1. Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the

Need help with courseReplace 250 with 575 and -3 with -5.

Svetlanka [38]

Given

The demand function

$p(x)=\frac{250}{\sqrt{x}}-5$

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

$p(x)=\frac{250}{\sqrt{x}}-5$

a) The revenue function is given by,

$\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}$

b) The marginal revenue function is,

$\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}$

c) The marginal revenue when x=200 is,

$\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}$

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

$y=3.84x+c$

That implies, for y=12.68, and x=200,

$\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}$

Hence, the equation of tangent is,

$y=3.84x-755.32$

8 0

11 months ago

Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may displ

DIA [1.3K]

Answer:

See picture attached

Step-by-step explanation:

The graph of a non-proportional linear relationship is a line that does not cross through the origin. The graph of a proportional linear relationship does.

Given the general expression of a line: y = ax + b, where a and b are constants, if b is equal to zero, the line cross through the origin, otherwise the line inercept y-axis at value of b.

Direct variation means that y = kx, where k is a constant, then is a proportional linear relationship.

Given a cell phone company charges $19.95 per month for the first 2G, then $5 per gig over the initial 2G; the graph is a non-proportional linear relationship because the cost is never zero and the graph does not cross through the origin.

Given a cell phone company charges $29.95 per month always, then the cost is never zero and the graph does not cross through the origin.

8 0

2 years ago

Please help ASAP! THANKS<br>WILL MARK BRAINLIEST

lara31 [8.8K]

Answer:

square root of 1

Step-by-step explanation:

Try it.

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3 years ago

Which best describes Imara’s error?

Sati [7]

<h2>Answer:</h2>

The statement that best describes Imara's error is:

Option: D

D). She did not find the side lengths of the square with an area of 625.

<h2>Step-by-step explanation:</h2>

Imara correctly did the previous calculation.

i.e. she correctly determined the area of square with side length 20 units (as 400 square units) and 15 units (i.e. 225 square units)

But when she sum the area of two squares then it won't give the length of hypotenuse it would give the area of a square.

Hence, the correct answer is:

Option: D

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2 years ago

Marcos charges $6 an hour to work in his neighborhoods gardens. Complete the graph to show proportional relationship of the amou

NISA [10]

Answer:

120

Step-by-step explanation:

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3 years ago