For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts? m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction

m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

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where's the diagram?

step-by-step explanation: