-2/3÷(-1/2)=6÷(-1/2)=2/3÷2 1/2=
1 answer:
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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:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t <
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.