Given:
The function that represents how the amount of fuel changes as a function of distance flown is
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
Answer:
Right of -7 and left of -1
Step-by-step explanation:
-7 is in the left and -4 is in the right
-7<4
-4 in the left and -1 in the right
-4<-1
just use directions
Answer:
The Moon's diameter is greater than 
miles
Step-by-step explanation:
we know that
by proportion
Find the Moon's diameter
Let
x-----> the Moon's diameter in inches
Compare
therefore
The Moon's diameter is greater than miles
Work out the top subtraction first:
3/9 - 8/12
= 1/3 - 2/3
= 1/3
and the bottom part:-
3/8 * 2 = 6/8 = 3/4
so now we divide -1/3 by 3/4
= -1/3 * 4/3 = -4/9
Answer:
2/5.
Step-by-step explanation:
The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.
A total of 8.
So the probability of rolling a prime number is 8/20
= 2/5.
