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Alik [6]
3 years ago
14

Which equation represents a linear function? y=4/x+1, y=2/3x -1/2

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

y = 2/3x - 1/2

Step-by-step explanation:

y = 2/3x - 1/2 is a linear function. It contains a slope and a y-intercept and every x value will produce a unique y value.

y = 4/x + 1 is a rational function, as it contains a fraction.  

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0.124<br><img src="https://tex.z-dn.net/?f=0.124five%20%5C%3A%20base%20%5C%3A%20two%20" id="TexFormula1" title="0.124five \: bas
Sveta_85 [38]

Let <em>x</em> be the number equal to 0.124₅, so that

<em>x</em> = 1•5⁻¹ + 2•5⁻² + 4•5⁻³

Multiply <em>x</em> by 5³ to convert it to a whole number:

5³<em>x</em> = 1•5² + 2•5¹ + 4•5⁰

Convert everything to base 2:

5³ = 125 = 64 + 32 + 16 + 8 + 4 + 1 = 1111101₂

1•5² + 2•5¹ + 4•5⁰ = 25 + 10 + 4 = 39 = 32 + 4 + 1 = 100111₂

Then

1111101₂ <em>x</em> = 100111₂

so that

<em>x</em> = 100111₂ / 1111101₂

I've carried out the first several steps in the division in the attached table, with more bits added to the result. The number in base 2 does not terminate. You end up with approximately

0.010011111101111100111...₂

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Step-by-step explanation:

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