Answer:
33+15w=3w-w+4w
33+15w - 15w=3w-w+4w -15w
33 = 2w + 4w -15w
33 = 6w -15w
33 = -9w
33/9 = -9/9w
3.66 = w
Step-by-step explanation:
33+15w=3w-w+4w
33+15w - 15w=3w-w+4w -15w
33 = 2w + 4w -15w
33 = 6w -15w
33 = -9w
33/9 = -9/9w
3.66 = w
Sure I can help you.
First and foremost, your graph shows that the slope is 0 since the equation of this graph is y= 4. We can also say that whatever the input is, it will always give you the same output. Therefore the output is just the same all through out.
Hope this helps !
Photon
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
