plsss help!!
Two friends Rohan and Sam started a business together. They decided to share their profit

based on their expenditure. The profit of the two partners together is given by the polynomial

6x

2 + 11x – 35, which is the product of their individual share factors.

On the basis of the above information, answer the following questions.

Q.11 The total profit, when x = 10 is

A 375 B 475 C 575 D 675

Q.12 The possible expressions for the individual share are

A 2x + 5, 3x - 7 B 3x – 5, 2x + 7 C 2x – 7, 3x + 5 D 2x – 5, 3x + 7

Q.13 The value of x, when their shares are equal is

A 12 B 10 C 8 D 6

Q.14 The sum of their shares is given by

A 5x - 2 B 5x + 2 C x - 2 D x + 12

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-01-18T15:31:10+01:00

Profit function is the difference between the revenue function, and the cost function

The polynomial that represents their share factor is given as:

[tex]P(x) = 6x^2 + 11 x - 35[/tex]

This means that we calculate P(10).

So, we have:

[tex]P(10) = 6(10)^2 + 11(10) - 35[/tex]

[tex]P(10) = 675[/tex]

Hence, the total profit when x = 10 is (d) 675

We have:

[tex]P(x) = 6x^2 + 11 x - 35[/tex]

Factorize the above expression

[tex]P(x) = (2x + 7)(3x - 5)[/tex]

Hence, the possible expressions for the individual shares are (b) 3x - 5 and 2x + 7

When their shares are equal, we have:

[tex]2x + 7 = 3x - 5[/tex]

Collect like terms

[tex]3x - 2x = 7 + 5[/tex]

[tex]x =12[/tex]

Hence, the value of x when their shares are equal is (a) 12

The sum of their shares is represented as:

[tex]Sum = 2x + 7 +3x - 5[/tex]

Collect like terms

[tex]Sum = 2x +3x + 7 - 5[/tex]

[tex]Sum = 5x+ 2[/tex]

Hence, the sum of their shares is (b) 5x + 2

Read more about profit functions at:

https://brainly.com/question/10009899