Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month if he sells the posters for 20-x dollars each. (Picture in comments) What should Max charge per poster to make the maximum profit, and what is the maximum profit he can make in a month? A: $800 at $10 per poster B: $800 at $5 per poster C: $750 at $10 per poster D: $750 at $5 per poster

Answers

Answer 1

Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
p(x)= -10x^2 +200x -250
p(x) = -10 (10)² +200 (10) - 250
p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)

Answer 2

Answer:

$750 at $10 per poster

Step-by-step explanation:

Related Questions

A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?

Answers

F = k x
15 = k *10
k = 1.5

check:
24 = 1.5 x
x = 16 sureenough

so 1.5 oz/inch
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz

The spring stretch 0.6 inches per ounce of additional weight.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A weight of 15 ounces stretches a spring 10 inches.

∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,

= (10/15) inches.

= 0.6 inches of increase in length per ounce.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ5

Mr.hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget ?

Answers

His overall budget is $672

He has $672 after he gives away 16% of his budget. The 16% is $128

Rewrite as a square or a cube:
3 3/8 =_____

1 11/25=_____

Answers

1)

3 3/8= (3/1) + (3/8)=
     = (3x8)/8 + (3/8)
     =(3x8 +3) / 8              putting both numbers with the same denominator
      =27/8
27 is the same as 3³      3x3x3= 27
8 is the same as 2³        2x2x2= 8
= 3³÷ 2³

2)
1 11/25= (1/1) + (11/25)
= (25/25) + (11/25)     putting both numbers with the same denominator
= (25+11)/25
=36/25
36 is the same as 6²     6x6=36
25 is the same as 5²     5x5=25

6²/5²

Answer:

3 3/8= (3/1) + (3/8)=

= (3x8)/8 + (3/8)

=(3x8 +3) / 8 putting both numbers with the same denominator

=27/8

27 is the same as 3³ 3x3x3= 27

8 is the same as 2³ 2x2x2= 8

= 3³÷ 2³

1 11/25= (1/1) + (11/25)

= (25/25) + (11/25) putting both numbers with the same denominator

= (25+11)/25

=36/25

36 is the same as 6² 6x6=36

25 is the same as 5² 5x5=25

6²/5²

Read more on Brainly.com - https://brainly.com/question/6597610#readmore

Step-by-step explanation:

help me please,it will be greatly appreciated

Answers

1) √3(2)-2/3^2 = √6-2/9= 2/9
As you see, as according to the rule, 3 would be represented by the variable a while 2 would be represented by the variable b. Since you know this, you simply plug the values into the equation, plugging 3 in where a belongs and plugging 2 in where b belongs. After this, you simplify which gets you to your answer, 2/9.

2.)3(ab^2)^3= 3(a^3b^2*3)=3(a^3 b^6)= 3a^3b^6
Since you know the rule of indices or indexes (the power) in this case would be distributing the outside exponent, 3 to the inner exponents a^1(since there is no power labeled, it is implied that a is raised to the first power) b^2, which would be multiplying the outside exponent to the inner indexes. Then, once you have done this, you distribute the value, 3, to a^3b^6.

power negative a b to the third power minus AC if a equals -2 and b equals 3 and C equals negative 8

Answers

The answer is: " - 38 " .
__________________________________________________
Explanation:
__________________________________________________
Given: " −ab³ − ac ” ;

Solve this expression when: "a = -2 " ; " b = 3 " ; " c = 8 " ;
__________________________________________________
So, we plug in our given values for "a", "b" and "c" ; and solve:

[−(2)*(3³) − [(-2*8)] = (-2*27) − (-16) = (-54) + (16) = " -38 " .
___________________________________________________

[tex]$-ab^3 - ac = 38$[/tex].

