If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End
Root a whole number? 1 2 6 15
2 answers:
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
![\sqrt[3]{\frac{144}{y} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7By%7D%20%7D)
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:
![y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B144%7D%7B1%7D%3D144%20%5C%5Cy%3D%5Cfrac%7B144%7D%7B8%7D%3D18%20%5C%5Cy%3D%5Cfrac%7B144%7D%7B27%7D%3D5.333%5C%5Cy%3D%5Cfrac%7B144%7D%7B64%7D%3D2.25%5C%5Cy%3D%5Cfrac%7B144%7D%7B125%7D%3D1.152)
Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
Answer:it’s b
Step-by-step explanation:
Just took quiz on edge 2020
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4/25 is bigger
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Which of the following is an arithmetic sequence? 2, 4, 8, 16, ... -8, -6, -4, -2, ... -2, 4, -6, 8, .
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Answer:
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Step-by-step explanation:
The third one is so wrong.
Answer:
12x-15
Step-by-step explanation:
A triangle has 3 sides
An equilateral triangle has 3 sides that are all the same length
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P = s1+s2+s3
P = 4x-4 + 4x-5+4x-5
Combine like terms
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I think the last one but I could be wrong