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
Answer:
c = 18.47
Step-by-step explanation:
This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:
1. 
+ 
= 
2. 
+ 
=
3. 25 + 196 =
4. 221 =
5. 
= c
6. 18.47 = c
Hello,
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Answer B
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2x²+28x-5=2(x²+2*7x+49)-5-2*49=2(x+7)²-103
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Answer:
(10, 8) is the distance.
Step-by-step explanation:
The x's are 10 points away from each other and y's are 8 points away from each other.
By the way, there is no second picture.
Sorry if I'm wrong. I might be more helpful if you upload the second picture.
