A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships where no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships where no profit is made.

Answers

Answer 1

Answer:  C.) x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit. Is not the answer

Step-by-step explanation: I took the test and got it wrong. I don't know what the answer is.

Answer 2

x = 6, x = 12; The zeros represent the number of monthly memberships that produce a maximum profit. The correct option is C.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that a local gym sells monthly memberships. The function f(x) = −x² + 18x − 72 models the daily profit in dollars.

The given quadratic equation is solved by equating the function to zero:-

−x² + 18x − 72 = 0

x² - 18x + 72 = 0

x² - 12x -6x + 72 = 0

x ( x -12 ) -6 ( x -12 )= 0

( x - 12 ) ( x - 6 ) =0

x = 12, 6

Therefore, x = 6, x = 12; The zeros represent the number of monthly memberships that produce a maximum profit. The correct option is C.

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Related Questions

HEEEEEEEEELLLLPPP EASY
The number of story books owned by eight classmates is shown below:

8, 9, 9, 7, 8, 6, 9, 8

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

Part A: The mean is 8  (count the number in the data set which is 8 then add the numbers which is 64 then divide by 64 by 8 which is 8)

Part B: Absolute Deviation= 0  

shown work for part B:      (subtract each number by the mean)

8-8+9-8+9-8+7-8+8-8+6-8+9-8+8-8=0

(then divide sum by mean) 0 divided by 8 = 8

Step-by-step explanation:

plz can i get Brainliest i tried my best and worked very hard

The number of storybooks owned by eight classmates is shown below: 8, 9, 9, 7, 8, 6, 9, 8. The mean is 8 and Absolute Deviation= 0.

How to find the mean value of a data set?

The mean value of the data set is the ratio of the sum of the data set's values to number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

The number of storybooks owned by eight classmates is shown below:

8, 9, 9, 7, 8, 6, 9, 8

Part A:

[tex]\overline{x} = \dfrac{ 8+ 9+ 9+ 7+ 8+ 6+ 9+ 8}{8}[/tex]

Therefore, The mean is 8

Part B: Absolute Deviation= 0  

subtract each number by the mean

8-8+9-8+9-8+7-8+8-8+6-8+9-8+8-8=0

(then divide sum by mean) 0 divided by 8 = 8

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Math, I need help. . .

Answers

Answer:

How do you do it? I can help solve

Step-by-step explanation:

I have no clue I’m in algebra I forgot everything in middle school

Jacinta compares the volume of two boxes. Both boxes have a width of 2.5 inches, and a height of 10 inches. The larger box has a length of 8 inches. what is the volume of the larger box

Answers

Answer:

200 in ^3

Step-by-step explanation:

10 x 8 x 2.5 = 200

(no links [repost})
Given that there is one possible outlier. if the outlier was removed from the data set, how would it effect the measures of central tendency? {8, 73, 74, 75, 79, 85, 85, 92, 94}

O Mean increases median decreases
O Mean decreases median increases
O Both mean and median increase
O Both mean and median decrease

Answers

Answer:

A

Step-by-step explanation:

the mean increase and median decreases

there is a bag of 3 apples, 2 oranges, and 2 bananas. you select a fruit without looking and keep it. then you hand the bag to your friend to do the same. what is the probability that you both choose oranges. pls help me!

Answers

Answer:1/7 chance

Step-by-step explanation: 2/7 chance for each, the probability that both are pulled is cut in half, so 1/7

can someone find da slope? (no links btw or i will report u)

Answers

Answer:

in question 7 there is a slope

coz it starts from y axis and touches the x axis

so in this way it makes a slope

Answer:

7 has a slope

ANSWER ASAP GIVING BRAINLIEST AND OTHER STUFF!
Please answer the following essay question with 5 or more sentences:
What are the advantages of taking a random sample instead of surveying an entire population?

Answers

Answer:

Simple random sample advantages include ease of use and accuracy of representation. No easier method exists to extract a research sample from a larger population than simple random sampling.

Step-by-step explanation:

Answer:

Simple random sample advantages include ease of use and accuracy of representation. No easier method exists to extract a research sample from a larger population than simple random sampling.

Step-by-step explanation:

if i tossed a coin two times and the results are heads and heads. What is the probability in fraction form?

Answers

Answer:

Hshhsbsbzbzbxbdbdbddns

At his favorite restaurant, Dylan orders a soda with his dinner. The ice in his drink has a mass of 6 g and a volume of 20 cm3. What is the density of the ice? Explain the steps you took to solve this problem.

