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  1. f(x)=0 or 8 I'm honestly not sure which but I know one of these is right

    Step-by-step explanation:

    subtract x^2-2x from both sides -x^2+8x=0

    factor left side of the equation x(-x+8)=0

    set factors equal to zero

    x=0   or    x=-x+8=0

    x=0   or    x=8

    HOPE THIS HELPS!!! 🙂

  2. [tex]\displaystyle L=4x^{4}y^{8}z^{12}[/tex]

    Step-by-step explanation:

    The Volume of Rectangular Prism

    Given a rectangular prism of width W, height H, and length L, its volume is calculated as follows:

    V = WHL

    We are given the volume of a rectangular prism:

    [tex]V=72x^8y^{14}z^{22}[/tex]

    It's also known the width is:

    [tex]W=6x^3y[/tex]

    And height

    [tex]H=3xy^5z^{10}[/tex]

    Substituting in the formula, we solve for L:

    [tex]72x^8y^{14}z^{22}=(6x^3y)*(3xy^5z^{10})L[/tex]

    [tex]\displaystyle L=\frac{72x^8y^{14}z^{22}}{(6x^3y)*(3xy^5z^{10})}[/tex]

    Operating the denominator

    [tex]\displaystyle L=\frac{78x^8y^{14}z^{22}}{18x^4y^6z^{10}}[/tex]

    Dividing:

    [tex]\displaystyle L=4x^{8-4}y^{14-6}z^{22-10}[/tex]

    Simplifying:

    [tex]\boxed{\displaystyle L=4x^{4}y^{8}z^{12}}[/tex]

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