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Alexus [3.1K]
3 years ago
6

The sum of 2 times a number and 5 times its reciprocal is 23/3. find the number(s).

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
Assume X is the number.
2X + 5 1/x = 23/3
3(2X² + 5) = 23X
6X² - 23X + 15 = 0

X = 3

Hope that helps you.
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svp [43]

Answer:

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Step-by-step explanation:

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(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf
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Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

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8 0
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Please help as soon as possible!
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Answer:

D

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The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

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