Step-by-step explanation:

value of x is 7
hope this answer helps you dear....take care!
Answer:
a. The critcal points are at

b. Then,
is a maximum and
is a minimum
c. The absolute minimum is at
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where

Therefore you have to solve this equation.

From that equation you can factor out
and you would get

And from that you would have
, so
.
And you would also have
.
You can factor that equation as 
Therefore
.
So the critcal points are at

b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

Then,
is a maximum and
is a minimum
c.
The absolute minimum is at
and the absolute maximum is at 
X is the domain and y is the range
Answer:
Correct option: C (it is missing the point)
0.53
Step-by-step explanation:
When a ball rolls one revolution, the distance travelled is the length of its circunference, that is:
Circunference = pi * diameter
So, to solve this question, we can use a rule of three:
1 revolution -> pi * d
60 revolutions -> 100 feet
100 = 60 * pi * d
d = 100 / (60 * pi) = 0.53 feet
Correct option: C (it is missing the point).
Answer:
y+5 = 3/4(x+8)
Step-by-step explanation:
The point slope form of the equation of a line is
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
The slope is 3/4 and the point is (-8,-5)
y - -5= 3/4( x - -8)
y+5 = 3/4(x+8)