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Using the fact that 1/3rd of the fruit in bag 1 are apples and there are 20 apples in total you can work out that there are 60 pieces of fruit in bag 1. This is found by doing 20 x 3 = 60.

Then usi...

2(e-2f) + x(e-2f) = (2+x)(e-2f)

This equation rearranges to give -y=(x+3)^2-4, which is very similar to our curve y=(x+3)^2-4 from before. In fact, replacing y with -y in an equation is equivalent to reflecting the curve through the x-a...

To answer this question is equivalent to minimising y=(x+3)^2-4. We have that all square numbers are greater than or equal to 0 so to minimise this equation, we require that (x+3)^2=0. This is satisfied o...

When completing the square, we first divide the whole equation by the x^2 component. In this case, the x^2 component is 1 so nothing changes. We now apply the method to convert to square form: we reduce t...