Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]
Answer:
y = x² − x + 3
Step-by-step explanation:
Quadratic equation is:
y = ax² + bx + c
Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).
9 = a(-2)² + b(-2) + c
5 = a(-1)² + b(-1) + c
3 = a(0)² + b(0) + c
9 = 4a − 2b + c
5 = a − b + c
3 = c
We know c = 3, so substitute into the first two equations:
9 = 4a − 2b + 3
5 = a − b + 3
0 = 4a − 2b − 6
0 = a − b − 2
Solve by elimination or substitution.
b = a − 2
0 = 4a − 2(a − 2) − 6
0 = 4a − 2a + 4 − 6
0 = 2a − 2
a = 1
b = -1
Therefore:
y = x² − x + 3
It will be 1/4.
That is your answer.
Hope this helps
You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together
Answer:
33.275
Step-by-step explanation:
<u>1 step:</u> Difference in brackets
<u>2 step:</u> 
<u>3 step:</u> 
<u>4 step:</u>
<u>5 step:</u>
Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
