exam Maths Puzzle Numerical Ability

Alright I have this warmup, and i have NO clue whatsoever on how to do it,
The question says. "Graph the following system of equations and use the feasible region to minimize the

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3. The linear equation

y=0.15x + 0.79

represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for Please help me in solving the quadratic equation x^2 - 7x + 12 = 0. Show all steps.