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3 years ago

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer:

-n+1

Step-by-step explanation:

h(n)-g(n) =n+2-2n-1 ,collect like terms

n-2n+2-1 = -n+1

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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,

$y=3.84x-755.32$

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1 year ago

Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in inte

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Rich deposited $293 for 2 years at 2.5% simple interest rate

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3 years ago

Write a compound inequality that represents the evelation range for each type of plant life

Molodets [167]

Let E=elevation range
Low elevation=1700≤E≤2500
Mid elevation= 2500≤E≤4000
Sulbarine=4000≤E≤6500
Alpine=6500≤E≤14,410

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3 years ago

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (−5,−3). What is the vertex of the

Licemer1 [7]

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3 ... vertex (h , k) : (-5 , -3) y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

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2 years ago

What is the answer key to GO MATH 6grade page 393

Lina20 [59]

Answer:

This website is not an answer key website. You ask a question and we respond. Write your question and ill reply. Thanks for the points.

Step-by-step explanation:

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3 years ago

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)​

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)