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  • College Algebra and functions

    Does anyone know this real well? If so can you work this problem for me?

    Find the Height of the rectangular Solid if the volume is 80x cubic units.

    Length = x+5
    Width = 2x+4
    Height = x

    I got 3 as my answer anyone get anything else
    1998 Red T-top V6 Camaro
    - K&N Filter, Pacesetter Headders, MagnaFlow 2.5" Hi-Flo Cat, FlowMaster 80 Series, PowerDyne Supercharger@9Psi More 2 Come

  • #2
    Re: College Algebra and functions

    Dude.. you lost me at... Length = x+5
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    • #3
      Re: College Algebra and functions

      that's what I got

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      • #4
        Re: College Algebra and functions

        that double checks :
        volume = 80x = 80*3 = 240

        Length = x+5 = 3 +5 = 8
        Width = 2x+4 = 2*3 + 4 = 10
        Height = x = 3
        Volume = Length * Width * Height = 8*10*3 = 240

        I think you have the right answer!

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        • #5
          Re: College Algebra and functions

          Originally posted by RyanAndyBob
          Does anyone know this real well? If so can you work this problem for me?

          Find the Height of the rectangular Solid if the volume is 80x cubic units.

          Length = x+5
          Width = 2x+4
          Height = x

          I got 3 as my answer anyone get anything else
          Well L*W*H = vol.
          (X+5)*(2X+4)*(X)=80X 1X drops out.
          (X+5)*(2X+4)=80 Multiply it out.
          2X^2+14X+20=80 Set right side to 0 (move the 80 over)
          2X^2+14X-60=0 Solve the quadratic.
          X=3 or -10.
          The -10 is avoided because you aren't in real math yet! :D
          1997 Chevrolet Camaro v6 - 13.8@104MPH
          1997 Dodge Viper GTS

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          • #6
            Re: College Algebra and functions

            No the -10 is avoided because you cant measure a Rectangular solid in negatives.....trust me I took honors Calculus in high school, I just haven’t done n e thing like this since the 7th grade:tup: thanks guys
            1998 Red T-top V6 Camaro
            - K&N Filter, Pacesetter Headders, MagnaFlow 2.5" Hi-Flo Cat, FlowMaster 80 Series, PowerDyne Supercharger@9Psi More 2 Come

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            • #7
              Re: College Algebra and functions

              nice job AZ3.8Camaro!
              maybe showing this step solving the quadratic equation might help someone better understand :

              2X^2+14X-60=0 resolves to
              ...
              (2X-6)(X+10)=0 resolves to
              2X-6=0 and/or X+10=0 resolves to
              2X=6 and/or X=-10 resolves to
              X=3 and/or X=-10
              ...
              then
              X=3 or -10.

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              • #8
                Re: College Algebra and functions

                I remember those days... so much easier imo than calculus
                Welcome future UK stars... Darius Miller, Deandre Liggins, Kevin Galloway, Josh Harrellson

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                • #9
                  Re: College Algebra and functions

                  yea its simple, i just hadnt done it in a while, try this one

                  6(x/x+1)+5(x/x+1)-6=0
                  1998 Red T-top V6 Camaro
                  - K&N Filter, Pacesetter Headders, MagnaFlow 2.5" Hi-Flo Cat, FlowMaster 80 Series, PowerDyne Supercharger@9Psi More 2 Come

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                  • #10
                    Re: College Algebra and functions

                    if x/x = 1 (which it does, right?)
                    then that equation doesn't work because
                    6(1+1) + 5(1+1) - 6 doesn't = 0
                    it = 16 ???

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                    • #11
                      Re: College Algebra and functions

                      Originally posted by RyanAndyBob
                      yea its simple, i just hadnt done it in a while, try this one

                      6(x/x+1)+5(x/x+1)-6=0
                      Let y=(x/x+1) then substitute...
                      6y+5y-6=0 solve it
                      11y=6
                      y=6/11

                      Then back substitute...
                      x/(x+1)=6/11 then cross multiply
                      11x=6(x+1)
                      11x=6x+6
                      5x=6
                      x=6/5. (1.2 check it).

                      Whammy.

                      I ain't going to do all your homework kid...
                      Last edited by AZ3.8Camaro; 09-13-2007, 02:35 PM.
                      1997 Chevrolet Camaro v6 - 13.8@104MPH
                      1997 Dodge Viper GTS

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                      • #12
                        Re: College Algebra and functions

                        Originally posted by RyanAndyBob
                        No the -10 is avoided because you cant measure a Rectangular solid in negatives.....trust me I took honors Calculus in high school, I just haven’t done n e thing like this since the 7th grade:tup: thanks guys
                        You cannot have a negative solid, but you can have negative coordinates defining a positive area.
                        Say in 3 space you defined a traditional x, y positive and negatives. Z positive would coming out of the page at you.
                        A negative volume would just be a cube going into the page.
                        It still works out....
                        The volume isn't REALLY negative, just in the "negative" as we definte it direction.
                        If you use the negative 10..
                        80*-10=-800
                        L=x+5 (-5)
                        W=2x+4 (-16)
                        H=-10

                        Vol = -800


                        Man am I glad I graduated and don't have to take these classes anymore. But I like to keep the brain sharp!
                        1997 Chevrolet Camaro v6 - 13.8@104MPH
                        1997 Dodge Viper GTS

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                        • #13
                          Re: College Algebra and functions

                          Originally posted by AZ3.8Camaro
                          x=6/5
                          right on the money again AZ3.8!
                          I misunderstood x/x+1...should have been written as x/(x+1) !

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                          • #14
                            Re: College Algebra and functions

                            Originally posted by 99v6bird
                            right on the money again AZ3.8!
                            I misunderstood x/x+1...should have been written as x/(x+1) !
                            I figured that is what happened.
                            1997 Chevrolet Camaro v6 - 13.8@104MPH
                            1997 Dodge Viper GTS

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                            • #15
                              Re: College Algebra and functions

                              dang i got X= 3/2 ans 2/3 but i did not put X back into the equation.
                              1998 Red T-top V6 Camaro
                              - K&N Filter, Pacesetter Headders, MagnaFlow 2.5" Hi-Flo Cat, FlowMaster 80 Series, PowerDyne Supercharger@9Psi More 2 Come

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