If we have 52 marbles and try to make the biggest possible equilateral triangle, how many marbles are left over?

What is the slope of the equation y =

Which of the following represents the range of the graph of f(x) below

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.