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3 years ago

14

Which of the following represent a linear inequality in open-sentence form? (Select all that apply.) 2x - 7y > 10, 3 < 5,

2x + 8 = 10y, 8 + x > 5

2 answers:

IrinaK [193]3 years ago

6 0

The answer would be 8 + x > 5.

Hope this helps! :)

nignag [31]3 years ago

4 0

Answer: 2x - 7y > 10

&

8 + x > 5

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Step-by-step explanation:

This is an <em>infinite geometric series</em>. This has a sum of $\frac{a}{1-r}$

Where

a is the first term, and

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Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

<u />

<u>First term:</u>

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<u>Second term:</u>

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}$

<em>Let's see the common ratio: $\frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}$ </em>

<em />

<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>

<em> $s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4$ </em>

<em />

<em>So, </em><em>the answer is 4</em>

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