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To solve this, we need to factorise the expression (write as a product of two brackets). To do this we want to find to numbers that multiply to make +6 and add up to -5, for this case. These numb...

We know that the question is asking us to take the number 36 to the power of 0.5. By assumption 0.5 can be written as 1/2. To take 36 to the power of a 1/2 we take it to the root of the denominator and th...

This question is most simply solved with a probability tree diagram, where you just follow the paths of picking two same coloured beads. The first branch would be picking two red beads. P(R1) = 5 / 12, an...

The equation of a circle is given in the form (x-a)² + (y-b)² = r², in which the centre of the circle is (a,b) and the radius of the circle is 'r'. If you can figure out o...

Ok so for this question we'll use this example: y = (e^{-2x^2} + 2)^1/5
We start off by making the expression inside the brackets equal to u. In other words u = e^{-2x^2} + ...