9 + 60 -42x
9+60 = 69
= 69- 42x
Non Residents:
f(x)= money in $ paid.
x=number of days.
f(x)=x(12+3.5)=15.5 x
f(x)=15.5x
Arkansas residents
f(x)=money in $ paid.
x=number of days.
f(X)=x+174
Now, we equate functions:
15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12
Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Y + 4/9 = 2/3
Let's convert 2/3 into 6/9 so it will be easier to subtract.
Y + 4/9 = 6/9
Subtract 4/9 on both sides.
Y = 2/9 Hope this helps!
