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An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. We can work this out for the sequence 11, 17, 23, 29. ...

We work from right to left (x + a)² = x² + 2ax + a² 2a = 8 [coefficients of x must match] a = 4 (x + 4)² = x² + 8x + 16 [substitute in a = 4] x^2...

There are two steps to solving this problem. First, we want to find out how much the increase itself is, so we want to calculate 4% of £23. Then, we want to add the result to the £23. That will give us th...

x=9 y=-1

From the question we have y = -x - 2 so we can sub in -x-2 everywhere there is a y in the first equation.

The equation is then 2x+4(-x-2) = -12 expanding the brackets we get -2x-8=-12 which you can...