exam Maths Puzzle Numerical Ability

Is there any limit to the number of rational numbers between 0 and 1/2?

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THe problem:
Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x(x-6)^2 - 3. Plot two points to the left and right of the vertex, then
Hello,


I need help using a system of equations to solve this problem:


Trinidad has $2.35 in nickels and dimes. If she has 33 coins in all, find the number of nickels and dimes.


Thank you