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
stepan [7]
2 years ago
5

What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?

Mathematics
1 answer:
atroni [7]2 years ago
8 0
<h2>Answer-Average rate of change(A(x)) of f(x) over a interval [a,b] is given by:</h2><h2 /><h2>A(x) = \frac{f(b)-f(a)}{b-a}A(x)= </h2><h2>b−a</h2><h2>f(b)−f(a)</h2><h2> </h2><h2> </h2><h2 /><h2>Given the function:</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^xf(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>x</h2><h2> </h2><h2 /><h2>We have to find the average rate of change from x = 1 to x= 2</h2><h2 /><h2>At x = 1</h2><h2 /><h2>then;</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^1 = 5f(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>1</h2><h2> =5</h2><h2 /><h2>At x = 2</h2><h2 /><h2>then;</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^2=20 \cdot \frac{1}{16} = 1.25f(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>2</h2><h2> =20⋅ </h2><h2>16</h2><h2>1</h2><h2> </h2><h2> =1.25</h2><h2 /><h2>Substitute these in above formula we have;</h2><h2 /><h2>A(x) = \frac{f(2)-f(1)}{2-1}A(x)= </h2><h2>2−1</h2><h2>f(2)−f(1)</h2><h2> </h2><h2> </h2><h2 /><h2>⇒A(x) = \frac{1.25-5}{1}=-3.75A(x)= </h2><h2>1</h2><h2>1.25−5</h2><h2> </h2><h2> =−3.75</h2><h2 /><h2>therefore, average rate of change of the function f(x) from x = 1 to x = 2 is, -3.75</h2>

<h2>Please Mark me as brainlist. </h2>

You might be interested in
Classify the following triangle
s2008m [1.1K]

Answer:

B and C

Step-by-step explanation:

It has different angles and an obtuse angle.

Have a nice day!!!!!!!! :-)

<u>KA</u>

5 0
3 years ago
Please help with these two (I will report you if you try to give me a link to a virus)
Ganezh [65]
1- false a positive is greater than a negative so clearly there could be positive answers to the inequality. 2-true since the numbers and sign flipped it would still be the same
7 0
3 years ago
Read 2 more answers
Simplify<br> X2-49<br> Over <br> X2+9x+14
Stels [109]

Answer:

(x-7)/(x+2)

Step-by-step explanation:

(x-7)(x+7)/(x+7)(x+2)

(x-7)/(x+2)

7 0
3 years ago
The letter b represents a nonzero constant. Solve 2bx-bx= -8 for x?
zhuklara [117]

Answer:

x = -8/b

Step-by-step explanation:

2bx-bx= -8

bx = -8

Divide by b since b is nonzero

x = -8/b

3 0
2 years ago
In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

\frac{sin\alpha }{4} = \frac{sin90}{9.7}

Multiply 4 and sin90 and then divide the product by 9.7

Use sin^{-1} on calculator to convert the answer into degrees

5 0
3 years ago
Other questions:
  • Two car-rental agencies are competing for business. Mertz charges $35 a day and $0.15 per mile, and Mavis charges $20 a day and
    13·1 answer
  • Find the value of the expression.<br> what's the Value
    10·2 answers
  • ASsssapppp<br> This is a better picture from the question I posted earlier?
    10·1 answer
  • What’s the slope of y=-7x+5
    6·1 answer
  • Y= 1/2x+5<br> 2x + 3y = -6<br> Solution:
    11·1 answer
  • Fine each angle measure to the nearest degrees.<br> Sin W=0.7771
    6·1 answer
  • Please help, it's due today!!!
    7·1 answer
  • What is 65 divided by 1.5
    7·2 answers
  • leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long
    13·1 answer
  • Urgent! Brainliest to whoever solves it <br> Quadrilateral HGFJ is a rhombus
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!