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2 years ago

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number

Mathematics

1 answer:

notsponge [240]2 years ago

6 0

Answer:

2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

x +1/x = 2 1/6

x^2 +1 = (13/6)x

6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

(6x -9)(6x -4)/6 = 0 . . . . factor

(2x -3)(3x -2) = 0 . . . . . . simplify a bit

x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

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Find the percent increase from 200 to 240

vlabodo [156]

Answer:

20%

Step-by-step explanation:

The percentage change can be found from ...

% change = ((new value)/(reference value) -1) × 100%

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2 years ago

The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones

cricket20 [7]

Answer:

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

$\hat{y}=46.587+5.080x$

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

$\hat{y}=46.587+5.080 \times 106$

$=585.1 \approx 585$

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.

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2 years ago

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number​

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number