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
A is greater . That's the one
Answer: 7/12
Step-by-step explanation:
From the question, we are told that Chelsea plays soccer 4/12 of the year and swims 3/12 of the year before taking a break from playing sports.
The fraction of the year that Chelsea spend participating in sports will be the addition of the fraction used for playing soccer and the fraction use for swimming. This will be:
= 4/12 + 3/12
= 7/12
In y = mx + b form, the slope will be in the m position and the y int will be in the b position
y = 6x - 5.....the slope is 6. A parallel line will have the same slope
with a y int of 7....
y = 6x + 7 <===
Answer:
502.65
Step-by-step explanation:
