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Simplify: (3x+8)/5 > 2x + 1

Multiply both sides by 5: 3x + 8 > 10 x + 5 Move 3x to RHS by subtracting 3x from both sides: 8 > 7x + 5 Move 5 to LHS by subtracting 5 from both sides: 3 > 7x Make the coefficient of x equal 1 by d...
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Answered by Orlaith D. • Maths tutor
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Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis a...
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Answered by Orlaith D. • Maths tutor
4307 Views

For regular verbs which have 'avoir' as their auxiliary verb, how would you form the perfect past tense? (for er, re and ir verbs)

Take the present tense of the auxiliary (avoir) Form the past participle for the verb by removing the ‘er’, ‘re’, and ‘ir’ and then… For: ‘ir’ verbs add ‘i’ ‘er’ verbs add ‘é’ ‘re’ verbs add ‘u’ Do, however,...
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Answered by Hester G. • French tutor
3337 Views

I know all the theory, but I can never score well with the essay questions in paper 2. Why?

As you've probably noticed, the mark scheme is incredibly specific about the terminology that you use. You could describe the process of, say, endocytosis, to great accuracy, but if you don't use the exact k...
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Answered by Amy W. • Biology tutor
5121 Views

Differentiate: 2(x^2+2)^3

This is a chain rule question. Unlike in ordinary differentiation we have more than just the single term 'x' with coefficient 1 raised to the power of something. e.g. x^3 Therefore, there is more steps. We c...
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Answered by Charlotte A. • Maths tutor
3614 Views