Answer:

Step-by-step explanation:
x-intercepts are for y = 0.
Put y = 0 to the equation y = 3x² + 7x + m.
<h3>3x² + 7x + m = 0</h3>
Calculate the discriminant of quadratic equation ax² + bx + c = 0:
Δ = b² - 4ac
if Δ < 0, then an equation has no solution
if Δ = 0, then an equation has one solution
if Δ > 0, then an equation has two solution.
<h3>3x² + 7x + m = 0</h3>
a = 3, b = 7, c = m
Δ = 7² - 4(3)(m) = 49 - 12m
Two x-intercepts for Δ > 0.
Solve the inequality:
<em>subtract 49 from both sides</em>
<em>change the signs</em>
<em>divide both sides by 12</em>
