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6x^2 + 5x +7 =y

dy/dx = 12x + 5 

To solve for a point of inflection:

dy/dx = 12x + 5 = 0

x=-5/12

y=143/24

As the tangent meets the circle at P, when x =1, we can assume that the y value will be the same for this value of x. therefore we substitute x=1 into the equation of the cirlce. Rearranging the equation ...

i) (5 x 4) -12 = 8 ii)  5(x + 1) - 12 5x + 5 -12 5x - 7

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £3...

Remember that both sides of the equation need to 'balance', so any changes that we make to the right hand side must also be made to the left hand side. 

Let's start by getting rid of the '5' on the...