10

Set 2: Quadratic Equations (Advanced)

Explanation

Answer: A

The effectiveness of a drug E(t)E(t) at time tt is E(t)=t2+6tE(t) = -t^2 + 6t. When is the drug most effective?

A.

3 hours

✓ Correct
B.

6 hours

C.

2 hours

D.

1.5 hours

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Maximize the function. 1. t=6/(2(1))=3t = -6 / (2(-1)) = 3. 2. The drug is most effective at 3 hours. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 3 hours

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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