Mathematics College

Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.

She writes the expression (−5)(50−2) to represent her profit based on the price per scarf,


Use the drop-down menus to complete the statements about Sofie's profit.

Sofie Makes And Sells Scarves. Her Profit Depends On What Price She Charges For A Scarf. She Writes The

Answers

Answer 1

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Answer 2

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

What is a parabola?

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{60}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{2^{2} *3*5}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

Learn more about parabola here:

https://brainly.com/question/5527217

#SPJ2

Related Questions

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Answer:

144

Step-by-step explanation:

48cm divided by 4 sides equals to 12cm.

Area equals to 12cm times 12cm which is equal to 144 cm square

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Step-by-step explanation:

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A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?

Answers

The bookstore has 4 copies left

Answer:

15

Step-by-step explanation:

60×1÷4=15(1/4)

60-15=45

45×2÷3=30(2/3)

45-30=15

A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map? ​

Answers

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

Given 10 shirts, 6 pants, and 4 pairs of shoes to choose from, how many different combinations containing 1 shirt, 1 pants, and 1 pair of shoes are there?​

Answers

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.Answer:

Step-by-step explanation:

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.

Pls help it's due tonight!!!
:((((((

Answers

i think AB is 3!!

i hope i’m right good luck ,:D

Answer:

∆EDA~∆ECB (AAA)

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5 cm
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Answers

Answer:

A = 28 cm

Step-by-step explanation:

equation:

A = [tex]\frac{a + b}{2} h[/tex]

A = [tex]\frac{4 + 10}{2} 4[/tex]

solve:

A = [tex]\frac{14}{2}4[/tex]

A = 7 x 4

A = 28 cm

A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?

Answers

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that [tex](A \cap B) = 24[/tex]

48 had watched an episode of Death Note

This means that [tex]B = 48[/tex].

We have that:

[tex]B = (B-A) + (A \cap B)[/tex]

In which B - A are those who watched only Death Note. So

[tex]48 = (B-A) + 24[/tex]

[tex](B-A) = 24[/tex]

35 members had watched an episode of Naruto

This means that [tex]A = 35[/tex].

[tex]A = (A-B) + (A \cap B)[/tex]

[tex]35 = (A-B) + 24[/tex]

[tex](A-B) = 11[/tex]

At least one:

This is

[tex](A \cup B) = A + B - (A \cap B)[/tex]

So

[tex](A \cup B) = 35 + 48 - 24[/tex]

[tex](A \cup B) = 59[/tex]

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

Answer:

i think it is (b) What percent of the club members had watched only Naruto?

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

3/2 or 1 1/2

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

θ = 35.39°

Step-by-step explanation:

Given that,

Perpendicular, P = 27

Base, B = 38

We need to find the value of angle. Let the angle be θ. So,

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So, the required angle is 35.39°.

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Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

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Answer:

1/10

Step-by-step explanation:

3/5 = 6x = ?/?

?/? = 1/10

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Answers

Answer:

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Answers

Answer:

65 x 12 x 13= 10,140

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Answers

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

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Answers

Answer:

125

Step-by-step explanation:

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Answers

Answer:

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therefore the angle x = 180-63 that's

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