Answers

Answer:

0.3

Step-by-step explanation

The formula to find density is m/v=p

m=mass

v=volume

p=density

---------------------------

All we have to do is plug in 6g and 20cm^3

This will give us 6/20 which simplifies to 3/10

With this you can easily figure out that the decimal for 3/10 is 0.3

So the density of the ice is 0.3

Hope this helped!

IF ANSWERED CORRECTLY WILL GIVE BRAINLIEST BUT IF YOU GIVE ME PDFS OR LINKS I WILL REPORT YOU
5. Out of 1000 7th graders, 15 were sampled to find their favorite subject.
Inference: No students describe math as their favorite subject.

Defend or challenge the inference with at least two complete sentences.




History

4

Math

0

English

9

Science

2

Answers

I agree with this because first of all I personally don’t like math as a subject. And second of all a lot of people believe math is the hardest or most boring subject

Answer:

Defend

some people are intimidated or some people just cant understand math fully and feel challenged due to it and sometimes when people get math wrong they lose self confidence in this subject

Step-by-step explanation:

Well I thought of reason of why people don't like math and added reasons

During production, a manufacturer of clock radios pulls every 75th radio from the assembly line to check for overall quality.
a. Biased, voluntary response sample
b. Unbiased, stratified random sample
c. Unbiased, systematic random sample
d. Unbiased, simple random sample

Answers

Answer:

Unbiased, systematic random sample Or C

Step-by-step explanation:

Answer:

your answer is C

Step-by-step explanation:

Just took it

ummmm, what?????? could i get some nice help

Answers

Answer:

It is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can you answer this question correctly?
The area of the smaller hexagon is 38cm^{2}[/tex]

What is the area of the larger hexagon?
How many little hexagons can fit into the larger one?

Answers

Answer:

i think 3 hexagon can fit into the larger one

the area of the larger hexagon is 114 cm^2

CAN SOMEONE HELP MEEEE????

Answers

first bar: 4(high),21(across)

second bar: 9(high),22(across)

third bar: 12(high),14(across)

i’m honestly just trying to answer random ones to get points

What is 2/3 ÷ x = 0
Please tell me lol

Answers

Answer:

x would be 0 since the answer is 0

Step-by-step explanation:

Should be 0. Pemdas helps with these type of work problems

Find the area of the shaded region

helpp!!

Answers

Answer:

1. 116 m

2. 60 cm

Step-by-step explanation:

1. The total area is 12*10 m, or 120 m. The area of the non-shaded region is 7*2 m, or 14. Subtract 14 from 120 to get 116.

BTW the side 12 looks like it is less than the 10, the question is not lengthed properly, just saying

2. A bit trickier, divide the question into 2 parts, a triangle and rectangle.

The rectangle is 12*4 cm, or 48 cm, the triangle is 12 - 3 - 3 = 6 and 8 - 4 = 4

So we use 6 and 4. The area of a triangle is 1/2b * h, half of the base times the height, the base is 6 cm, and the height is 4 cm, 1/2(6) * 4 = 3*4 = 12 cm

48 + 12 = 60 cm

Identify the number or numbers that are equivalent to a terminating decimal.

Answers

The answer is C, hope this helped!!<3

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5660 and his stock in Company B was worth $2500. The stock in Company A has increased 5% since last year and the stock in Company B has increased 9%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

8,160.. but rounding would be 8170 sooo both increased by 5 and 9 percent would be 1270 and 1507 !

The total percentage increase in the investor's stock account will be 8.6%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The amount he earned from company A and company B is given as,

Earned = $5660 x 0.05 + $2500 x 0.09

Earned = $283 + $225

Earned = $508

Then the total percentage increase in the investor's stock account is given as,

P = [(508) / (5660 + 2500)] x 100

P = (508 / 5910) x 100

P = 0.086 x 100

P = 8.6%

The total percentage increase in the investor's stock account will be 8.6%.

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Help me please dew in 5

Answers

Can you plz take a better pic it’s hard to see

Answer:

c d and e ar correct

Step-by-step explanation:

The mark-up on iPhone X's is 250%. If an iPhone costs $200 to make, how much will Apple sell the phone for to make a profit?
A. $500
B. $50
C. $700
D. $300

Answers

Answer:

$700 (C)

Step-by-step explanation:

The markup on the phone will be 2.5 * $200 = 500. Then, we add $200 onto that to get $700 total.

