Answer:
A) f'(c) = 3
Step-by-step explanation:
The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...
a < c < b
f'(c) = (f(b) -f(a))/(b -a)
__
We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...
f'(c) = (12 -(-3))/(4 -(-1)) = 15/5
f'(c) = 3 . . . . for some c in the interval -1 < c < 4
Answer:
-x^2+15x+2/x
Step-by-step explanation:
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= <em><u>401.92</u></em>
V of rectangular prism = 14 * 8 * 12
= <em><u>1344</u></em>
<em><u>Add = 401.92 + 1344</u></em>
<em><u> = 1,745.92</u></em>
<h2><em><u>
1,745.92 is the answer.</u></em></h2><h2><em><u>
Rounded the answer is C</u></em></h2>
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = 
pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = × 48 × 10 = 24 × 10 = 240 units²
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
