What is this equation x2 – 2x – 6 in vertex form?
1 answer:
You might be interested in
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 <u> 8 </u> 84.5 <u> 676 </u>
Total <u> 242 </u> <u> 10389 </u>
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Check the forward differences of the sequence.
If , then let
be the sequence of first-order differences of
. That is, for n ≥ 1,
so that .
Let be the sequence of differences of
,
and we see that this is a constant sequence, . In other words,
is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for in terms of
:
and so on down to
We solve for in the same way.
Then
and so on down to