1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saul85 [17]
2 years ago
13

Find, if it exists, a value c in the interval [1, 4] such that the instantaneous rate of change of f(x) = 12

x.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle" class="latex-formula"> at c is the same as the average rate of change of f over the interval [1, 4]. (If an answer does not exist, enter DNE.)

Mathematics
2 answers:
Nina [5.8K]2 years ago
8 0

Answer:

C 25.5

Step-by-step explanation:

ella [17]2 years ago
5 0

Answer:

  c = 2.25

Step-by-step explanation:

f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.

The average slope is ...

  m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4

The point at which the derivative is 4 is ...

  f'(c) = 6/√c = 4

  √c = 6/4

  c = 2.25

You might be interested in
The question is below
katrin [286]

Answer:

Sadly, there is no question :(

Step-by-step explanation:

Repost it again with the question or image this time.

5 0
3 years ago
Read 2 more answers
For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
Contact [7]

The expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's  speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

\rm Distance = Speed \times Time

For the first part of the journey:

Distance = 80 miles

Time = \rm t_1

And Speed = s

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = \rm t_2

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}

Therefore,

Adding both the time to represent the total time of her trip in hours,

\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}

Hence, The required expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

For more details refer to the link given below.

brainly.com/question/21043759

6 0
2 years ago
Find the value of x. The diagram is not drawn to scale. (1 point)
faust18 [17]

I got 45 for this, not sure if it’s right. Hope that helps. :D

7 0
3 years ago
A electrician charges $45 per hour and spends $20 a day on gasoline.Write an algebraic expression to represent his earnings for
Sliva [168]
(45 X 24) - 20

hope this helps!
3 0
2 years ago
Read 2 more answers
Jordan needs one can of juice to make 24 servings of a punch. How many servings of punch can she make with 1/2 a can of juice?
kati45 [8]
Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.

x= # servings from 1/2 can


1/24= (1/2)/x
cross multiply

1 * x= 24 * 1/2

x= 24/2

x= 12 servings


ANSWER: She can make 12 servings from 1/2 can of juice.

Hope this helps! :)
3 0
3 years ago
Other questions:
  • I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I
    15·1 answer
  • What is 2 thirds y -2 fifths =5
    5·2 answers
  • Radius of square root of 5
    7·1 answer
  • Why is it so hard bvdvshdbdbm jdhsvs Havana Habsburg shahs hshsbs handshake hash’s bbsbs
    9·1 answer
  • PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse
    8·1 answer
  • A quantity decreases from 35 to 30 ? What is the percent change ?
    8·2 answers
  • Use the given probability of each event to find the probability of the complement
    9·2 answers
  • At an apple orchard, Margaret picked 19 1 2 pounds of apples. The cashier put the apples into 3 bags with the same weight. How m
    9·1 answer
  • Round 58800 to the nearest cent
    14·1 answer
  • This is a 30-60-90 triangle.<br> What is the measure of x?<br> 3.8<br> A<br> Х<br> x = 1.9V[?]
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!