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Maths
GCSE

Complete the square and hence sketch the graph of f(x) = x^2 + 2x + 7

Consider (x + 1)^2, where we halved the coefficient of x to obtain 1. This gives us x^2 + 2x + 1, which looks similar to our function, except it differs by a constant value of 6, hence, by adding 6 to (x ...

JP
Answered by Jordan P. Maths tutor
3409 Views

How to write an introduction for an essay in Russian

When writing an introduction for any essay, it is essential that you present your topic, state the problem, explain any terminology that you will be using and clarify what you attempt to achieve in your e...

BR
Answered by Benita R. Maths tutor
3525 Views

The equation of a curve is y = (x + 3)^2 + 5. Find the coordinates of the turning point.

We are asked to find the coordinates of the turning point of a line, and we should first remind ourselves of what this means. A turning point on a line is either a maximum or minimum...

MS
Answered by Marnie S. Maths tutor
9898 Views

There are 10 boys and 20 girls in a class. The mean mark for the class is 60, the mean mark for the girls is 54. Work out the mean mark for the boys.

Answer: The boys mean mark is 72.Explanation:Start by writing down all the information given in the question: (number of boys = 10, number of girls = 20, girls mean = 54, class mean = 60)Then have a think...

VB
Answered by Verity B. Maths tutor
10144 Views

How do you solve simultaneous equations?

A simultaneous equation is when we have 2 equations which both have X and Y in them. The best way to solve these equations is to rearrange one of them to make either X or Y the subject, and then substitut...

CN
Answered by Charlie N. Maths tutor
2902 Views

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