Answer:
[/tex]
Step-by-step explanation:
The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence
the generating function would be
we can multiply P(x) by x to get
Note that
which for 
can be rewritten as
9514 1404 393
Answer:
(6,2)
Step-by-step explanation:
As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.
When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...
X' = (6, 2)
_____
<em>Additional comment</em>
X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...
X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)
Answer:
∠3 = 107°
Step-by-step explanation:
Similar to the other question, ∠3 and ∠4 are supplementary and add up to 180 degrees as they make up the entirety of a straight line.
∠4 is 73°, so ∠3 has to be 107°.
Answer:
an individual's financial irresponsibility may affect them
