Answer:
8/36= 2/9
Step-by-step explanation:
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
Answer:
slope of AB = Y2 -Y1/X2 -X1
=7 - 3/-5-(-5)
=4/-5 +5 = 4/0
= undefined ( a number divided by 0 is undefined)
slope of CD =9 -9/-10-1
= 0/-11
= 0
since AB is not equal to CD
THE LINES ARE PERPENDICULAR
Is there a graph or table for this question?
Answer:
Step-by-step explanation:
The table is
<u>Cups of Flour | Cups of Paste | Paste Mixture</u>
3 | 4 | 3:4
6 | 8 | 6:8 = 3:4
9 | 12 | 9:12 = 3:4
12 | 16 | 12:16 = 3:4
Correct option is 3:4 as per ratio of first column to second one