A company that sells yoga mats estimates its annual profit using the equation below, where x represents the wholesale price in dollars of 1 yoga mat, and P = annual profit in thousands of dollars.
P = 10x? - 280x + 1,600 When the expression on the right side of this equation is factored completely, which best describes the meaning of the factors?
The annual profit is zero at a wholesale price of $80 and zero at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and maximized at a wholesale price of $20.
The annual profit is zero at a wholesale price of $80 and maximized at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and zero at a wholesale price of $20.

Answers

Answer 1

Answer: (d)

Step-by-step explanation:

Given

Annual profit is given by

[tex]P=10x^2-280x+1600[/tex]

When it is factored then,

[tex]\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20[/tex]

On factorization, we get that annual profit is zero at a whole prize of $8 and $20.


Related Questions

R and S represent positive integers on a number line
and R< S. Which of the following could be the
positions of R and S?

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

S is greater than R and they say they are both postive so it has to be on the right side of zero on the number line

The length of a rectangle is 9 centimeters more than half
the width. Find the length if the perimeter is 60 centimeters.

Answers

Answer:14 width length 16

Step-by-step explanation: 14 is the width if u double it you get 28 and yo need 32 more so 14 / 2 + 9 = 16 and double that gets 32 soo boom

Help? I don’t understand it mainly cause HOW ARE YOU SUPPOSED TO

Answers

Answer:

83

supplementary is two angles that add up to 180 so 180 - 97= 83

I need 5

This is the picture..

Answers

Answer:

What are the options?

CPCT?

Ms. Gonzales is investing $17000 at an annual interest rate of 6%
compounded continuously. How much money will be in the account after
16 years? Round your answer to the nearest hundredth (two decimal
places).

Answers

Answer:

$30444.41

Step-by-step explanation:

→ Work out compound interest

(100 + 6) ÷ 100 = 1.06

→ Multiply the amount by the money

17000 × 1.06

→ Find how many years it is for

17000 × 1.06¹⁰ = 30444.41

Which of the following are parallel to
y = 3x – 2
(Choose all that apply)


y = 5 – 3x

Y= 3x

y = 3x – 1

y = 3x – 4

y = -3x

Answers

y = 3x
y = 3x - 1
y = 3x - 4

i’m pretty sure in order for lines to be parallel, they have to have the same slope but different y- intercepts

Answer:

y=3x-1,y=3x-4

Step-by-step explanation:

y=mx+c

where is gradient, parallel lines have same gradient

y=5-3x

=-3x+5

m=-3

y=-3x

m=-3

y=3x-1

m=3 ,the gradient is equal to the original equation

y=3x-4

m=3,the gradient also equal to the given equation

A large bag of marbles contains red (R) and blue (B) marbles. Marbles are pulled one at a time, recorded, and placed back in the bag. Estimate the percentage of blue marbles in the bag.
R R R B R R R R R R B R R R B

A. 60%


B. 80%


C. 25%


D. 20%

Answers

The answer will be A.

Answer: 20%

Step-by-step explanation:

3/15= 1/5= 20%

5k(k-9)=0 solve for k

Answers

Step-by-step explanation:

5k²-45= 0

5k²= 0 +45

k²= 45/5

k²= 9

or

k = 9/2 = 4.5

A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble find the probability of selecting a white marble in the first draw and a red marble in the second draw

Answers

Answer:

Answers

Selecting a green marble on the second

draw if the first marble is blue.

Answer:

Selecting a white marble on the first

draw and red marble on the second

draw.

Answer:

Selecting a red marbles on both draws.

Answer:

Selecting a red or white on the first

draw and green or blue on the second

draw.

Answer:  

Selecting a white marble on the first

draw and a white or blue on the second

draw.

Step-by-step explanation:

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Answers

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

Pls give answers to these I will mark branliest

Answers

Answer:

I can answer the first 5 for you :)

1: 1,019,536

2: 892,850

3:20,215,692

4:274,728

5:227,376

Have a great day!!!!

A teacher is interested in students' opinions about an upcoming school dance. Which of the following techniques
uses systematic random sampling?
Survey the first 10 students who arrive.
Survey every 10th classroom as the teacher walks down the hallway.
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th
student after that
O Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other
boy and every other girl after that.

Answers

Answer:

think its c but not sure

Step-by-step explanation:

 because it repeats its self to get i sample

Answer and Step-by-step explanation: yes it's C i got it right so did the person above me

The number of guests, g, coming for dinner
is not 8

Answers

Answer:

g < 8

rip 5 days ago

Can sides of a triangle have lengths 1, 13, and 14 ???

Answers

Answer: Yes it can!

Step-by-step explanation:

This is called a scalene triangle, where all 3 sides are different lengths.

hello please help i’ll give brainliest

Answers

It’s B) Ayurveda. Ayurveda offers a complete system to live a long healthy life and it’s also called the science of longevity.

