If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140

Question

If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140

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Thiên Thanh 1 year 2021-08-31T15:18:53+00:00 1 Answers 16 views 0

Answers ( )

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    2021-08-31T15:20:02+00:00

    Answer:

    [tex]P =5x-260[/tex]

    Step-by-step explanation:

    Given

    [tex]R = 3x^2 + 4x – 60[/tex] — Revenue

    [tex]C = 3x^2 – x + 200[/tex] — Cost

    Required

    The expression for profit (P)

    This is calculated as:

    [tex]P =R – C[/tex]

    So, we have:

    [tex]P =3x^2 + 4x – 60 – (3x^2 -x+200)[/tex]

    Open bracket

    [tex]P =3x^2 + 4x – 60 – 3x^2 +x-200[/tex]

    Collect like terms

    [tex]P =3x^2 – 3x^2+ 4x +x- 60-200[/tex]

    [tex]P =5x-260[/tex]

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