Answer:
The revenue function is given as
R(x) = 500x - 0.8x²
Step-by-step explanation:
Given the Price equation
P = 500 - 0.8x
and the Cost equation
C(x) = 4x + 6000
The revenue function is given as
R(x) = xP
But P = 500 - 0.8x
So
R(x) = x(500 - 0.8x)
= 500×x - 0.8x×x
= 500x - 0.8x²
R(x) = 500x - 0.8x²
Answer:
a) Right, Has 1 Right Angle
b) Acute, All Angles Are Less Than 90
c) Obtuse, Has One Angle Larger Than 90
Step-by-step explanation:
Function 1:
For the given table

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.
Function 2:
For the given function f(x)=-2x+3 you can create a table

and plot the graph (see second attached diagram).
Function 3:
For the given graph of the function, you can find the function:

Thus, the equation of the function 3 is 
The table will take a look

Answer:
27=3c-3(6-2c)
Open the brackets (multiply 6 and -2c by -3)
27=3c-18+6c
Add 3c and 6c
27=9c-18
Add 18 to both sides
45=9c
Divide by 9
c=5 (45/9)
now to check this just substitute c (5) into the equation
27=(3*5)-18+(6*5)
27=15-18+30
27=30-3
27=27
If 60% of the painters is 12, then 10% of the painters is 2, and therefore there are 20 painters.