exam Maths Puzzle Numerical Ability

Please help me with this word problem, please walk me through the steps to solve this problem.

Suppose the demand and price for the HBO cable channel are related by p = .5q + 3

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please help me answer this question: use the axis of symmetry formula to find the vertex of f(x)=3x^2-4x+1. I am having trouble setting these problems up into equations.

Given
S=Supply (in thousands) S=.09x^2-.45x+3.5
D=Demand (in thousands) D=15-.5x
X=price

What should the pric