Take derivative..
f'(x) = 3*2*(x+4)
f'(x) is must be equal to 0.
6*(x+4)=0
x=-4
for x=-4; what is the y value?
for x=-4; f(x)=-5
the vertex is (-4,-5)<span />
9514 1404 393
Answer:
b = -0.0012a +211
208.36 °F at 2200 ft
Step-by-step explanation:
We are given two points:
(a, b) = (8100, 201.28) and (4300, 205.84)
The slope of the desired line can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (205.84 -201.28)/(4300 -8100) = 4.56/-3800 = -0.0012
The "y-intercept" of the function can be found from ...
y-intercept = b -ma
y-intercept = 201.28 -(-0.0012)(8100) = 211.00
So, the function of interest is ...
b = -0.0012a +211
__
At 2200 ft, the boiling point is ...
b = -0.0012×2200 +211 = -2.64 +211 = 208.36
The boiling point of the liquid at 2200 ft is 208.36 °F.
Answer: 2/3
Step-by-step explanation:
Step 1. identify the length of both bases
Step 2. Add the lengths of the bases
Step 3. Identify the height of the trapezoids
Step 4. Multiply the sum of the lengths of the bases by the height.
Step 5. Divide the results by two and then theres your answer.
