Will mark brainliest!

a company sells lanterns. the company's fixed and variable costs are modeled by the function c(x)=2.6x+1. their revenue is modeled by the function r(x)=3.2x. if x represents the number of lanterns, how many do they have to sell to break even? round your answer up to the nearest whole number, and do not include units.

16,667

Step-by-step explanation:

The company will "break even" when revenue is equal to cost.

R(x) = C(x)

3.2x = 2.6x + 10000 . . . . substitute the given expressions for R(x) and C(x)

0.6x = 10000 . . . . . . . . . . subtract 2.6x

x = 16,666 2/3 . . . . . . . . . divide by 0.6

The company must sell 16,667 lanterns to break even.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.