exam Maths Puzzle Numerical Ability

If y varies directly with x, and y=400 when x=1000, find the constant of variation k.

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exam Other Question

solve{{{343x^3=1}}} (there are 3 solutions one real and 2 complex) in y=ax^2+bx+c i understand that b is a strong determinant of the x-intercepts of the curve, but can you explain that more to me? and please give examples if possible!