Answer:
1. Percent
2. Number
Step-by-step explanation:
Answer: It is a reflection over the x axis!
Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.
check for (1,6)
y=5x+1
or 6=5*1+1
or 6=5+1
or 6=6
Which is TRUE.
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check for (2,11)
y=5x+1
or 11=5*2+1
or 11=10+1
or 11=11
Which is TRUE.
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check for (0,1)
y=5x+1
or 1=5*0+1
or 1=0+1
or 1=1
Which is TRUE.
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check for (-1,6)
y=5x+1
or 6=5*(-1)+1
or 6=-5+1
or 6=-4
Which is FALSE.
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Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.
