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arsen [322]
3 years ago
15

When is the sum of two rational numbers with different signs positive?

Mathematics
1 answer:
Delvig [45]3 years ago
7 0
When the sign of the number with the greatest absolute value is positive
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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
Aneli [31]
\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
5 0
3 years ago
Property in Live Oak County is assessed at $250,000,000. The taxes to be raised are $10,000,000. What is the tax rate?
vekshin1
4% on the taxes. 10mil/ 250 mil = .04
4 0
3 years ago
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How to solve <br> 6x - 17
AveGali [126]

Answer:

you can

Step-by-step explanation:

they are not like terms because the number 6 has and x next to it and 17 doesn't

6 0
3 years ago
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Meg scored 45, 48, and 56 points on three tests. How many points should she get on the fourth test to get an average score of 60
Diano4ka-milaya [45]
Hey it’s 91 have a great day
4 0
3 years ago
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in a test +3 marks are given for every correct answer and -1 for every incorrect answer Mary attempted all questions and scored
AVprozaik [17]

Answer:

10

20

Step-by-step explanation:

correct c=3 x 10

incorrect i=-1

-------

  • 3c-i=20
  • 3*10-i=20
  • i=10

incorrect= 10

number of questions= 10+10= 20

7 0
3 years ago
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