Answer:
333cm^2
Step-by-step explanation:
Divide the compound shape into the two separate parts, the rectangle and the triangle.
The rectangle measuring 18cm by 14cm, getting the area, use the formula length*width. This is 18*14= 252cm^2.
Then the triangle has the height, 9cm and base 18cm, finding the area use the formula, 1/2*base*height.
1/2*9*18= 81cm^2.
Add the two, 252+81= 333cm^2.
What we need to do is divide the total prize by the number of units, that is by 9:
we know this because 9 of those pieces, or 9p is equal to 54.90
so the right equation is <span>B. 9p= 54.90
(another possibility would be p=54.90/9)</span>
Answer:
.
Step-by-step explanation:
A parallelogram has two pairs of parallel lines so if AD // BC and that AD//BC, Then it is indeed a parallelogram
1) 7* 2* 3* i just know the first one sorry
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