The cost is $3.75 per gallon. I think that the correct answer for your second question is .307 gallons per dollar.
Answer/Step-by-step explanation:
3. Function: NO
Justification: there will be more than one y-value/output related to one x-value/input.
4. Function: YES
Justification: There are exactly one y-value/output related to each input/x-value in the relation.
5. Function: YES
Justification: each x-value/input is mapped to exactly one y-value/output. No input value is mapped to more than one output value.
The regular rules of arithmetic apply to function values. Addition and multiplication are commutative, but subtraction and division are not.
The ring operator, signifying a function of a function, is not commutative, either. A simple example can illustrate this:
f(x) = 3
g(x) = x²
(f◦g)(x) = f(g(x)) = f(x²) = 3
(g◦f)(x) = g(f(x)) = g(3) = 3² = 9 . . . . . not equal to 3
The only appropriate choice for Question 19 is ...
A. (f+g)(x) = (g+f)(x)
Answer:
Step-by-step explanation:
Let x represent the distance travelled by the helicopter and the plane.
Let t represent the time it takes the the helicopter to travel x miles
Speed of the helicopter is 180 miles per hour.
Distance travelled = speed × time
x = 180t
Twenty minutes later, a plane leaves the airport and follows the helicopter at 330mi/hr. Converting 20 minutes to hours, it becomes 20/60 minutes
Time taken for the plane to travel x miles is t - 20/60
x = 330(t - 20/60)
Before the plane overtakes the helicopter, they would have travelled equal distance. Therefore
330(t - 20/60) = 180t
330t - 110 = 180t
330t - 180t = 110
150t = 110
t = 110/150 = 0.73 hours
Follow the formula given below.
P(Mar and Vacation) = P(vacation l march) x P(March)
So it was given above that 5% is the probability that it is March and someone's vacation.
0.05 = P(vacation l march) x ( 1/12)
1 0.05
P(vacation l march)= ------- x --------
12 1
P(vacation l march) = 0.6
So the answer is 60% probability that you will have a vacation given that the month is March.