Can any1 answer this?If u can i get it right i put brainliest :)

Answers

the first one is the right one i believe

Driving Your brother and sister took turns driving on a 635-mile trip that took 11 hours to complete. Your brother drove at a constant speed of 60 miles per hour and your sister drove at a constant speed of 55 miles per hour. Let x be the number of miles your brother drove and let y be the number of miles your sister drove. Solve the linear system x + y = 11 and 60x + 55y = 635 to find the number of miles each of your siblings drove. Show your work.

Answers

Answer: The brother drove 6 hours and the sister drove 5 hours of the trip

Step-by-step explanation:

Your brother drove 35 miles, and your sister drove 600 miles.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have the following system of equations:

x + y = 11                ....(i)

60x + 55y = 635  ....(ii)

Using the elimination method:

Multiply equation 1 by 55, equation 2 by -1, and add both equations together:

55x + 55y = 605, -60x - 55y = -635

Simplify and solve for x: -5x = -30

x = 6

Substitute this value of x back into equation 1 to find y:

y = 11 - 6 = 5

Thus, your brother drove 35 miles, and your sister drove 635 - 35 = 600 miles.

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Need help, please...

Answers

no, 10 isnt a solution.
> means more than. the _ under it means or equal to. what the equation is saying is that 10 is more than OR equal to 12. which isnt true because 10 is LESS than 12

Answer:

yes it is .

Step-by-step explanation:

Describe the angle relationship and solve for the x.

Answers

Answer:

x = 25

Step-by-step explanation:

The shown angles appear to be on a straight line

Angles on a straight line have a sum of 180°

That being said we can create an equation using this relationship

180 = x + 2 + 153

now we solve for x using basic algebra

step 1 combine like terms

153 + 2 = 155

now we have 180 = x + 155

step 2 subtract 155 from each side

180 - 155 = 25

155 - 155 cancels out

we're left with x = 25

Please answer quickly!! There may be be more than one answer!!

Answers

Answer:

9 and 10

Step-by-step explanation:

Using is 7. It has to be more than 7, so 9 and 10.

BRAINLIEST PLEASE!!!!

I just need a point man

Erin made a mistake when writing a transformation rule to translate points two units up and four units to the left. Transformation Rule: (x, y) (x + 2, y— 4) a. What is wrong with Erin's transformation rule? b. What is the correct transformation rule?

Pls just answer it for me, i have been having a horrible day like so bad, been working on this for like hours and hours. My mind might explode.

Answers

a. Erin basically put 2 units to the right and 4 units down. Since x would be going left or right and y up or down, Erin did not write the rule correctly.

b. The correct transformation rule would be (x, y) (x - 4, y + 2). When going to the left, you would be subtracting and going up would be adding, hope this helped!

The correct transformation rule to translate points two units up and four units to the left is,

(x, y) → (x - 4, y + 2)

We have to given that,

Erin made a mistake when writing a transformation rule to translate points two units up and four units to the left.

Here, Transformation Rule:

(x, y) → (x + 2, y - 4)

Since, We know that,

The correct transformation rule to translate points two units up and four units to the left is,

(x, y) → (x - 4, y + 2)

As, for 2 units up we add 2 in y - coordinate and 4 units left we subtract 4 in x - coordinates.

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What is the total duration in minutes for the recorded lap times?

Sandra's Lap Times

(minutes)

2.4

2.3

1.7

1.8

2.7

2.6

1.9

1.5

1.2

1.4

1.3

1.4

A. 21.7
B. 22.0
C. 22.2
D. 22.5

Answers

Answer:

22.2

Step-by-step explanation:

add them

22.2
you add the numbers up. think of them like they have no decimal and then add the decimal at the end

A rectangle measures 2 2/3 inches by 2 1/3 inches. What is its area? Answer in a mixed number. WILL MARK BRAINLIEST

Answers

answer : 6 2/9
hope this helps out .

choose yes or no to tell if the fraction 2/9 will make each equation true
81 x =18
900 x = 200
72 x =16
450x = 100

Answers

Answer:

yes

Step-by-step explanation:

to see if 2/9 will make each equation true, you replace 'x' with 2/9, so let us do just that-

81*2/9=18

900*2/9=200

72*2/9=16

72*2/9=16

450*2/9=100

now, seeing as how every answer we've gotten matches the answers of the algebraic equations, the answer is yes 2/9 does make each equation true

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

Step-by-step explanation:

11. What number is NOT between 1.5 and 1.75?
a. 1 1/4
b. 1.73
c. 1.62
d. 1 13/25

Answers

Answer:

A

Step-by-step explanation:

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