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AleksandrR [38]
3 years ago
9

A manufacturer produces televisions. He estimates that by selling them for x dollars each, he will be able to sell 230 – 3x each

week.
Step 1 of 2: Determine what price will yield a maximum revenue. (Round your answer to two decimal places.)​
Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer:

Price per television =38.30

Step-by-step explanation:

Number of units sold in one week =230-3x

Price of one unit =x

Total money produced in one week =x(230 - 3x)

(Here it doesn't matter total money is taken for a week or day because after differentiating and equating to zero that factor disappear )

Differentiate total amount with respect to x.

\frac{dM}{dt}=230-6x

Now equate it equal to zero to get extremum.

230-6x=0

Then, x = 38.30

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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3
ArbitrLikvidat [17]
ANSWER

\boxed {( \frac{1}{2} , 1)}

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})

Using L(0,-3),N(1,5) gives,

(\frac{0+1}{2}, \frac{ - 3+5}{2})

(\frac{1}{2}, \frac{ 2}{2})

(\frac{1}{2}, 1)

Or we could have also used,M(-2,1),O(3,1) to get,

(\frac{-2+3}{2}, \frac{ 1+1}{2})

(\frac{ 1}{2}, \frac{ 2}{2})

(\frac{ 1}{2}, 1)

The correct answer is C

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3 years ago
50% of what number is 140?
babunello [35]

Answer:

The answer is 70

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Select the correct answer from each drop-down menu.
RSB [31]

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>

<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

\mathbf{a^2 = 2^2}

\mathbf{a^2 = 4}

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

\mathbf{if\ a^2 = 4,\ then\ a \ne 2}

An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

\mathbf{a = -2}

Hence, the complete statement could be:

<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

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Answer:

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Step-by-step explanation:

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2 years ago
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