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Pavel [41]
3 years ago
6

Plz help with the first and second one❤️

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
The least common is c
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What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
atroni [7]
<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>

8 0
2 years ago
What best describes how to evaluate a variable expression?
Kaylis [27]
<span> To replace each letter with its value, and then finish it by doing the order of the operation/ solve it.</span>
7 0
3 years ago
The variable y varies directly with the variable x.
Tomtit [17]

Answer:

I believe it is 21

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-10/5+2(7-9)^2
Oksana_A [137]
Answer: -4

Reasoning: so first you need to subtract the 7 from the 9 to get -2. Then you square it to get 4 because a negative 2 times -2 is 4. Then you multiply the 4 by the 2 to get 8. You can simplify the -10/5 to -1/2 and multiply that by the 8 to get -8/2 which simplified out to -4.


I hope that helps.
8 0
3 years ago
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As she drove down the icy Road Miss Campbell slammed on her breaks her car did a 360 explain what happened to her car ​
meriva

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The friction that the car usually uses to stop(a rough and hard ground) was null and void, so the car spun uncontrollably.

3 0
3 years ago
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