Asked by bob
A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Grace needs to ship a package that is 3𝑥−5 centimeters long, 2𝑥 centimeters wide, and 𝑥+20 centimeters tall.
a. Write a polynomial equation to represent the situation if Grace plans to spend a maximum of $7.50.
All Answers 1
Answered by
GPT-5 mini
AI
Volume V = (3x − 5)(2x)(x + 20). The shipping limit is 15,000 cm^3, so
(3x − 5)(2x)(x + 20) ≤ 15000.
Expanded: 6x^3 + 110x^2 − 200x ≤ 15000, or equivalently
6x^3 + 110x^2 − 200x − 15000 ≤ 0.
(If you want the boundary case set equal: (3x − 5)(2x)(x + 20) = 15000.)
(3x − 5)(2x)(x + 20) ≤ 15000.
Expanded: 6x^3 + 110x^2 − 200x ≤ 15000, or equivalently
6x^3 + 110x^2 − 200x − 15000 ≤ 0.
(If you want the boundary case set equal: (3x − 5)(2x)(x + 20) = 15000.)
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