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3 years ago

Find the equation of the tangent to the curve

Mathematics

1 answer:

12345 [234]3 years ago

4 0

9514 1404 393

Answer:

y = -x/16 +1

Step-by-step explanation:

The slope is at any point x is ...

y' = -4/x^2

so, at x=8, the slope is ...

m = -4/8^2 = -4/64 = -1/16

The point-slope form of the equation of the line is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Then the line with slope -1/16 through point (8, 1/2) is ...

y - 1/2 = -1/16(x -8)

y = -1/16x +1/2 + 1/2 . . . . . eliminate parentheses, add 1/2

y = -1/16x +1 . . . . . equation of the tangent line

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The ratio of men to women working for a company is 5 to 7. If there are 126 women working for the company, what is the total num

SIZIF [17.4K]

Answer:

There are 216 employees

Step-by-step explanation:

First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.

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3 years ago

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Answer:

5 1/24 pounds of apples will be leftover

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3 years ago

100 96 104 88 120 56 what is the next number in this series of numbers?

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3 years ago

Divide ₹960 between Manu and Swapna in the ratio 5: 7

il63 [147K]

Ratio gives the fractional division of a whole into a given portion. Manu's will get 400 while Swapna will get 560.

To divide 960 in the ratio 5 : 7

Sum the ratio = (5 + 7) = 12
Manu's share = 5 × (960/12) = 400

Swapna's share = 7 × (960/12) = 560

Therefore, Manu and Swapna's share is 400 and 560 respectively.

Learn more : brainly.com/question/13218948

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2 years ago

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You pay sales tax on your purchases at the rate of 0.07. What fraction of your money is this? Remember to reduce your fraction

Gemiola [76]

Answer:

This is $\frac{7}{100}$ of your money.

Step-by-step explanation:

We have a decimal number, and we want the answer to be a fraction. To transform a decimal number into a fraction, we multiply both the numerator and the denominator by 10 until none of them have decimal parts. So

$0.07\times \frac{10}{10} = \frac{0.7}{10}\times \frac{10}{10} = \frac{7}{100}$

This is $\frac{7}{100}$ of your money.

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3 years ago