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frutty [35]
1 year ago
5

An online retail company determined that their cost for each day, x, can be determined by the function C(x) = 2x2 – 20x + 80 and

their revenue by the function R(x) = –x2 + 5x + 58. How many days will it take for the company to earn a profit?
Mathematics
1 answer:
sammy [17]1 year ago
7 0

The number of days the company earns a profit is the second day till the 7th day

<h3>How to determine the number of days the company earns a profit?</h3>

From the question, we have the following functions that can be used in our computation:

Cost function, C(x) = 2x2 – 20x + 80

Revenue function, R(x) = –x2 + 5x + 58

These functions can be properly represented as

Cost function, C(x) = 2x² – 20x + 80

Revenue function, R(x) = –x² + 5x + 58

When the company makes a profit, the revenue of the company exceeds the cost

This means that

R(x) > C(x)

Substitute the known values in the above equation, so, we have the following representation

–x² + 5x + 58 > 2x² – 20x + 80

Evaluate the like terms

–3x² + 25x - 22 > 0

Expand

–3x² + 3x + 22x - 22 > 0

Factorize the inequality

–3x(x - 1) + 22(x - 1) > 0

So, we have

(-3x + 22)(x - 1) > 0

This gives

-3x + 22 > 0 and x - 1 > 0

Evaluate

-3x > -22 and x > 1

Divide

x < 7.3 and x > 1

This can be combined as

1 < x ≤ 7

Hence, the company makes profit from the second day till the 7th day

Read more about profit functions at

brainly.com/question/25638609

#SPJ1

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The correct answer for this question is this one: "B. increase your scale values"

<span>When creating a scatterplot, if the points are too close together to see the relationship, You adjust your graph by </span><em>increasing your scale values</em>
Hope this helps answer your question and have a nice day ahead.
5 0
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Serhud [2]

The answer is X=4.

It is both parallel to x=-3 and passes through (4,2)

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For the equation, y=-x+4 tell whether its graph passes through the first quadrant. Explain how you know. Please help asap!
marysya [2.9K]
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4 0
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Please anyone help me The measure of an angle is five times the measure of its supplementary angle. What is the measure of each
Radda [10]

Answer:

150 and 30

Step-by-step explanation:

Hello!

Supplementary angles are angles that when added up equal 180

Which can be shown by

x + x = 180

Since one has to be 5 times bigger we put a 5 in front of one of the x's

5x + x = 180

5x is an angle and x is the other

Now we solve for x

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The following histogram presents the amounts of silver (in parts per million) found in a sample of rocks. One rectangle from the
gladu [14]

Answer:

  • <u><em>The height of the missing rectangle is 0.15</em></u>

Explanation:

The image attached has the mentioned <em>histogram</em>.

Such histogram presents the relative frequencies for the clases [0,1], [1,2],[2,3], [4,5], and [5,6] Silver in ppm.

Only the rectangle for the class [3,4] is missing.

The height of each rectangle is the relative frequency of the corresponding class.

The relative frequencies must add 1, because each relative frequency is calculated dividing the absolute class frequency by the total number in the sample; hence, the sum of all the relative frequencies is equal to the total absolute class frequencies divided by the same number, yielding 1.

In consequence, you can sum all the known relative frequencies and subtract from 1 to get the missing relative frequency, which is the height of the missing rectangle.

<u>1. Sum of the known relative frequencies</u>:

  • 0.2 + 0.3 + 0.15 + 0.1 + 0.1 = 0.85

<u>2. Missing frequency</u>:

  • 1 - 0.85 = 0.15

<u>3. Conclusion</u>:

  • The height of the missing rectangle is 0.15

4 0
2 years ago
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