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Expand brackets: 8p-6. Move all values to one side: p - 8p + 15 + 6 = 0. Subtract p values and add normal numbers: -7p + 21 = 0. Move p values to other side: 21 = 7p. Divide through by 7: p = 21/7. p = 3....

Firstly it is important to understand the assumptions of perfect competition.They are as follows:-Large number of buyers and sellers-Homogenous (identical) goods-No barriers to entry or exit-Firms are pri...

I find that a lot of maths at A-Level is unmotivated, and this causes a lot of unnecessary confusion. You can do this question, you just need to recognise the point of log and keep a level head. Log is d...

Invert the translation of (2,3) to get the parabola passing through the point (4,7)-(2,3)=(2,4). This is the same as saying that y=4 when x=2, substitute this into your equation y^2=4ax to get a=2.This wi...

candidate should recognise the equation is a difference between two squares.
the next step is to factorise: square root of 25 is 5
(x-5)(x+5) = x^2-25
x= -5 x= 5