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nevsk [136]
2 years ago
8

3x - 6 / x-2 simplify the rational expression

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
7 0

\bf \cfrac{3x-6}{x-2}\implies \cfrac{3(\underline{x-2})}{\underline{x-2}}\implies 3

Anettt [7]2 years ago
4 0

So we have the equation:

\frac{3x-6}{x-2}

Then we can talk out a common factor of 3 in the numerator:

\frac{3(x-2)}{x-2}

Since we have the term (x - 2) in both the numerator and the denominator (and in the numerator this term is being multiplied), we are able to cancel out these terms.

Therefore, the final answer is 3.

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A culture started with 6,000 bacteria. After 4
Oksanka [162]

19539 bacteria will be present after 18 hours

<u>Solution:</u>

Initial value of bacteria N = 6000

Value after 4 hours N_o = 7800

<em><u>The standard exponential equation is given as:</u></em>

N=N_{o} E^{-k t}

where

N is amount after time t

No is the initial amount

k is the constant rate of growth

t is time

Plugging in the values in formula we get,

7800 = 6000E^{-4k}

Solving for "k" we get,

\frac{13}{10}=E^{-4k}

Taking "ln" on both sides, we get

ln\frac{13}{10} = -4k

\frac{ln\frac{13}{10}}{4} = -k

On solving for ln, we get k = -0.0656

The equation becomes, N = 6000E^{0.0656t}

Now put "t" = 18,

N = 6000E^{0.0656 \times 18}\\\\N = 6000 \times 3.256 = 19539

Hence the bacteria present after 18 hours is 19539

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3 years ago
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Step-by-step explanation:

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2 years ago
What is the greatest common factor of 70 and 100?
Roman55 [17]
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Answer:

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Step-by-step explanation:

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