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Math Help - x intercepts

  1. #1
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    Smile x intercepts

    1. a vegetable garden with an area of 200 square ft is to be fertiliezed. If the lenght of the garden is 1 foot less than three times the width, find the dimension of the garden?





    2. Find the X-intercepts
    F(x)=X^2/18 + X/2 + 1


    Need this ASAP thanks so much
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  2. #2
    ixo
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    1. If A=lw and you know A=200ft then find what l and/or w are:
    "the length of the garden is 1 foot less than three times the width"
    l=(3w-1)
    so now you know A and L (in terms of w). Now you just combine the equation and solve for w using A=(l)w. Then you use the width you just found and solve for length and your done.


    2. Is the question:
    f(x)=\frac{x^2}{18} + \frac{x}{2} + 1

    Regardless of your current equation, X intercepts are when the function crosses the X axis which means y=0 at those points. Solve the equation accordingly.

    example find the x intercepts of
    f(x)=x^2 + 4 just solve for: x^2 + 4=0

    (x-2)(x+2)=0 which means that (x-2)=0 And (x+2)=0
    then solve the equations. So the x intercepts are x=2 bc when x=2 y=0 and x=-2 bc when x=-2 y also equals zero
    Last edited by ixo; February 24th 2009 at 08:35 PM.
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  3. #3
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    Quote Originally Posted by andru21 View Post
    1. a vegetable garden with an area of 200 square ft is to be fertiliezed. If the lenght of the garden is 1 foot less than three times the width, find the dimension of the garden?





    2. Find the X-intercepts
    F(x)=X^2/18 + X/2 + 1


    Need this ASAP thanks so much

    (1) Let length =L and width=W

    2L+2W=3W-1 -----------1
    LW=200 -----------2

    Solve the system .

    (2) X-intercepts only occur when y or f(x) = 0
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