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11 Feb 2020, 01:28
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:24) correct
32%
(01:53)
wrong
based on 164
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If (3x+3)^2 = 900, which of the following could be the value of x -1?
A)-12
B) -11
C) -8
D) 9
E) 11
A)-12
B) -11
C) -8
D) 9
E) 11
11 Feb 2020, 07:50
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if a^2 = 900, then a is either 30 or -30. So here we have two possibilities:
3x + 3 = 30
3x = 27
x = 9
x-1 = 8
but that's not an answer choice. So the answer must come from this equation
3x + 3 = -30
3x = -33
x = -11
x-1 = -12
3x + 3 = 30
3x = 27
x = 9
x-1 = 8
but that's not an answer choice. So the answer must come from this equation
3x + 3 = -30
3x = -33
x = -11
x-1 = -12
11 Feb 2020, 09:59
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If (3x+3)^2 = 900, which of the following could be the value of x -1?
A)-12 --> correct: (3x+3)^2 = 900 => 9*(x+1)^2=900 => (x+1)*2 = 100 => x+1 = +10 or -10 => x-1= +8 or -12
B) -11
C) -8
D) 9
E) 11
A)-12 --> correct: (3x+3)^2 = 900 => 9*(x+1)^2=900 => (x+1)*2 = 100 => x+1 = +10 or -10 => x-1= +8 or -12
B) -11
C) -8
D) 9
E) 11
17 Feb 2020, 04:19
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Raxit85
Taking the square root of both sides, we have:
3x + 3 = 30
3x = 27
x = 9
Or
3x + 3 = -30
3x = -33
x = -11
Thus, x - 1 could be either 8 or -12.
Answer: A
