Answer:
u waste ur points but m good
Step-by-step explanation:
<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>
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Answer:
Step-by-step explanation:The answer is C
So 10.4mi = 1 hour
We need to find out how many miles 1.2 hours is.
1.) Well, the first step would be to multiply 1.2 on both sides of:
10.4mi = 1 hour
because that would make this number of miles is = to 1.2 hours which is wha we're looking for
1.2(10.4) mi = 1.2 hour
2.) Simplify
12.48 mi = 1.2 hour
3.) That means Gina rides 12.48 miles each day if she rides for 1.2 hours each day at a pace of 10.4 miles per hour :)
The rate of change in temperature is −17°F/min
<h3>Rate of change of a function</h3>
The formula for calculating the rate of change of a function is expressed as:
Rate of change = rise/run
This is also known as the slope of the function
Given the following parameters
Temperature = −25.5°F
Cooling time = 1.5mins
Determine the rate of change
Rate = −25.5°F/1.5min
Rate = −17°F/min
Hence the rate of change in temperature is −17°F/min
Learn more on rate of change here: brainly.com/question/8728504
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