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:
Answer:
3
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
f(2) = -2·f(1) = -2·(-1.5) = 3
The next term of the sequence is 3.
Stanley the skunk will save about 15.5 feet.
This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.
If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.
9514 1404 393
Answer:
- domain: [-6, -1)
- range: [-5, 4]
Step-by-step explanation:
You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...
[-6, -1)
__
The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...
[-5, 4]
Answer:
The. angle is 72 and the supplement is 108
Step-by-step explanation:
Supplementary agnles are two angles with a sum of 180. So for example, two right angles would be supplementary.
Once again lets break this down by putting it into an equation. The supplement will be x. We know that 180 - x ( the supplement) will be equal to the angle but the angle is 2/3 the supplement.
Your equation should look like this x = 2/3 (180 - x).
Then we're going to multiply both sides by 3 to get 3x = 2 (180 - x)
You should distribute the 2 on the right side to then get 3x = 360 - 2x
You want to get x by itself but you can't make it just disappear because you need to keep your equation balanced. You're going to need to add 2x to both sides making your equation 5x = 360.
then you're going to divide 360 by 5 to get x = 72
subtract 72 (your angle) from 180 to get 108 which is your supplement.
If it's a bit confusing feel free to msg me and I'll do my best to explain it a bit better ^^;
