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Prove by contradiction that 2^(1/3) is an irrational number

Assume 2^(1/3) is rational, so can be written as p/q where p and q are integers with no common factors. p/q = 2^(1/3) (p^3)/(q^3) = 2 p^3 = 2q^3 Hence, p is even. Thus, p can be written as 2r, where r is an ...
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Answered by Oscar R. Maths tutor
13519 Views

Draw the graph of y=x^2-4x-21

We know that this is going to be a “U” shaped parabola as the graph is a positive x^2 graph. The y intercept is the point at which x=0. Substituting in 0 gives when x = 0, y = -21.Now we need the x intercept...
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Answered by Tutor598463 D. Maths tutor
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Which verbs do I use être with in the perfect tense?

When you use the perfect tense, you use a form of either avoir or être with the past participle of the verb describing the main action. Most verbs use avoir, but some use être and these can be divided into t...
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Answered by Anna F. French tutor
2702 Views

What phrases can I use to structure my arguments and express my opinions?

In a conversation or essay you need to have some phrases to show what your opinion is and whether you are in favour of or against the argument you are debating. 'Ich denke, dass' is good, but it can get a bi...
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Answered by Anna F. German tutor
2146 Views

What are modal verbs? How do they work in German?

In German there are six modal verbs - können, wollen, dürfen, müssen, sollen and mögen. They allow you to say what you can, want, may, must, should or like to do. They are used slightly differently to other ...
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Answered by Anna F. German tutor
1857 Views