According to a certain estimate, the depth M(t), in centimeters, of the water in a different tank at t hours past 3:00 in the morning is given by for . According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?
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Great question!
thank you for sharing
Amazing
Great explanation
Greatt
pls explain more?
thanks, this one clicked pretty fast once I saw the vertex form
same, the (t-4)^2 part basically hands you the answer
wait is the max time just 4 hours after 3:00? got 7:00 but want to make sure I'm not reading the vertex wrong
yeah the squared term is zero when t=4, so that's where it peaks
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.