Answers:
x intercept is (-7.5, 0)
y intercept is (0, 5.5)
=========================
How to get these answers:
Simply look at where the graph crosses the x axis to determine the x intercept. This is directly halfway between the -8 and -7, so the line crosses through -7.5 on the x axis meaning that the x intercept is located at (-7.5, 0)
Similarly, the y intercept is (0, 5.5) as it crosses exactly halfway between the 5 and 6 on the y axis.
Any point is of the form (x,y)
The x intercept always has y = 0. The y intercept always has x = 0.
Answer:
10 (3 x - 1)
Step-by-step explanation:
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
To find the amount of miles/gallon, we have 540 miles/18 gallons=30 miles/gallon. As we add 30 miles for every gallon, the amount of miles traveled is 30*x (e.g. if x is 1 then 0+30=30 and if x is 2 then 30+30 (2 times)=60) with x being the amount of gallons. For b, we just plug 12 in for x to get 20*12=360
Answer:
Step-by-step explanation:
1. 2x - 9y = 23
2 x = 9 y + 23
y = (2 x)/9 - 23/9
2 x - 9 y - 23 = 0
2. 5x - 3y = -1
5 x + 1 = 3 y
y = (5 x)/3 + 1/3
5 x - 3 y + 1 = 0
I belive that should help you out a bit :D
