Search over 10,000 free study notes

y=x^2-x-2y=(x+1)(x-2)The gradient (dy/dx) measures the rate of the change in y with respect to x. So this can be used to help us find the gradient of a function at any point along it. The question asks th...

This is when a company's costs decrease as a result of increased production. This may occur when two companies decide to merge in order to grow the business by pooling their individual resources. As a res...

Factorising is all about writing algebraic expressions using brackets, to separate x terms.(x + ... )(x +... ) when multiplying out the brackets there will be an x² term, an x term and a numeri...

Firstly we write down all known variables: Initial speed (u)=0 m/s, Acceleration (a)=3 m/s², Time (t)=5s. Final velocity (v)=?Therefore, the equation chosen to solve the problem would be: v=u+a...

4x²-3x+1=2The first step is to rearrange the equation, equating it to zero: 4x²-3x+1-2=0 which gives 4x²-3x-1=0. Next we apply the quadratic formula: x=(-...