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

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:

work out the size of angle x 101 degrees and 38 degrees​

Answers

Answer:

the inside angle beside 101 is 180-101 = 79 degrees.

the angle beside x = 180-(79+38).

that is 63 degrees.

therefore the angle x = 180-63 that's

117 degrees

(will mark brainliest!!)

Answers

Answer:

the one with Heidy is the 3 one

the 6th one is E

Step-by-step explanation:

What is the Voter Registration Act and how does it affect Gerrymandering?

Answers

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 :)

7/10 -3/5 plz help me

Answers

it’s 1/10 I am pretty sure it’s that!!

the perimeter of square is 48cm.its area is​

Answers

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

The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%

Answers

28%
Surztisitstoxgztuatisiyxiysits

A new car is purchased for 21100 dollars. The value of the car depreciates at
10.5% per year. What will the value of the car be, to the nearest cent, after 6
years?

Answers

The car will be worth $7807

Answer:

10,844.78

Step-by-step explanation:

Is x + 1/2 = x - 1/2 true or false

Answers

Answer:

I believe it is false

Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?

Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso​

Answers

Answer:

3/2 or 1 1/2

Step-by-step explanation:

So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!

1/2 ÷ 3= 1/2 ÷ 3/1=1/2 •1/3=1/6
Each glass will have 1/6 quart of milk

Supplementary angles, please help! 1,2, and 3

Answers

Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

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

Use long division to find the value of 1,875 - 15​

Answers

Answer:

125

Step-by-step explanation:

Assuming 1875-15 means 1875/15

Wha is 65X12X13? Plzzzzzzz jlp

Answers

Answer:

65 x 12 x 13= 10,140

What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm

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

5. The value of an investement increased by 10%. The original amount of the
investment was $40.00. What is the current value of the investment?
Show your work
Please help me on this I need help

Answers

Answer:I Dont know about this one soryy

Step-by-step explanation:

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.

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?

Answers

Answer: 1672

explanation:              add 3% from each previous year to get to the 6th year            

Answer:

16717

Step-by-step explanation:

Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes

​

Answers

Answer:

29 1/31 minutes

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

Answers

i think AB is 3!!

i hope i’m right good luck ,:D

Answer:

∆EDA~∆ECB (AAA)

3÷ (15+3) = AB ÷ (12+AB)

AB = 2.4

Which statement correctly classifies this group of animals?

Answers

Answer:

The answer is A, All of the animals are vertebrates, and all are adapted to hot climate.

Step-by-step explanation:

Because i know for sure the owl has a backbone, and so does a puma and all live in hope weather so it has to be a

Construct a circle through points X, Y and Z.

Answers

pretty sure you just draw a circle
just draw a circle running through those points i think

math HELPPPO MEWEEE PLZZZZ

Answers

Answer:

63.5 is the correct answer

Find the measures of the complement and the supplement of an angle with measure 50°.
A. complement, 130°; supplement, 40°
B. complement, 40°; supplement, 130°
C. complement, 140°; supplement, 230°
D. complement, 230°; supplement, 140°

Answers

the correct answer would be B

Someone please help me on this problem.. :(

Answers

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

Please I need help it’s an emergency

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,

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]

So, the required angle is 35.39°.

Solve for x...............

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

x=17

3\5=6x=?\? i need help ​

Answers

X = 1/10 decimal form X=0.1 . I hope this helps.

Answer:

1/10

Step-by-step explanation:

3/5 = 6x = ?/?

?/? = 1/10

6x/6 = (3/5)/ 6 = 1/10



7) Find the value of x if the surface are is 216ft
​

Answers

Answer:

6 ft (not squared)

Step-by-step explanation:

SA = 6(6)(2) + 4(6)(x)

216 = 72 + 24x

144 = 24x

x = 6

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

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