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3 years ago

3. (5 + 2) = (3 . 5) + (3 . 2) *

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer:

C) Distributive Property

Step-by-step explanation:

You're distributing in the 3 when you multiply it by the 5 and the 2 in the algebraic process:

➦ ➦

3•(5 + 2) = (3 • 5) + (3 • 2)

So, the 3 was distributed between the 5 and 2 when you multiplied.

Hence, this is the distributive property.

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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,

$y=3.84x-755.32$

8 0

1 year ago

Anyone knows the answer?

antiseptic1488 [7]

Sorry no but you can search up the question on google and maybe try that

8 0

3 years ago

A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men

jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

Standard deviation= 2.8 inches

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= $\frac{x-mean}{standard\ deviation}$

z-score= $\frac{72-68.8}{2.8}$

⇒ z-score= $\frac{3.2}{2.8} = 1.14$

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= $0.8729\times 100$

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0

3 years ago

Do the expressions have only one term. write yes or no 1. x 2. p/4 3. 23-w

MrRa [10]

They all only have 1 term.

8 0

3 years ago

Find the inverse of the given relation.

Greeley [361]

Answer:

Step-by-step explanation:

first look at all the numbers in the relation.then since inverse means opposite find the answers where the numbers in the parenthesis are in the opposite order than the question. Finally look for the answer In which all the positive numbers in the parenthesis(in the given relation) are negative (on the answers)and the negative numbers (in the given relation) are positive (on the answers).

4 0

3 years ago