Actually, the domain is the possible set of input values
of a function that will make the function fit the specific criteria. In this
case, the input value is m, where m is the number of miles that is travelled.
The criteria is to travel at least 10 miles but not more than 30 miles,
therefore the domain should be:
All real numbers from 10 to 30, inclusive
(should be real numbers not integer since any fractional
number is included in the domain)
I cannot figure out why the choices are far from the
answer.
Answer:
Step-by-step explanation:
One of the cars are blue. it can travel 31 1/2 miles on 1 1/4 gallons of gasoline. Converting 31 1/2 miles to decimal, it becomes 31.5 miles. Converting 1 1/4 gallons of gasoline to decimal, it becomes 1.25 gallons of gasoline.
Therefore, the miles per gallon for the blue car is
31.5/1.25 = 25.2 miles per gallon.
Another car is red it can travel 28 4/5 miles on 4/5 gallon of gasoline.
Converting 28 4/5 miles to decimal, it becomes 28.8 miles. Converting 4/5 gallons of gasoline to decimal, it becomes 0.8 gallons of gasoline.
Therefore, the miles per gallon for the red car is
28.8/0.8 = 36 miles per gallon.
5x + 10 = -4x - 17
+4x +4x
5x + 4x = 9x
9x + 10 = -17
-10 -10
-27
9x = -27 9x/9 = -27/9
x = -3