Answer:
r ≥ -1. it is A because r is greater than or equal to -1.
I am sorry <u>if</u> I got it wrong.
Step-by-step explanation:
3r+2(12r+7) ≤ 5r-8
27r+14 ≤ 5r-8
I subtract 27r and 5r.
22r+14 ≤ -8
I subtract 14 and -8.
22r ≤ -22
Divide 22 on both side.
r ≥ -1
Answer:
43b. (-1, 2)
43a. (1, -3)
36b. Yes: (0,9)
Step-by-step explanation:
<u>43b</u>. x+y=1
-x+y=3
----------------------
2y=4 > y=2
2+x=1 > x=-1
check:
2(-1)+2=0
0=0
<u>43a</u>. can you figure this one out by yourself and then check it? If you can't I will show my work. The answer is above. :)
<u>36b</u>. y-(0)^2=9
y=9
Answer:

Step-by-step explanation:
<u>Given</u>:

The <u>sigma notation</u> means to find the sum of the given <u>geometric series</u> where the first term is when n = 1 and the last term is when n = ∞.
To find the <u>first term</u> in the series, substitute n = 1 into the expression:

The <u>common ratio</u> of the geometric series can be found by dividing one term by the previous term:

As | r | < 1 the series is <u>convergent.</u>
When a series is convergent, we can find its sum to infinity (the limit of the series).
<u>Sum to infinity formula</u>:

where:
- a is the first term in the series
- r is the common ratio
Substitute the found values of a and r into the formula:

Therefore:

Learn more about Geometric Series here:
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1? Isn’t it like a prime number