For what values of m does the graph of y is equal to 3 x squared plus 7 x plus m have two x -intercepts?

A quadratic has two distinct x-intercepts when its discriminant is greater than zero. For y = 3x² + 7x + m, the discriminant is 7² − 4(3)(m) = 49 − 12m. Requiring 49 − 12m > 0 gives m < 49/12, so the correct choice is “m is less than 49 over 12.”

AI-written and checked against the verified answer.