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FOIL stands for First,Outer,Inner and Last. This is the order of multiplying the terms from each set of brackets.First terms give: t x t=t²Outer terms give: t x -2=-2tInner terms give: 5 x t=5t...

 4x+ y = 12 , 2x+ y = 81) find the unknown (either x or y) that has the same coefficient. - In this example it is y2) Take away the equations from one another so you only have 1 unknown - 2x = 43) Divide ...

So to tackle this question you have to imagine 4x + 6 < 14 < 3x - 2 as two separate inequalities.4x - 6 < 14 and 14 < 3x + 2
This still means the same thing but we have simplified it by ...

3x - y = 5 (A), x + 2y = -3 (B),6x - 2y = 10 (2A) ,7x + 2y +- 2y = 7 (2A) + (B),7x +2y - 2y = 7,7x = 7,x = 1,Sub x=1 -> (A),3(1) - y = 5,3 - y = 5,-y = 2,y = -2,x = 1, x= -2

Well this can be rewritten as : (x+8)(x-2), so roots are x=-8, and x=2. So therefore the x co-ordinate of the minimum point is half way between the 2 roots by symmetry. So the x co-ordinate is x=-3. Subs...