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First of all you need to work out the total number of pens. 7+4+6=17. How many of these 17 pens are blue? 7. If you pick one pen out of the 17, 7 of them would be blue. To work out the probability, you n...

1. First we need to make sure we have a nicely labelled triangle, identifying which sides are the adjacent, opposite and hypotenuse. 2) Once these are labelled we will can work out which trig function ...

The first step here is to identify what to do. Differentiating the equation y = 2x^2 + 7 will result in dy/dx = 4x. Given that you know that x = 3, you can substitute x = 3 into 4x which gives you 4(3) = ...

Find the difference between each term in the sequence. Then find the second difference, i.e. the difference between each of the primary differences. Divide this by 2, to give you the coefficient of n^2. N...

First, when faced with a question like this you must factorise the expression. So we need to factorise x²-5x+4 into 2 linear parts. (Linear terms are terms without any powers of x). To do this,...