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dy/dx=-10x^4When x-1, gradient =-10 Tangent is then: y+10x=15When x=-2, dy/dx=-160 so a decreasing function

The question is asking us to factorise, this means put the equation into a simplified bracket. The first step is to find the highest common factor (HCF), the HCF must be a factor of 21x² as wel...

First we need to look at the quadratic formulas separately and factorise them. (x^2-5x+4) the sum is -5 and the product is 4, we need to find numbers that add to get -5 and multiply to get 4, which is -4,...

When multiplying fractions you multiply the numerators together to get the resulting numerator, and multiply the denominators to get the denominator. In this case you would have (2/15 x 15/22) when writte...

It reflects the set of values for which 95% of a normally distributed sample lies, which tells us with 95% confidence that the mean value lies within this interval. 95% confidence means the likelihood tha...