Which shapes make up this composite figure?
1 answer:
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Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:
We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write
Thus, the simplified expression is 2x + 1
Answer:
x = 4.5
Step-by-step explanation:
there's definitely other ways to solve this, but I used a proportion.
Then you can make this equation:
14x = 3.5 * 18
I solved for it and got 4.5 .
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑
We have to find the values of x for which the series converges.
We know,
∑ converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
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