Answer:
Step-by-step explanation:
x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9
x⁴ + 3x³
<u>- - </u>
-3x³ - 6x²
-3x³ - 9x²
<u> + + </u>
3x² + 0x
3x² + 9x
<u> - - </u>
-9x -28
-9x - 27
<u> + + </u>
-1
P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)
A number line consists only of one axis, conventionally a horizontal axis. Just create a line, and scale it according to practicality and your preference. Usually, it has an interval of 1 unit. But for this case, since it is in fraction form, the interval should be smaller so that you can see clearly where it is located.
In decimal form, 13/17 is equal to 0.7647058824. Let's just round this off to 0.764, that can suffice already. So, you would expect it to be between 0.7 and 0.8 on the number line. Just estimate visually where it is located. Since, it is more than 0.75, the dot would be just slightly closer to 0.8 than 0.7. The exact location is shown in the attached picture.
3. y=-2/3x-4
4. y=4
5. y=x+5
Answer:
Step-by-step explanation:
Use the zero-interval test [test point (0, 0)] to verify them as false or true, and to determine whether we shade the shared opposite portions [a shared portion that does NOT contain the origin] or the shared portions that DO contain the origin:

![\displaystyle 0 < -3[0] - 2 → 0 ≮ -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3C%20-3%5B0%5D%20-%202%20%E2%86%92%200%20%E2%89%AE%20-2)
So, this system will be shaded in a shared opposite portion.
*NOTE; Both inequalities have an identical y-intercept of
so both inequalities must intersect the y-axis at
and since there are already lines labeled as <em>dashed</em><em> </em>and solid, we do not have to worry about it in this case.
** None of the other graphs match this, so the bottom right graph has to be it, considering it cut off.
I am joyous to assist you anytime.