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
Ronch [10]
3 years ago
13

Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?

Mathematics
1 answer:
Fed [463]3 years ago
5 0

Average rate of change of the function: -\sqrt{3}

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where:

x_1, x_2 are the x-values of the interval taken into account to evaluate the rate of change of the function

f(x_1),f(x_2) are the values of the function at those points

In this problem, we have:

x_1=8\\x_2=64

The function is f(x)=-x\sqrt{3}, so

f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}

So, the average rate of change in this interval is:

r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}

Learn more about rates of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

You might be interested in
Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
horsena [70]

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

4 0
3 years ago
Read 2 more answers
What are the answers to these thank you and please tell me how to get it
mote1985 [20]
5-3(1/2x+2)=-7
-3(1/2x+2)=-7-5
(1/2x+2)=4
1/2x=2
x=4
just to give u an idea
4 0
3 years ago
Find two numbers, both smaller than 150, that have a lowest common multiple of 882 and a highest common factor of 21.
GenaCL600 [577]

Answer:

42 and 21

Step-by-step explanation:

Just divide 882  by  21   to get 42  

3 0
1 year ago
Cube and cube roots 27000<br>​
boyakko [2]

Answer:

lcm for cuberoot

2*2*2*5*5*5*3*3*3

for cuberoot we will make pairs of common three numbers and write them one time

2*5*3

30

check 30*30*30=27000

cube

multiply 27000 three times with itself

19683000000000.0 is the answer

6 0
3 years ago
Read 2 more answers
the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy mac
borishaifa [10]

Answer:

<h2><em>30page essay/min</em></h2>

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>

5 0
3 years ago
Other questions:
  • Pliz. help pliz pliz pliz
    8·1 answer
  • Aaron’s room has a perimeter of 96 feet. The length of the room is 23 feet. How wide is Aaron’s room?
    14·2 answers
  • in 2009 , first baseman matt craig of jacksonville suns southern league double-A baseball team had 24 hits in 80 times at bat .
    12·1 answer
  • Help, help me with this particular problem guys.
    15·1 answer
  • The moon was about 240,000 miles from earth. What is the distance written as a whole number by a power of ten?
    14·1 answer
  • Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two design
    5·1 answer
  • What is 2+2+2-2+4-8?
    14·2 answers
  • Which sides form a right triangle​
    12·1 answer
  • Given: ΔABC
    12·1 answer
  • a)use the triangle below to work out the exact value of tan 30 b) hence, or otherwise , give the full exact value of tan 210
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!