Answer:
D
Step-by-step explanation:
in the question the scale factor is 4 so that means it is a dilation (getting larger) because the scale factor is >1
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
When r is closest to 1, it is a strong positive correlation. When r is closest to -1 it is a strong negative correlation. When r is about 0.8 or anything similar, it is a weak positive. Similar to if r is -0.8 it would be a weak negative correlation. Hope this helps.
Answer:
<h2>D.
x ≈ 31.3°</h2>
Step-by-step explanation:
The triangle CBV is angled triangle with right angle at ∠VBC.
Since ∠VBC = (3x-4) °
To get the value of x, we will equate the angle ∠VBC to 90°
This results into (3x-4) ° = 90
Simplifying the resulting equation;
3x-4 = 90
Adding 4 to both sides;
3x-4+4 = 90+4
3x = 94
Dividing both sides by 3
3x/3 = 94/3
x = 31.33°
x ≈ 31.3°
Answer:
5/8
Step-by-step explanation:
The sectors are labeled 1,2,3,4,5,6,7,8
Numbers less than 4: 1,2,3
Multiples of 4: 4,8
We are looking for 1,2,3,4,8 = 5 choices
P (1,2,3,4,8) = Number of choices/ total
= 5/8
