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Solve for x: 2x^2 + 2x -24 = 0

The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m ...
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Answered by Yige Z. • Maths tutor
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Describe some of the means by which a plant might defend itself, bearing in mind that it is 'sessile' (it cannot move around)?

The plant could have structural defence mechanisms such as 'thorns' or 'spines' which could cause damage to the mouth of herbivores so the plant is not eaten. It could also have 'stings' which are little hai...
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Answered by Hester G. • Biology 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
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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
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What is classical conditioning?

Classical conditioning is a learning process whereby a stimulus such as food is paired with another neutral stimulus (food) through an association.
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Answered by Fred B. • Psychology tutor
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