2

Set 2: Quadratic Equations (Intermediate)

Explanation

Answer: A

What is the minimum cost for C(x)=x2−10x+40C(x) = x^2 - 10x + 40?

A.

15

✓ Correct
B.

5

C.

40

D.

25

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Vertex x: x=−(−10)/2=5x = -(-10)/2 = 5. 2. Minimum Cost: Substitute x=5x=5. C(5)=52−10(5)+40C(5) = 5^2 - 10(5) + 40 C(5)=25−50+40=15C(5) = 25 - 50 + 40 = 15. Choice B is incorrect because it is the x-value. Choice C is incorrect because it is the y-intercept. Choice D is incorrect.

Key Steps:

•

The correct answer is 15

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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