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Elodia [21]
4 years ago
8

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A florist curre

ntly makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $___ . The florist will break-even after ______ one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (___,____).

Mathematics
1 answer:
Ganezh [65]4 years ago
7 0

Answer:

First space: 15

Second space: 20

Third space: 0

Fourth space: 20

Step-by-step explanation:

If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:

P(x) = (20 - x)*(30+3x)

P(x) = 600 +30x - 3x2

The vertical axis of the graph represents the profit P(x) of the florist.

So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15

Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)

The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.

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NemiM [27]

Answer:

22 laps

Step-by-step explanation:

Clara wants to run 5 1/2 miles, and the track is only 0.25 miles long. This is a fairly easy question, you just need to figure out how many times 5 1/2 goes into 0.25, because she wants to run that amount of miles (I could never run that much).

I hope that answers your question so you understand, and I hope you have a great rest of your day! :)

5 0
4 years ago
which expression represents purely real numbers and which expression represents non-real complex number?​
Ray Of Light [21]

Incomplete question. However, I provided some explanation about non-real complex numbers.

<u>Explanation</u>:

In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.

For example, the numbers 3i, 3 + 5i, 3i/4 are <u>non-real numbers</u> because of the addition of an imaginary part which is denoted by 'i'.

While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.

5 0
3 years ago
Can someone help please
11Alexandr11 [23.1K]

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

6 0
3 years ago
6x + 5y =4<br> 10x + 9y = 0
lord [1]

Answer:

make the first equation into only one variable so that you can substitute that one variable into the second equation and get your answer.

6X equals 4 - 5y

now substitute

x equals 2 by 3 - 5x 6y

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now multiply and simplify the second equation

20 / 3 - 5 6 y y equals 0

6 0
4 years ago
express each of the following in terms of Power's of 10. :10, 1000000, 10000000000, 1000000000000000, 1​
sattari [20]

Answer:

the amount of zeros in the numbers is the amount of times you will multiply by 10.

7 0
3 years ago
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