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

Respuesta :

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]

Answer:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

  • 3x – 260
  • 3x + 140
  • 5x – 260 <<<CORRECT
  • 5x + 140

Step-by-step explanation:

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