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strojnjashka [21]
3 years ago
7

Graph y=2x and y=2^x what x-values are solutions to the system?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

x = 1. 18=9(x+3). 18=9x+27. 9x=-9 x= -1 x. Page 10. 2. Graphing Linear Equations. Graph each of the following:

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The area of a rectangle is 168 square feet. The ratio of the width to the length is
nlexa [21]

Answer:

Width = 12 feet

Step-by-step explanation:

Given that,

Area of a rectangle is 168 square feet.

The ratio of the width to the length is  6:7.

Let the length is 7x and width is 6x.

According to question,

Area = 168 sq feet

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7x × 6x = 168

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x = 2

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Mars2501 [29]
An alternating series \sum\limits_n(-1)^na_n converges if |(-1)^na_n|=|a_n| is monotonic and a_n\to0 as n\to\infty. Here a_n=\dfrac1{\ln(n+1)}.

Let f(x)=\ln(x+1). Then f'(x)=\dfrac1{x+1}, which is positive for all x>-1, so \ln(x+1) is monotonically increasing for x>-1. This would mean \dfrac1{\ln(x+1)} must be a monotonically decreasing sequence over the same interval, and so must a_n.

Because a_n is monotonically increasing, but will still always be positive, it follows that a_n\to0 as n\to\infty.

So, \sum\limits_n(-1)^na_n converges.
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