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
frosja888 [35]
2 years ago
13

Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
8 0
<h3>Answer:  Choice A) 180</h3>

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

You might be interested in
HELP NEEDED PLEASE!
Setler [38]

Answer:

54

Step-by-step explanation:

\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)

4 0
3 years ago
Can you help me find the answer? i cant do it and i will get j<br>​
Tanya [424]

Answer:

a. 10

b. -4

Step-by-step explanation:

For these problems, since we are given the x, we plug it into the expression and solve.

a.

3(4)-2                  [multiply]

12-2                     [subtract]

10

-------------------------------------------------------------------------------------------------------

b.

5(-2)+6                [multiply]

-10+6                   [subtract]

-4

3 0
3 years ago
Read 2 more answers
Erick’s dog house has an area of 15 feet. What is the perimeter of the house
Inessa [10]
We can assume that Erick’s dog house has a perimeter of 3.75, but then again we don’t know the shape of the doghouse (rectangle, square, etc.). If the doghouse is a square,3.75 on each side (4 sides) because 3.75(4) equals to 15
7 0
3 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
Absolute value inequalities. 10-4|9y-10|&lt;-94
Ivahew [28]

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:y4\:\\ \:\mathrm{Decimal:}&\:y4\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{16}{9}\right)\cup \left(4,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

10-4\left|9y-10\right|

10-4\left|9y-10\right|-10

-4\left|9y-10\right|

\left(-4\left|9y-10\right|\right)\left(-1\right)>\left(-104\right)\left(-1\right)

4\left|9y-10\right|>104

\frac{4\left|9y-10\right|}{4}>\frac{104}{4}

\left|9y-10\right|>26

9y-1026

y4

5 0
3 years ago
Other questions:
  • What is the standard deviation of course he following data set round to nearest tenth 534,524, 539, 537, 522
    10·1 answer
  • What is 300 yards and 1 min to the unit rate
    14·1 answer
  • The coordinate grid shows the graph of four equations Which set of equations has (3, 1) as its solution?
    10·1 answer
  • Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x^2 + 48x + 2
    14·1 answer
  • What will be the Coordinates of point T after a 180 rotation about the origin​
    8·1 answer
  • What number is missing from the fact family?<br> 4<br> 6<br> 10<br> 16
    11·2 answers
  • Simplify the expression: <br> 6x ^ 2 + 7x - 3x ^ 2 - 2x
    12·1 answer
  • Kayden went to the store to buy some walnuts. The price per pound of the walnuts is
    5·2 answers
  • HELP!!I NEED IT RIGHT NOWWWW
    15·1 answer
  • Hassan is cooking some rice the recipe says he needs 450 grams of rice for 6 people.how many kilograms of rice would he need for
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!