The simplified answer is 0.25-3x
Answer:
Step-by-step explanation:
try to look it up on google
Answer:
The piecewise equation is given as :
Step-by-step explanation:
Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.
We are given that in the first three hours the rain fell at a constant rate of 25mm per hour
Amount of rainfall in 1 hour = 25
Amount of rainfall in t hours = 25x

The rain then slows down and remains constant
So, Amount of rain for that hour = 
75 mm ; 3
Now we are given that started again at a constant rate of 20 mm per hour for the next two hours.
Amount of rain after 4 hours = 
The rain increases at a rate of 20t from 4 ≤ x ≤ 6.
Hence the piecewise equation is given as :
Answer:
120 miles
Step-by-step explanation:
Formulate equations.
Distance = rate * time.
D1 = distance from home to airport
D2 = distance from airport to off
D1 + D2 = 150
30 x t1 + 60 x t2 = 150
Divide through by 30
t1 + 2t2 = 5 ----- equation 1
Entire trip took 3 hours
t1 + t2 = 3 -------------------- equation 2
Solve equation 1 and 2 and you get
t1 = 1 hour
t2 = 2 hour
D2 = t2 x speed = 2 x 60
= 120 miles.