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AleksAgata [21]
3 years ago
6

Income alone does not give the full picture of standard of living. Why not?

Advanced Placement (AP)
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

the long term, the U.S. standard of living has improved. Still, there are some vital numbers to watch. After five years of the poverty rate going down in the U.S., it rose in 2020. The official U.S. poverty rate was 10.5% in 2019, but in 2020 it was up to 11.4%.

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$163.20

Explanation:

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What kind of website allows people to see the correct answer on screen?
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Bing, then Google and IMDb

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It is recommed that a letter of recommendations for colege admission come from
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Teachers, counselors, and mentors who know you and your strengths well
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The term “knots" is used to describe what aspect of a ship?
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3 years ago
Find dy/dx if 3xy=4x+y^2
ElenaW [278]

Hi there!

We can use implicit differentiation with respect to x:

3xy = 4x + y^2

If a term with 'y' is differentiated, a 'dy/dx' must be included.

We can differentiate each term separately for the explanation.

<u>3xy</u>

We must use the power rule since 'x' and 'y' are both in this term.

Power rule:

f(x) * g(x) = f'(x)g(x) + g'(x)f(x)

3xy \\\\f(x) = 3x\\g(x) = y \\\\f'(x)g(x) + g'(x)f(x) = 3y + 3x\frac{dy}{dx}

Now, we can do the others.

<u>4x</u>

This is a normal power rule derivative.

f(x) = 4x\\f'(x) = 4

<u>y²</u>

Since we are not differentiating with respect to y, we must include 'dy/dx'.

f(x) = y^2\\f'(x) = 2y\frac{dy}{dx}

Combine the above:

3y + 3x\frac{dy}{dx} = 4 + 2y\frac{dy}{dx}

Rearrange to solve for dy/dx.

Move dy/dx to one side:

3x\frac{dy}{dx} - 2y\frac{dy}{dx} = 4 + 3y \\\\

Factor out dy/dx and divide:

\frac{dy}{dx}(3x- 2y) = 4 + 3y \\\\\boxed{\frac{dy}{dx} = \frac{4+3y}{3x-2y}}

3 0
2 years ago
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