Answer:
Given: f(x) = x + 5
If this function changes to $8 per car then
The function: f(x) = x + 8
The concept of equation of straight line: y= mx + b
where b represents the y-intercept
In the equation above, the y-intercept changed from 5 to 8.
The graph will shift 3 units up
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
As a fraction, it would be 5 6/10. Then you multiply the denominator by the whole number 5x10 and add the numerator. So,
10X5+6=56
56/10
divide by 2
28/5 is the simplified version
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting 
represent the number of hot dogs and 
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
The Farley family bought 3 hot dogs and 4 juices for $9.15.
Now, we subtract these equations.
Since has reversed coefficients, it gets eliminated. Now solve for x.
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
= 1.65
= 1.05
represents hotdogs and represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
