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the costs of a company are represented by the function c(x)=0.22x+1,750. its revenues are represented by the function r(x)=4.1x. find the function that represents the company's profits.

p(x) =

P(x) = 3.88 x - 1750

Step-by-step explanation:

Profit is equal to revenue minus cost

P(x) = R(x) - C(x)

      = (4.1x) -(0.22x+1,750)

  Distribute the minus sign

    = 4.1 x - .22x -1750

      =3.88 x - 1750

m a t h w a y. c o m

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3