Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
y = -0.60x - 4
because the slope stays the same because it is parallel and the y intercept for the new equation ends up being -4
6 blue pencils and 3 red pencils means 9 total pencils. So the probability of pulling out ONE blue pencil would be 6/9 or about 67 percent. TWO blue pencils would be HALF of that. So 6/9 * 1/2 which is 6/18 or 1/3 or about 33 percent.