For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Answer:
The average velocity the entire trip was 43.25 mi/h
Step-by-step explanation:
In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:
Now the percentages:
At 57 mi/h were 
At 44 mi/h were 
At 37.8 mi/h were 
Now multiplying the speed by the portion and summing them we can have the average velocity:
The average velocity the entire trip was 43.25 mi/h
1/6·30=5
so your answer is b)5
Answer:
$481.25
Step-by-step explanation:
The number of transactions is 175.
The fee per transaction is $2.75.
The total fees is calculated as:
Number of transactions × Fee per transaction
175 × $2.75
$481.25
Given that we Jenny wants to equivalent fraction of 45% then convert into reduced fraction and then convert into decimal equivalent.
She has already shown her work. We just need to find the error if any.
to convert any percent value we just divide that number by 100 because percent itself means divide by 100.
Hence first step 45%=45/100 is correct.
Then she needed to convert into reduced fraction. To do that she divided numerator and denominator both by 5 and got 9/20.
step 2 is also correct.
Now she needs to convert into decimal equivalent so she divided 9 by 20 and got 4.5 while the correct answer should be 0.45
Hence she did error when converting fraction form into decimal form.
