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Factorise the Quadratic: 3x^2 + 2x - 1.

When we are asked to factorise a quadratic we essentially need to tidy it up by putting it into brackets.For a quadratic we look to work out the sum and the product, however this time it's a bit different...

Answered by James A. • Maths tutor

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A particle, P, moves along the x-axis. The displacement, x metres, of P is given by 0.5t^2(t^2 - 2t + 1), when is P instantaneously at rest

differenciate and then eqate with v = 0.

Answered by Harry S. • Maths tutor

6273 Views

Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

Answered by Emma J. • Maths tutor

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f(x) = sinx. Using differentiation from first principles find the exact value of f' (π/6).

The derivative of the function where x=π/6 is defined asThe limit as h->0 of [sin(h+π/6)-sin(π/6)]/hUsing the double angle formula, sin(h+π/6) = sin(h)cos(π/6) + cos(h)sin(π/6) = √3sin(h)/2 + cos(h)si...

Answered by • Maths tutor

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There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.

The even numbers from 2 to 12: 2, 4, 6, 8, 10, 12That means there are 6 numbers on the spinner If Dan has 4 and 10 and all the portions are the same, the chances of landing on 4 or 10 is 2/6Simplifying th...

Answered by Katherine B. • Maths tutor

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