9514 1404 393
Answer:
4n
Step-by-step explanation:
We observe that each output is 4 times the corresponding input. Then 4 times n will be ...
Input: n
Output: 4n
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
4x^2 - 2xy^2
5xy^2 +
3x^2y
_____________
12x^5y^4-2xy^2
This is so because 4+5+3 is 12, then using laws of indices to add your x and y you get x^5 and y^4
To simplify your answer to the lowest you have it in the form of
3x^2y^2(4x^2y - 2xy^2)
If you multiply this as well you get the same answer I got with the addition
Answer:
b
Step-by-step explanation:
C is the only one that is perpendicular.
The quickest way I can explain it is that the y-axis runs up and down, making the slope undefined. Something perpendicular to an undefined slope is a 0-slope. The only equation of the choices that has a 0-slope is C. Comment if you want a more detailed answer.
