Answer:
3.4166666666667
Step-by-step explanation:
Answer:
- f⁻¹(x) = 2x - 8
- f⁻¹(4) = 0
Step-by-step explanation:
You can find an inverse function by interchanging x and y, then solving for y.
Original function:
y = (1/2)x +4
With x and y interchanged:
x = (1/2)y +4
Subtracting 4 gives ...
x -4 = 1/2y
Multiplying by 2 gives ...
2x -8 = y
Then the inverse function is written ...
f⁻¹(x) = 2x - 8
Evaluating this for x=4, we get ...
f⁻¹(4) = 2·4 -8 = 0
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Answer:
We are given that a manufacturer sells a product as $2 per unit.
Quantity = q units
So, Total revenue =
Total revenue =
So, the total revenue function is
Marginal revenue is the derivative of the revenue functions
So, Marginal revenue =
The marginal revenue function is 2
The constant marginal revenue function mean that the revenue earned by the addition of the output is constant.
Solution:
Let x be the width of the strip.
Width of rug = 1111 - 2x
Length of rug = 1414 - 2x
Area of carpet = 8888
Area = Length * Width
8888 = (1414 - 2x) (1111 - 2x)
8888 = 1570954 - 2222x - 2828x + 4x²
4x² - 5050x + 1562066 = 0
2x² - 2525x + 781033 = 0
x = 720.5, 542
So, the value of x is 542.
Width of rug = 1111 - 2(542) = 27
Length of rug = 1414 - 2(542) = 330
Hence, the dimensions are 330, 27.