A store at the mall is having a sale of 30% off all coats, "c". The expression 0.7c describes the discounted price in dollars for a coat. Which expression also describes the discounted price in dollars, for a coat?
A. 0.7c
B. c - 0.7c
C. c - 0.3c
D. c - 0.3

Answers

Answer:

c

Step-by-step explanation:

A bookcase contains these books. 36 cookbooks 17 autobiographies
39 novels 22 reference books One book is selected at random from the bookcase. Based on the information, which statement is true?
A The book is twice as likely to be a cookbook as a reference book.
B The book is just as likely to be a novel as it is to be an autobiography or a reference book.
C. The book is more likely to be a cookbook than a novel.
D. The item is half as likely to be a reference book as a novel.

Answers

Answer:

A

Step-by-step explanation:

If 25 percent of your classmates have cats, and your class has 20 students, how many students have cats? (I have to show my work)

Answers

Answer:

5 students.

Step-by-step explanation:

25% is a quarter of the amount, or 1/4. A quarter of 20 is 5, since 4 times 5 is 20. So 5 students have cats.

Which number line shows the solution to the inequality 4x + 5 >9?

Answers

Answer:

C.

Step-by-step explanation:

help I don't understand​

Answers

Answer:

Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.

Step-by-step explanation:

Have a nice day!

A triangle has sides with lengths of 12 centimeters, 16 centimeters, and 20 centimeters. Is it a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

The bases are right triangles with side lengths of 12 centimeters, 16 centimeters, and 20 centimeters.

Answer:

yes

Step-by-step explanation:

If you use the formula [tex]a^{2} +b^{2} =c^{2}[/tex] you get 20 which confirms that is a right triangle

Please help fast!

Solve 2/3x-1/5>1

X>?

Answers

Answer:

x > 9/5

Step-by-step explanation:

2/3 x - 1/5 > 1

15 × 2/3x - 15 × 1/5 > 15 × 1

10x - 3 > 15

10x > 18

x > 18/10

x > 9/5

The weight of 4 eggs is shown. Identify the constant of proportionality of total weight to number of
eggs.
The weight of 4 eggs is 188 g

Answers

Answer:

47g

Step-by-step explanation:

helpppp needed


tysm for everyone helping btw :)

i put points at 35 xx

Answers

Answer:

10ft.

Step-by-step explanation:

1yd = 3ft.

3yd = 9ft. + 1ft= 10ft.

Answer:

I think the answer is 3.04800

or just 10ft.

If the number of bacteria in a colony doubles every 27 hours and there is currently a population of 2,000 bacteria, what will the population be 54 hours from now?

Answers

6,000
starts at 2,000
27 hours: 4,000
54 hours: 6,000

3. Adam bought 3 pens and 4 pencils for $4.25. Lily bought 2 pens and 6 pencils for $4.50. How much is a pen? a pencil?​

Answers

Make two equations
Let x = pen
Let y = pencil
3x + 4y = 4.25
2x + 6y = 4.50
Make both coefficients equal
(3x + 4y = 4.25) * 2
(2x + 6y = 4.50) * 3
6x + 8y = 8.5
6x + 18y = 13.5
Subtract both sides
-10y = -5, y = 0.50
3x + 4(0.50) = 4.25
3x + 2 = 4.25
3x = 2.25, x = 0.75

Pen = $0.75
Pencil = $0.50

Dillon deposited 3/4 of his paycheck
into the bank. The deposit slip shows how much he deposited.($46.50)
Write and solve an equation to find the amount of his
paycheck.
Equation:
Solution:

Answers

Answer:

His paycheck was $62.

Step-by-step explanation:

3/4 x = 46.5

x = 46.5 * 4/3

x = 62

Equation: 3/4 x = 46.5

Solution: x = 62

Last night, Jasmine and her family went out for dinner. The questions below came up on their way to the restaurant or during the meal. Decide whether or not each question is a statistical question. Select all that apply.
●How far are we from the restaurant?
●How long will it be until we get there? ●Would you rather have burgers or pizza?
●How much should we leave for the tip? ●What was the most frequently ordered dish in the restaurant this evening?
●Did you like the pizza tonight?
●Which table's bill was the highest?
●How many people were sitting at each table this evening?​

Answers

A statistical question is a question where the data collected can vary.

Ex. Statistical - "How old are the students in my class?" The data can vary based on which student you ask.

The following questions are statistical:

●Would you rather have burgers or pizza?

●How much should we leave for the tip?

●Did you like the pizza tonight?

●How many people were sitting at each table this evening?

These questions can vary based on who you ask or where you look

I hope this was helpful! =)

Someone please help me, use a variable to represent the situation, and solve the equation using inverse operations.

The length of an average toucan is about two thirds the length of an average macaw. Toucans are
about 24 in. long.

Answers

Answer:

36 in

Step-by-step explanation:

T= toucan

M= macaw

T= 2/3M

T= 24

24= 2/3M

72=2M

36= M

Length of macaw be x

24=2/3(x)2x=72x=72/2x=36in

There are 645 students at Tech Middle School, and
20% of the students are th graders, How rising
Students are 7th graders? ?

Answers

Answer:

.20

Step-by-step explanation:

The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).

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