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xeze [42]
3 years ago
7

A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se

lling one more item if 50 are currently being sold?
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

\frac{\textup{dR}}{\textup{dx}}= \frac{\textup{d(12x)}}{\textup{dx}}

or

slope = 12

Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function

therefore,

R = 12 × 1 = 12 dollars

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Andrews [41]
Set up an equation when x is the cost of a book. If we know that 45 + 5 = 50:
45x = 50(x - .1)      
Now, multiply across the parentheses:
 45x = 50x - 5           (Now, combine terms over the equal sign)
-50x   -50x
 -5x = -5                     (Now, divide off the -5 from both sides)
/-5    /-5
x = 1
This means that the current cost of a book is <em><u>$1.</u></em> This works out if you test it.
Hope this helps!
~<em>ArchimedesEleven</em>
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4 years ago
A parabola is represented by the equation y=x^2+6x-17
Andre45 [30]
There's 2 types of intaglio printing etching and engraving what's the primary difference between the 2

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B - the artist carves the design directly in engraving while in etching its done by using cut into the plate
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3 years ago
Please help me with this question
raketka [301]
A squared equals c.
7 0
2 years ago
Find the Derivative.<br> f(x) = -xcos3x
DENIUS [597]

Answer:

\frac{d}{dx}(-xcos3x)=  3x \ sin(3x)- cos(3x)

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

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

In the function we are given, f(x)=-x \cos3x, we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

  • -x \\   $cos 3x

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

  • \frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)

Now let's apply the product rule to f(x) = -xcos3x.

  • \frac{d}{dx}(-xcos3x)=  (-x)(-3sin3x) + (-1)(cos3x)

Simplify this equation.

  • \frac{d}{dx}(-xcos3x)=  (x)(3sin3x) - (cos3x)

Multiply x and 3 together and remove the parentheses.

  • \frac{d}{dx}(-xcos3x)=  3x \ sin(3x)- cos(3x)

Therefore, this is the derivative of the function f(x)=-xcos3x.

3 0
3 years ago
Read 2 more answers
Convert the following angle from degrees to radians. Express your answer in simplest
vlada-n [284]

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

6 0
3 years ago
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