Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point 
such that
You have to solve for and get that
= 1.71828
Answer:
x ≤ 13/3
Step-by-step explanation:
4 - 3x ≥ -9
Isolate the variable, x. Treat the ≥ sign as an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 4 from both side:
4 (-4) - 3x ≥ -9 (-4)
-3x ≥ - 9 - 4
-3x ≥ -13
Next, divide -3 from both sides. Note that when you divide by a negative sign, you must flip the sign:
(-3x)/-3 ≥ (-13)/-3
x ≤ (-13)/(-3)
x ≤ 13/3
x ≤ 13/3 is your answer.
~
Answer:
x = 5.
Step-by-step explanation:
The break even point is when they are equal:
76x = 36x + 200
40x = 200
x = 200/40
x = 5.
By definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
Answer:
66.7333
Step-by-step explanation:
if 120 =80.08 what about 100
100×80.08÷120
=66.733
