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gregori [183]
3 years ago
7

Difference in the following polynomials (6x^3 - 2x^2 + 4) -(2x^3 + 4x^2 - 5)

Mathematics
1 answer:
Colt1911 [192]3 years ago
6 0

\bold{[ \ Answer \ ]}

\boxed{\bold{4x^3-6x^2+9}}

\bold{[ \ Explanation \ ]}

  • \bold{Find \ Difference: \ \left(6x^3\:-\:2x^2\:+\:4\right)-\left(2x^3\:+\:4x^2\:-\:5\right)}

\bold{-----------------------}

  • \bold{Remove \ Parenthesis}

\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}

  • \bold{Remove \ Parenthesis \ / \ Simplify}

\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}

  • \bold{Rewrite}

\bold{6x^3-2x^2+4-2x^3-4x^2+5}

  • \bold{[Simplify \ 6x^3-2x^2+4-2x^3-4x^2+5] \ 4x^3-6x^2+9}

\bold{4x^3-6x^2+9}

\boxed{\bold{[] \ Eclipsed \ []}}

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Answer:

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2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x        g(x)

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3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

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0.6         295.818                               899.58

0.8         294.432                               899.52

1            293.05                                 899.50

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1.4          290.298                              899.58

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The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

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Step-by-step explanation:

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