Answer:
Step-by-step explanation:
P(x) = R(x) - C(x)
Where,
P(x) = Total profit
R(x) = Total revenue
C(x) = Total cost
R(x)equals150.97 x minus 0.3 x squared
R(x) = 150.97x - 0.3x^2
Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
C(x) = 4529.10 + 0.5x^2
P(x) = R(x) - C(x)
= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)
= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2
= 150.97x - 0.8x^2 - 4529.10
P(x) = -0.8x^2 + 150.97x - 4529.10
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
The answer 25 hope it helps
Answer:
.85 times the cost to make the shirt
Step-by-step explanation:
Let x represent cost to make the shirt.
Today, the shirt is in a 15 percent discount from its normal price.
Discount = 15/100 * x = 0.15x
Current cost = Original cost - discount
Current cost = x - 0.15x = 0.85x
The answer is;
.85 times the cost to make the shirt
