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Tinascott

  • 3 years ago

A rectangular box is x feet long and x feet wide. The volume of the box is (4x8 + 3x6) cubic feet. What polynomial represents the height of the box in feet?

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  1. campbell_st
    • 3 years ago
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    well the base area is \[A= x^2 \] multiply length by width and \[V = 4x^8+ 3x^6\] take a factor of x^2 out ot the volume \[V =x^2(4x^6 + 3x^4)\] now compare it to the volume of a prism V = base area x height you know the base area is x^2 so you should be able to identify the height of the prism

  2. Tinascott
    • 3 years ago
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    is it = 4x + 3

  3. campbell_st
    • 3 years ago
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    V = base area x height you know the base area is x^2 \[V = x^2 \times (4x^6 + 3x^4)\] the height is the other factor... shown above

  4. Tinascott
    • 3 years ago
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    4x6 + 3x4 yes , thanks

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