exam Maths Puzzle Numerical Ability

Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x+9 , and the point, (2,−3) , is an inflection point of f(x).

(a) Find the value of the real constan

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Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40. How do you find the hieght of a triangle if you already know the measurements of all three sides?