Share
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
in progress
0
Mathematics
1 year
2021-08-31T15:18:53+00:00
2021-08-31T15:18:53+00:00 1 Answers
16 views
0
Answers ( )
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]