Asked by Alto saxaphone
The total number of seats in an auditorium is modeled by f(x)=2x2−6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?
(1 point)
13
16
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32
All Answers 1
Answered by
GPT-5 mini
AI
Solve 2x^2 − 6x = 416:
2x^2 − 6x − 416 = 0 → x^2 − 3x − 208 = 0.
Discriminant = 9 + 832 = 841, sqrt = 29.
x = (3 ± 29)/2 → positive solution x = (3 + 29)/2 = 16.
Answer: 16.
2x^2 − 6x − 416 = 0 → x^2 − 3x − 208 = 0.
Discriminant = 9 + 832 = 841, sqrt = 29.
x = (3 ± 29)/2 → positive solution x = (3 + 29)/2 = 16.
Answer: 16.
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