Answer:
Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).
Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2)
Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3
(notice that 1 is not divisibble by 3, but 9k^2 + 6k)
Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2 + 12k)
=> x^2 - 2 will never be divisible by 3
Hope this helps!
:)
Answer:
I believe the length would be <u>closer to 5 meters</u>. This so because, when looking at perfect squares, √30 is closer to √25 (which equals 5) than √36 (which equals 6).
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Answer:
![\large\boxed{h](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bh%3C1%5Cto%20h%5Cin%28-%5Cinfty%2C%5C%201%29%7D)
Step-by-step explanation:
![h-2](https://tex.z-dn.net/?f=h-2%3C-1%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5C%5Ch-2%2B2%3C-1%2B2%5C%5C%5C%5C%5Cboxed%7Bh%3C1%7D)
<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
It will be a little less than 100. You can find this either by dividing it out, or rounding 593 up to 600. 600 ÷ 6 = 100 and 593 is a little less than 600, so therefore 593 ÷ 6 will be a little less than 100.