Given
The demand function
To determine:
a) The revenue function.
b) The marginal revenue.
c) The marginal revenue when x=200.
d) The equation of tangent, and its derivation.
Explanation:
It is given that,
a) The revenue function is given by,
b) The marginal revenue function is,
c) The marginal revenue when x=200 is,
Hence, the marginal revenue is 3.84.
d) Let y=mx+c is the tangent.
Then,
That implies, for y=12.68, and x=200,
Hence, the equation of tangent is,
Answer: y = (x-2)/3
This is equivalent to y = (1/3)x - 2/3
=================================================
To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.
y = 3x+2
x = 3y + 2 ... x and y swapped
x-2 = 3y
3y = x-2
y = (x-2)/3
y = x/3 - 2/3
y = (1/3)x - 2/3
This final equation has slope 1/3 and y intercept -2/3
Answer:
Smaller Figure 3
Larger Figure 5
Scale factor = 15/25 = 3/5
<u>Answer:</u>
Swati - 465 , Matt - 289
<u>Explanation:</u>
Let Swati's score be x and Matt's score be y.
Since Swati won the game her score is obviously higher.
We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.
Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289
Thus Swati scored 465 points and Matt scored 289 points.
9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the same everywhere, so an equation can be written making use of that fact.
Cross-multiplying gives ...
2(y -5) = x -2
2y -10 = x -2 . . . eliminate parentheses
2y = x +8 . . . . . . . add 10; next, divide by 2
__
These equations match choices B and D.
