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.

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.

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)

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

helpppp needed


tysm for everyone helping btw :)

i put points at 35 xx

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

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

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.

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%

help I don't understand​

I need 5

This is the picture..

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).

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

Pls give answers to these I will mark branliest

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.

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

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

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:

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?​

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?

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

hello please help i’ll give brainliest

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

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

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?

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

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

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

Please help fast!

Solve 2/3x-1/5>1

X>?

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.

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?​

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