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For the equation x^2 - 2x - 8 = y find: (a) The roots. (b) The y-intercept. (c) The coordinate of the turning point

(a) Several methods to do this, simplest would be to factorise the quadratic into (x - 4)(x + 2) = 0 and from here see that root occur at x = 4 and x = -2.(b) Substitute x = 0 into the equation 0^2 - 2

Answered by Benjamin C. • Maths tutor

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Solve the simultaneous equations for x and y: 2x - 3y + 4 = 0 , x - 2y + 1 = 0.

Simultaneous equations can be solved either by substitution or elimination. Solving this by elimination:2x - 3y + 4 = 0 (1)x - 2y + 1 = 0 (2)To eliminate x, we can multiply both sides of the second equati...

Answered by Benjamin R. • Maths tutor

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8 pens in a bag, 3 blue, 5 red. 2 taken out at random, without replacement. Probability they are the same colour?

Either both blue or both red. 'OR' rule - add probabilities.Blue - first blue and second blue - 'AND' rule - multiply probabilities. 3/8 x 2/7 (as not replaced) = 6/56 = 3/28 (multiply top and bottom)Red ...

Answered by Amy S. • Maths tutor

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Solve: a) 5t + 17 = 2. b) x^3 - 25 = 103 - x^3.

a) 5t + 17 = 2. We want to work out what t is. t = ?.To do this we need to get t on it's own, so first we move all the other numbers to equal t.We do this by subtr...

Answered by James A. • Maths tutor

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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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