SOLUTION: Jessica pulled the plug in her bathtub and it started to drain at a rate of L=-5T sqared-8T+120 where L represents the number of litres of water in the bathtub and T represents the

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Question 186812: Jessica pulled the plug in her bathtub and it started to drain at a rate of L=-5T sqared-8T+120 where L represents the number of litres of water in the bathtub and T represents the number of minutes since the plug was pulled.
How long will it take for all of the water in the tub to drain out?
How many litres of water were in the tub originally?
my name is Chantal and I know how to find the vertex and the roots but I wasn't at school to learn these word problems. Can you help me?
The vertex is(-.8, 123.2)
The roots are -5.763869458 and 4.163869458
This is not in a text book

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Jessica pulled the plug in her bathtub and it started to drain at a rate of L=-5T sqared-8T+120 where L represents the number of litres of water in the bathtub and T represents the number of minutes since the plug was pulled.
How long will it take for all of the water in the tub to drain out?
That's at L = 0, which is the positive root you listed below,
4.1639 minutes
------------------------------
How many litres of water were in the tub originally?
At t = 0, L = 120 liters
--------------------------
my name is Chantal and I know how to find the vertex and the roots but I wasn't at school to learn these word problems. Can you help me?
The vertex is(-.8, 123.2)
The roots are -5.763869458 and 4.163869458
This is not in a text book

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