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Prove that the square of an odd number is always 1 more than a multiple of 4

An odd number can be expressed by the formula "2n + 1" where n stands for any integer. Therefore, the square of any odd number can be expressed as:(2n+1)^2 = (2n+1)(2n+1) = 4n^2 + 4n + 1 = 4(n^2 + ...
EB
Answered by Edward B. • Maths tutor
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Solve the simultaneous equation x+y=11(1), x^2+y^2=61 (2)

Make x the subject in the equation x+y=11(1). This will help us eliminate x in the second equation (2).x=11-y (3)Substitute (3) into (2)(11-y) 2 +y 2 =61Expanding the brackets and simplifying gives 2y 2 -22y...
Answered by • Maths tutor
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How am I meant to prepare for the Paper 1 if I don't know which text I will receive?

Unlike some of the other IB topics, the final examinations for English don't ask you to demonstrate a certain memorized knowledge, rather a skill that has been developed over the two years. While paper one c...
IW
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Describe how proteins are processed and released from cells

Proteins travel to the Golgi Apparatus where they are modified (e.g. glycosylation) and packaged into vesicles. Vesicles then travel to, and fuse with, the cell surface membrane. This causes the release of p...
SH
Answered by Shahmeer H. • Biology tutor
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What is the range of the function y = x^2?

Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because if w...
MB
Answered by Molly B. • Maths tutor
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