anonymous
    • one year ago
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    its tha right?

  16. Michele_Laino
    • one year ago
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    an intercept is not a zero

  17. anonymous
    • one year ago
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    A)a third degree polynomial can have at most three x intercepts and always has one y intercept. So it can have 4 intercepts. And three zeroes . B) they are both correct because like what nightowl said about it being able to cross the x three time and the y once or depending where the exponents are either on x or y it can cross the y three times and the x once if you are looking for it crossing any and all axis (x and y) then they cross 4 times if a specific axis then it depends on the axis in shorter words the girl is only looking at one axis and the boy all

  18. Michele_Laino
    • one year ago
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    furthermore, the subsequent polynomial: \[\Large q\left( x \right) = {x^3} - x\] has three real zeroes and it has not an y-intercept

  19. anonymous
    • one year ago
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    LOOK its one of them?

  20. anonymous
    • one year ago
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    a, or b?

  21. Michele_Laino
    • one year ago
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    I think that A is the correct one

  22. Michele_Laino
    • one year ago
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    please wait

  23. anonymous
    • one year ago
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    ok

  24. Michele_Laino
    • one year ago
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    I think option B is right, since a third-degree polynomial has three x-intercepts at maximum and only one y-intercept, so 4 intercept in total. The x-intercepts are called the zeroes of the third-degree polybomial

  25. Michele_Laino
    • one year ago
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    polynomial*

  26. anonymous
    • one year ago
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    so the answers its b, thank you so much!!!!

  27. Michele_Laino
    • one year ago
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    :)

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