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Firdavs [7]
4 years ago
14

D%7B%20%5Csqrt%7Bx%5E2%20-%204%7D%20%2B2%7D" id="TexFormula1" title=" \lim_{x \to \00} \frac{ \sqrt{ x^{2}+ 16 } -4}{ \sqrt{x^2 - 4} +2}" alt=" \lim_{x \to \00} \frac{ \sqrt{ x^{2}+ 16 } -4}{ \sqrt{x^2 - 4} +2}" align="absmiddle" class="latex-formula">
This is a 30 point offer. Please answer it fully and explain how you solved it.
Mathematics
1 answer:
Studentka2010 [4]4 years ago
3 0
\lim_{x \to 0}\frac{-4 + \sqrt{x^{2} + 16}}{2 + \sqrt{x^{2} - 4}}
\lim_{x \to 0}\frac{4 + \sqrt{(0)^{2} + 16}}{2 + \sqrt{(0)^{2} - 4}}
\lim_{x \to 0}\frac{4 + \sqrt{0 + 16}}{2 + \sqrt{0 - 4}}
\lim_{x \to 0} = \frac{4 + \sqrt{16}}{2 + \sqrt{-4}}
\lim_{x \to 0} = \frac{4 + 4}{2 + 2i}
\lim_{x \to 0} = \frac{8}{2 + 2i}
\lim_{x \to 0} = \frac{2(4)}{2(1) + 2(i)}
\lim_{x \to 0} = \frac{2(4)}{2(1 + i)}
\lim_{x \to 0} = \frac{4}{1 + i}
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I need help :/ i have five questions
IrinaK [193]

Answer:


Step-by-step explanation:

1. The given equation is:

\frac{3}{5}{\times}\frac{4}{5}

Multiplying both the terms, we get

\frac{12}{25}

Option A is correct.

2. The given equation is:

2\frac{1}{3}{\times}\frac{3}{4}

Converting the improper fraction into the mixed fraction,

\frac{7}{3}{\times}\frac{3}{4}

=\frac{7}{4}

Option C is correct.

3. The given equation is:

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Multiplying both the terms, we get

=\frac{1}{28}

4. The given equation is:

3\frac{8}{9}{\times}4\frac{4}{5}

Converting the improper fraction into the mixed fraction,

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4\frac{2}{3} packages contains=4\frac{2}{3}{\times}5\frac{1}{4} pounds of raisins.

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5 0
4 years ago
Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they ad
Ivenika [448]

Answer:

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Step-by-step explanation:

Assume three consecutive number are,

x , (x+1) , (x+2)

Multiplied by 2 ,3 and 4 respectively

2x , 3(x + 1) , 4(x + 2)

Sum of all = 74

So,

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2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 63

x = 7

So,

x , (x+1) , (x+2)

7 , (7+1) , (7+2)

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3 years ago
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irakobra [83]

Answer:

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Step-by-step explanation:

You have to find two numbers (in the chart) that have a difference of 3/8.

This is just one possiblity, there are other correct answers.

There is size 5 and 6. 9 and 4/8-9 and 1/8=3/8.

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