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x is greater or equal to zero
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12 Sep 2019, 04:39
12 Sep 2019, 04:39
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Question Stats:
81% (00:36) correct
18% (00:36) wrong based on 112 sessions
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\(x \geq 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
\(5^{5x}\) |
\(5^{5+x}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
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x is greater or equal to zero
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12 Sep 2019, 10:18
12 Sep 2019, 10:18
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Carcass wrote:
\(x \geq 0\)
Quantity A |
Quantity B |
\(5^{5x}\) |
\(5^{5+x}\) |
Let's test some values.
case i: if x ≥ 0, it COULD be the case that x = 0
We get:
Quantity A: \(5^{5x} = 5^{5(0)}= 5^{0}=1\)
Quantity B: \(5^{5+x}=5^{5+0}=5^{5}=3125\)
In this case, Quantity B is greater
case ii: if x ≥ 0, it COULD be the case that x = 100
We get:
Quantity A: \(5^{5x} = 5^{5(100)}= 5^{500}\)
Quantity B: \(5^{5+x}=5^{5+100}=5^{105}\)
In this case, \(5^{500}>5^{105}\). SO, Quantity A is greater
Answer: D
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Re: x is greater or equal to zero
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16 Sep 2019, 04:20
16 Sep 2019, 04:20
1
if x=0
Col A = 5^0 =1
Col B = 5 ^5
Col B > Col A
If x=2
Col A = 5^10
Col B = 5 ^7
Col A > Col B
Answer is D
Col A = 5^0 =1
Col B = 5 ^5
Col B > Col A
If x=2
Col A = 5^10
Col B = 5 ^7
Col A > Col B
Answer is D
