Answer:
600
Step-by-step explanation:
cus
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
100 (10)
121 (11)
144 (12)
169 (13)
196 (14)
Candidate B is more likely to be elected because out of the sample, it had more votes than candidate A. It is safe to assume this because the number of undecided votes is quite small and not likely to go all to one candidate.
Answer:
The length of the diagonal of the frame equal 17 inches
Step-by-step explanation:
The diagonal dividing the rectangle as made the rectangle 2 triangles
So according to Pythagoras Theorem,
Hypothenus² = opposite² + adjacent²
The diagonal lent is the Hypothenus.
so the two other sides are taking as opposite and adjacent respectively
so taking h as hypothenus,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17
