Answer:
I think the answer will be:- m = 
. I'm not sure.
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, 
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
=
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' =
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
<h3>
Answer: 1</h3>
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
------------------------------
The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
Slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6
The first inequality matches the graph ! Hope that this helps :)
