Key Numbers of Inequality...2

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 30, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.7
    Question 10

    20210929_122734.jpg

    9x^3 - 25x^2 ≤ 0

    (x^2)(9x - 25) ≤ 0

    Set each factor to zero & solve for x.
    Replace ≤ with the equal sign.

    x^2 = 0

    sqrt{x^2} = sqrt{0}

    x = 0

    9x - 25 = 0

    9x = 25

    x = 25/9

    The key numbers are x = 0 and x = 25/9.

    You say?
     
    nycmathguy, Sep 30, 2021
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Oct 1, 2021
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  3. nycmathguy

    nycmathguy

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    I'm really cooking with gas now.
     
    nycmathguy, Oct 1, 2021
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  4. nycmathguy

    nycmathguy

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    nycmathguy, Oct 1, 2021
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  5. nycmathguy

    MathLover1

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    tired now, tomorrow
     
    MathLover1, Oct 1, 2021
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  6. nycmathguy

    nycmathguy

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    Ok. Remember, you are not obligated to answer all my questions in one day. Feel free to stretch your reply throughout the week. We are not rushing through precalculus. If you ever fell like taking a break from math, let me know.
     
    nycmathguy, Oct 1, 2021
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