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
7.211; Starting from the left to right, x1=3 x2=7, y1=2 y2=8. Plug these in to the distance formula
(7-3)^2+(8-2)^2
(4)^2+(6)^2
16+36
sqrt 52
7.211
Answer and explain:
1st person: 70 % throws
70/100x80 = 56 out of 80 throws
2nd person: 60% throws
60/100x80 = 48 out of 80 throws
3rd person 50% throws
50/100x80 = 40 out of 80 throws
56+48+40/80x3 = 77/120
One equation that gives the estimated number of free throws (all the 3 people) is 77 out of 120. The best player will make about 56 out of 80 free throws.