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given 8z^4 = 96
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02 Jul 2017, 15:31
02 Jul 2017, 15:31
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67% (00:52) correct
32% (00:45) wrong based on 116 sessions
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\(8z^4 = 96\)
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
2 |
z |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 2
Page: 352
Question: 2
Page: 352
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Re: given 8z^4 = 96
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06 Jul 2017, 05:50
06 Jul 2017, 05:50
1
sandy wrote:
\(8z^4 = 96\)
Quantity A |
Quantity B |
2 |
z |
Given: \(8z^4 = 96\)
Divide both sides by 8 to get: \(z^4 = 12\)
So, EITHER z = ∜12 OR z = -∜12
Notice that ∜1 = 1 and ∜16 = 2. So ∜12 must be BETWEEN 1 and 2.
We can say ∜12 = 1.something and -∜12 = -1.something
Since 1.something and -1.something are both smaller than 2, we can conclude that Quantity A is greater.
Answer:
Show: ::
A
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Re: given 8z^4 = 96
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22 Apr 2018, 14:05
22 Apr 2018, 14:05
2
Expert Reply
Explanation
Divide both sides by 8 to get \(z^4 = 12\). Rather than finding the fourth root of 12, try plugging in 2 for z: \(2^4 = 16\), so z must be less than 2. Of course, z may be negative, but any negative number is also less than 2.
Hence option A is correct!
Divide both sides by 8 to get \(z^4 = 12\). Rather than finding the fourth root of 12, try plugging in 2 for z: \(2^4 = 16\), so z must be less than 2. Of course, z may be negative, but any negative number is also less than 2.
Hence option A is correct!
