Answer:
Find a polynomial function whose graph passes through (6,13), (9,-11), (0,5)
1 Answers
Assuming a quadratic, we have that
y = ax^2 + bx + c
Since (0,5) is on the graph, c =5
And we have the remaining system
a(9)^2 + b(9) + 5 = -11
a(6)^2 + b(6) + 5 = 13 simplify
81a + 9b = -16 multiply through by 6 ⇒ 486a + 54b = - 96 (1)
36a + 6b = 8 multiply through by -9 ⇒ -324a -54b = -72 (2)
Add (1) and (2)
162a = -168
a = -28/27
To find b we have
36 (-28/27) + 6b = 8
-112/3 + 6b = 8
⇒ b = 68/9
The function is
y = - (28/27)x^2 + (68/9)x + 5
Answer:
x
Step-by-step explanation:
Answer:
2.24
Step-by-step explanation:
The probability formula using a Poisson distribution is:
λ = 90 / 18 = 5 average goals per interval (interval = a game)
So if for example you were interested in the probability of making 2 goals in a game
k = 2
This was just an example,
The standard deviation is 
Irrational roots occurs with its conjugate.
Therefore, -√3 is also root of the function.
The answer is -√3.
