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Factorise 2x^2+5x - 3

When factorising a quadratic expression the aim is to put the expression into brackets. Step 1: Label each expression as a b c2x2 = a 5x = b -3 = cStep 2: Multiply a with c number 2 * -3 = -6 Step 3: Know yo...
VA
Answered by Victoria A. • Maths tutor
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Factorise x² + 6x + 8

A quadratic equation is written in the form: ax 2 + bx + cTo factorise, we need to know what 2 numbers multiply to make ac and add to make bac= 8b=64 x 2=8 4+2 = 6We replace b for these two numbers so the eq...
LM
Answered by Laila M. • Maths tutor
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Describe and explain how the alveoli are adapted to perform efficient gaseous exchange

The alveoli are arranged in clusters at the end of the bronchioles in the lungs. The lungs contain an extremely large surface area of alveoli (around 70m2) which acts to provide the maximum space for the exc...
JP
Answered by Joe P. • Biology tutor
7587 Views

Prove that the sum of squares of the first n natural numbers is n/6(n+1)(2n+1)

In order to do this we must follow the standard procedure for a proof by induction which is to first check a base case:Let n = 1, then the sum can be written as 1 2 = 1/6(1+1)(2+1) = 1 as required. Next, ass...
TD
6482 Views

How might we implement the bubble sort algorithm in Python

Largely shown in code with a talk-through of what I'm doing. First discuss what the algorithm is doing, then talk through Python implementation with pythonic practices in mind e.g. why use a function, and di...
TD
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