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Suppose that (3)^3x = (3)^6y^2 and that y 0. Which of the followin
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07 Jan 2023, 01:50
07 Jan 2023, 01:50
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94% (01:14) correct
5% (00:45) wrong based on 17 sessions
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Suppose that \((−3)^3x = (−3)^6y^2\) and that y ≠ 0.Which of the following must be true?
Indicate all that apply.
A. x is always negative
B. x is negative only if y is negative
C. x is positive only if y is negative
Indicate all that apply.
A. x is always negative
B. x is negative only if y is negative
C. x is positive only if y is negative
Re: Suppose that (3)^3x = (3)^6y^2 and that y 0. Which of the followin
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05 Feb 2023, 10:17
05 Feb 2023, 10:17
Expert Reply
OE
Notice that (−3)^3 is negative while (−3)^6 and y^2 are both positive (this is a property of any number, with the exception of 0, raised to an even power). You can therefore rewrite the original equation as: (Neg)x = (Pos)(Pos). This simplifies to (Neg)x = (Pos) or x = (Neg). You can tell from the answer choices that the question involves only the sign of x. X must be negative in order for the new equation to hold—thus, only choice (A) is correct.
Notice that (−3)^3 is negative while (−3)^6 and y^2 are both positive (this is a property of any number, with the exception of 0, raised to an even power). You can therefore rewrite the original equation as: (Neg)x = (Pos)(Pos). This simplifies to (Neg)x = (Pos) or x = (Neg). You can tell from the answer choices that the question involves only the sign of x. X must be negative in order for the new equation to hold—thus, only choice (A) is correct.
Re: Suppose that (3)^3x = (3)^6y^2 and that y 0. Which of the followin
[#permalink]
17 Apr 2024, 10:22
17 Apr 2024, 10:22
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