Answer: The independent variable is what your are testing.
The dependent variable is your outcome is.
Step-by-step explanation:
(0, 15)
(10, 19.34)
m = (19.34 - 15) / (10 - 0) = .434
P(d) - .434d + 15
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
13 miles per gallon....13/1
now all u have to do is find an equivalent fraction.
26/2 = 13/1...they're equivalent...so ur answer is 26/2
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