Hello,
f(x)=x+8
g(x)=x²-6x-7
f(g(x))=f(x²-6x-7)=x²-6x-7+8=x²-6x+1
f(g(2))=2²-6*2+1=4-12+1=-8+1=-7
Answer A
The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.
<h3>For how many miles was the car driven?</h3>
It follows from the task content that the total amount paid was; $122.50.
Hence, after subtraction the constant charges, for the day and for gas, the remainder is;
$122.50 - $50 - $35
= $37.50.
Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15
= 2.5 miles.
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Average rate of change of the function: 
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is 
, so
So, the average rate of change in this interval is:
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Answer:
Step-by-step explanation:
n and d are the number of nickels and dimes, respectively.
"there are 20 coins"
n+d = 20
d = 20-n
"total value is $1.40"
0.05n + 0.10d = 1.40
0.05n + 0.10(20-n) = 1.40
-0.05n + 2 = 1.40
0.05n = 0.6
n = 12
d = 20-m = 8
Answer:
Step-by-step explanation:
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