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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
You can change all of these to decimals and then solve or get common denominators.
8.75 + n + 2.375 + 4.5 = 23.125
15.625 + n = 23.125
Subtract 15.625 from both sides
n = 7.5
Answer:
Step-by-step explanation:
Choice
Answer:
C) 13 and 14
Step-by-step explanation:
To find the answer, we need to check for all the options.
A) 11 and 12 = 11 *12 = 132
B) 12 and 13 = 12 *13 = 156
C) 13 and 14 = 13*14 = 182
D) 14 and 15 = 14*15 = 210
In which, C) is true.
It is 182 which falls in 180's
Therefore, answer is C) 13 and 14
Hope this will helpful.
Thank you.
