The maximum mileage per gallon for the compact car is determined by taking the first derivative of the given equation and equate to zero. The differentiated form is m's = -0.05 s + 2.45 = 0; s is equal to 49 seconds. substituting this s, m is equal to 30.025 miles/gallon.
Answer:
f(x) = 2+5
g(x) = 2(-(x−3))+5
Step-by-step explanation:
If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2
So if y = 2|x−3|+5
then the two possibilities are
y = 2(x−3)+5 and
y = 2(-)+5
Set one of them equal to f(x) and the other one to g(x)
f(x) = 2(x−3)+5
g(x) = 2(-(x−3))+5
You can also write it as a piecewise function.

x <-3 includes the numbers-4, -5, -6..........
x> 5 includes the numbers 6, 7 , 8.....
here we have to find intersection of these two.
By intersection we mean the values of x that occur in both the sets,
here there is no number or value of x that occur in both the sets.
So answer is empty set
Answer:
6 3/8
Step-by-step explanation:
Convert the fractions so that the denominators match.
, then 

, then 
Add up the fractions.
