We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:
D. 48
Step-by-step explanation:
In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.
This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.
4a + 3 = 15
- 3
4a = 12
÷ 4
a = 3
I hope this helps!
Answer:
Step-by-step explanation:
15 plus 15 plus 15 is 45 - 15 =30
