Answer:
Samantha's marginal cost of increasing output by 50 books per week is $5
Step-by-step explanation:
Marginal cost is given as change in cost divided by change in quantity produced
change in cost (weekly wage) = $250
change in quantity produced weekly = 50 books
Marginal cost = $250 ÷ 50 = $5
Her marginal cost is $5 per week
Answer:
B
Step-by-step explanation:
To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.
Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.
Now we are told to get the ratio of length of car to length of model.
This means 108:6 = 18:1
Answer:
The center is at (0,0)
The vertices are at ( (
±2 sqrt(2),0)
foci are (
±sqrt(5),0)
Step-by-step explanation:
3x^2 + 8y^2 = 24
Divide each side by 24
3x^2 /24 + 8y^2/24 = 24/24
x^2/8 + y^2 /3 = 1
The general equation of an ellipse is
(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1
a>b (h,k) is the center
the coordinates of the vertices are (
±a,0)
the coordinates of the foci are (
±c,0), where ^c2=a^2−b^
2
The center is at (0,0)
a = sqrt(8) = 2sqrt(2)
The vertices are at ( (
±2 sqrt(2),0)
c = 8 - 3 =5
foci are (
±sqrt(5),0)
(2,3) = (a,b)
(6,6) = (c,d)
D-B/C-A (To help remember, Dog Bites Cat's Arm)
6-3/6-2 = 3/4
Flip it
4/3 - the answer is c
Equation of required line is:

Step-by-step explanation:
First of all we will convert both equations in slope-intercept form

Subtracting 5x from both sides

Subtracting 9 from both sides

The y-intercept is -9.
Other equation is:

Adding 3x on both sides

Dividing both sides by 4

As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal

Slope-intercept form of line is:

Putting values of b and m

Keywords: Equation of line, Slope-intercept form
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