Answer: d. The domain would only include positive numbers.
Step-by-step explanation:
Given: A function is created to represent the miles per gallon your car gets.
Here, the independent variable = the amount of fuel the car gets in gallons.
and the dependent variable = the total miles of car travel .
We know that the domain of a function is a set of all values of independent variable.
Thus, the domain would only include positive numbers because the quantity of fuel in a car is never negative and it can be in fraction .
Hence, D is the right answer.
Answer:
I believe it is the second one false
Step-by-step explanation:
6y - 8 ≤ 10 Add 8 to both sides
6y ≤ 18 Divide both sides by 6
y ≤ 3
Y is less than or equal to 3.
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.