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Factorise x^3-6x^2+9x.

x^3-6x^2+9x=x(x^2-6x+9) observe binomial formula (x-3)^2=(x^2-6x+9) Thus x(x-3)^2 and the function has two points meeting the x-axis.
EG
Answered by Evita G. Maths tutor
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Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

First step: integrate int df/dx = x^2+3x+c (never forget the constant!) Second step: substitute the point in order to get c 1 = (1)^2+3*1+c -> c = 1-1-3=-3 Thus, f = x^2+3x-3
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Answered by Evita G. Maths tutor
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How would you structure a paragraph?

In the IB, it is of paramount importance that one should strictly follow the subject guidelines. If you look at the marking rubric, it is important that you 1.) Effectively organise your arguments in order o...
IS
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How do I effectively analyse a quotation in a text?

When writing an essay, it is imperative that you close read quotations from the set text you are studying. However, this can be tricky- particurarly if you are not familiar with poetic devices, rhetoric and ...
LH
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Explain how a company would set a price if their aim was to profit maximise.

Profit maximising is where a company sets a price and quantity that gets the company the highest profit possible. Profit maximising tends to occur in markets with low competition where the companies have hig...
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Answered by Adam D. Economics tutor
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