6 tons to pounds is 12,000 pounds. So the elephant weighs 12,000 lbs.
Answer:
y = 4x + 9
Step-by-step explanation:
Given the linear equation, y = 2x + 14 where:
slope (m) = 2
y-intercept (b) = 14
Doubling the slope: 2 × 2 = 4
Reducing the y-intercept by 5: 14 - 5 = 9
Therefore, the new linear equation is:
y = 4x + 9
Answer:
False
Step-by-step explanation:
we know that
1 yard= 36 inches
To convert 360 inches to yards
Multiply
(360)*(1/36)=10 yards
therefore
You would use the ratio 1 yard over 36 inches
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
