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Let N be an integer not divisible by 3. Prove N^2 = 3a + 1, where a is an integer

For N to be not divisible by 3, N can either be of the form 3k + 1 (1,4...) or 3k + 2 (2,5...), where k is an integer.
The proof can then be done by checking both 3k + 1 and 3k + 2 when N is squared...

Answered by Maths tutor
25944 Views

What should I include in a personal statement?

When writing your personal statement it can be tempting to include everything you have ever done and all the books you have read. However, due to the restricted length it is important to that you carefull...

2494 Views

How can the concept of opportunity cost be explained on different aspects of the economy?

Opportunity cost is the next best alternative choice that someone has. In an economy, it can be confronted by several actors; the government itself, consumers, or firms.
On an indiv...

SK
Answered by Stavria K. Economics tutor
1999 Views

how might a competitive inhibitor prevent the enzyme trypsin from working

inhibitor is a similar shape to the substrate
this means the inhibitor blocks the active site of the enzyme
the substrate cannot bind to the active site, so fewer enzyme substrate complexes can ...

Answered by Biology tutor
2053 Views

Find the values of x and y using the simultaneous equations: x+y=11, y-6=15

First solve the equation with only one unknown to find y:y-6=15Add 6 to both sides to get the value of y:y=15+6y=21Now there is only one unknown we can solve for x:x+21=11x=11-21x=-10Check the values are ...

JF
Answered by Jack F. Maths tutor
3276 Views

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