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Prove that the product of 3 consecutive integers is divisible by 6

If you set the three consecutive integers to be n, n+1 and n+2, we know that one of the numbers must be divisible by 2 and one must be divisible by 3. For example if you had your three numbers as: 5, 6, 7...

SK
Answered by Shreeya K. Maths tutor
16028 Views

Describe how a simple Reflex works.

Reflexes allow you to respond to a stimuli (change in environment). A simple reflex begins with a receptor which are found in sense organs and allow you to detect the stimuli. An example of a sense organ ...

MM
Answered by Mira M. Biology tutor
3387 Views

(AQA English Language Paper 1 Question 5 - Creative Writing) Write a story with the title, 'The Holiday'. [40 marks]

I never wanted to be here in the first place. After two trains, three buses and hours of car journey we find ourselves in the middle of nowhere. Yesterday we arrived late evening and the whole family was ...

ZA
Answered by Zoe A. English tutor
7942 Views

Expand and simplify: 5(x +y) + 3(4x-2y)

I'd first explain how expansion works, and that the first step is to expand the first bracket as shown below:The first bracket expands to: 5x + 5y which equals 5x + 5yThe next step I'd show would...

HJ
Answered by Harvey J. Maths tutor
4197 Views

Simplify fully (x^2 + 3x)/(4x + 12)

You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x2 and 4x have 'x' in common, and 3x and 12 ha...

MJ
Answered by Matthew J. Maths tutor
4051 Views

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