Answer:
Yes, Rolle's theorem can be applied
There is only one value of c such that f'(c) = 0, and this is c = 1.5 (or 3/2 in fraction form)
Step-by-step explanation:
Yes, Rolle's theorem can be applied on this function because the function is continuous in the closed interval (it is a polynomial function) and differentiable in the open interval, and f(a) = f(b) given that:

Then there must be a c in the open interval for which f'(c) =0
In order to find "c", we derive the function and evaluate it at "c", making the derivative equal zero, to solve for c:

There is a unique answer for c, and that is c = 1.5
The answer is $630.57
You first need to add both the borrowed money and the interest then divide it all by 30
$16,000+$2,917.10= $18917.10
$18917.10/30= $630.57
Answer:
option b
reflection over the line y = x
Step-by-step explanation:
Matrix for every option is mention below
a)
rotation of 90° counter clockwise about the origin
0 -1
1 0
b)
rotation of 180° about the origin
-1 0
0 -1
c)
for a reflection in the line y=x
0 1
1 0
d)
translation 1 unit left and 1 unit up
1 0
0 1
Answer:
2y-2n-3a
Step-by-step explanation:
(7y-2n) - (5y+3a)
7y-2n-5y-3a
2y-2n-3a
Answer:
0
Step-by-step explanation:
Use the values of a
, b
, and c to find the discriminant.