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sergiy2304 [10]
3 years ago
11

Pls help this is a major test so pls don’t guess

SAT
2 answers:
Mrac [35]3 years ago
6 0
The answer is $15.25
guapka [62]3 years ago
5 0

Answer:

(A) 15.25

Explanation:

I used a calculator 6.10x2.5=15.25

                                                      hope it helps

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The point (−2,4) lies on the curve in the xy-plane given by the equation f(x)g(y)=17−x−y, where f is a differentiable function o
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The value of \frac{dy}{dx} is -3. \blacksquare

<h2>Procedure - Differentiability</h2><h3 /><h3>Chain rule and derivatives</h3><h3 />

We derive an expression for \frac{dy}{dx} by means of chain rule and differentiation rule for a product of functions:

\frac{d}{dx}[f(x)\cdot g(y)] = [f'(x)\cdot \frac{dx}{dx}]\cdot g(y) + f(x) \cdot [g'(y)\cdot \frac{dy}{dx} ]

\frac{d}{dx}[f(x)\cdot g(y)] = f'(x)\cdot g(y) +f(x)\cdot g'(y)\cdot \frac{dy}{dx} (1)

If we know that f(x) \cdot g(y) = 17-x-y, f(-2) = 3,<em> </em>f'(-2) = 4,<em> </em>g(4) = 5 andg'(4) = 2, then we have the following expression:

-1-\frac{dy}{dx} = (4)\cdot (5) + (3)\cdot (2) \cdot \frac{dy}{dx}

-1-\frac{dy}{dx} = 20 + 6\cdot \frac{dy}{dx}

7\cdot \frac{dy}{dx} = -21

\frac{dy}{dx} = -3

The value of \frac{dy}{dx} is -3. \blacksquare

To learn more on differentiability, we kindly invite to check this verified question: brainly.com/question/24062595

<h3>Remark</h3>

The statement is incomplete and full of mistakes. Complete and corrected form is presented below:

<em>The point (-2, 4) lies on the curve in the xy-plane given by the equation </em>f(x)\cdot g(y) = 17 - x\cdot y<em>, where </em>f<em> is a differentiable function of </em>x<em> and </em>g<em> is a differentiable function of </em>y<em>. Selected values of </em>f<em>, </em>f'<em>, </em>g<em> and </em>g'<em> are given below: </em>f(-2) = 3<em>, </em>f'(-2) = 4<em>, </em>g(4) = 5<em>, </em>g'(4) = 2<em>. </em>

<em />

<em>What is the value of </em>\frac{dy}{dx}<em> at the point </em>(-2, 4)<em>?</em>

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Based on the excerpt, President Jimmy Carter made reference to the meeting he had with various leaders on the energy crisis.

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In this scenario, the United States of America had an energy crisis while Jimmy Carter was the president. Thus, President Jimmy Carter gave a speech on the 15th of July, 1979 to address the citizens of the United States of America on their energy crisis through a live TV broadcast.

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One of the examples from the text that can be regarded as clear, logical and sincere is:

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The president used the words such as revive to show that the nation was still capable of enduring and coming out of the dark times that they were in.

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