Answer:
B is the awnser
Step-by-step explanation:
1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
2. You have:
y=-0.18x²+4.4x-12
a=-0.18
b=4.4
3. You must apply the following formula:
<span>
x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22
4. When you susbtitute x=12.22 into the equation </span>y=-0.18x²+4.4x-12, you obtain:
y=-0.18x²+4.4x-12
y=-0.18(12.22)²<span>+4.4(12.22)-12
</span> y=14.88 feet
5. The answer is: The maximum height of the tunnel is <span>14.88 feet</span>
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
Answer:
32
Step-by-step explanation:
16*2=32
8*4=32
Hi mate
So u see the numbers on the cone the 7 and 9 it tells u that U have to round the nearest tenth and u have to find the answer. U answer is 64.0