To evaluate the expression [tex]$-ab^3 - ac$[/tex] given a = -2, b = 3, and c = -8, we substitute the values into the expression:

[tex]-ab^3 - ac = -(-2)(3)^3 - (-2)(-8)\\= -(-2)(27) - (16)\\= 54 - 16 \\= 38[/tex]

log4 (x - 7) = 3
solve for x

Answers

Firstly we apply the rule: [tex]a=\log _b\left(b^a\right)[/tex]:
[tex]\log _4\left(x-7\right)=3
\\\log _4\left(x-7\right)=\log _4\left(64\right)[/tex]

When the logarithms have same base, the following rule applies: [tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right) \Rightarrow f\left(x\right)=g\left(x\right)[/tex].

And now we simply solve the linear equation:
[tex]x-7=64
\\x=71[/tex].

I know you all might want the steps too but the way i used in solving it is pretty long, but the answer is
2log2(x−7)=3

log2(x−7)=3/2

x−7=3/2log2

x−7=3/2log2

[tex]x = \frac{3}{2 log(2) }+ 7[/tex]
i hope this help

Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?

Answers

I think this is fake but ima say my answer anyway subtract 17 by 14 and u have ur answer I think I don't think this is a math question but, little tiny tottie Middle schoolers have it different in highschool so I don't know.

A gift box in the shape of a cube has a volume of 216 cm3 . What is the area of the base of the box

Answers

The volume consists of L*W*H. Since it is a cube, each measurement will be the same. The cube is 6 for Length, width, and height. The SA for the base of the box is 36cm.

The area of the base of a cube with a volume of 216 cm³ is 36 cm², obtained by first calculating the side length as the cube root of the volume and then squaring that length.

The volume of a cube is calculated by raising the length of one of its sides to the third power (Volume = s³), where s is the length of a side. Given that the volume of the gift box is 216 cm³, we can find the length of a side by taking the cube root of the volume. The cube root of 216 cm³ is 6 cm, which is the length of each side of the box.

Since the base of the cube is a square, the area of the base is simply the length of a side squared (Base Area = s²). Hence, the area of the base of the box is 6 cm × 6 cm, which equals 36 cm².

plz help me on this question

Answers

the line that passes through the origin (0, 0) is direct variation, so the second graph.

Given f(x)= -4x+7, find f(1)

Answers

Hi there!

To find f(1), plug in x=1 into the equation
f(1) = -4(1) + 7
= -4 + 7
= 3
That's your answer.
Have an awesome day! :)

From your friendly Helper-in-Training, collinjun0827

You replace x with 1, so this looks like:
-4(1) + 7
-4 * 1 also equals -4, so, -4(1) + 7 = -4 + 7. -4 is the slope (down 4 to the left 1), and 7 is the y-intercept, so there should be a point on 7 on the up and down line which is y.

the quotient of eight and a number h is written as

Answers

the quotient of 8 and h is written as 8/h

8/h quotient is to divide so you are dividing by h

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?

A. The graph of g(x) is the graph of f(x) translated 7 units left.
B. The graph of g(x) is the graph of f(x) translated 7 units up.
C. The graph of g(x) is the graph of f(x) translated 7 units right.
D. The graph of g(x) is the graph of f(x) translated 7 units down.

Answers

The answer is c: the graph of g(x) is the graph of f(x) translated 7 units to the right

The statement which correctly describes the relationship between graphs related as g(x)=f(x−7) is; Choice C {The graph of g(x) is the graph of f(x) translated 7 units right}

According to the question; g(x)=f(x−7).

In essence, for every value of x on the graph (g), the value of x on the graph (f) reduces by 7.

Put differently; for every value of x on the graph (f), the value of x on the graph (g) increases by 7.

However, In graphs: an increase on the x axis is depicted by a movement rightward on the number line.

Therefore, if the relation g(x)=f(x−7) holds;

The graph of g(x) is the graph of f(x) translated 7 units right.

Read more:

https://brainly.com/question/11916980

8x+4(x-1) simplify the following expression

Answers

Distribute 4 into x-1
So it makes 8x+4x-4
then Add them together
12x-4

8x+4x-4
12x-1
You have to foil then group the "like terms"... you could also just go to cymath tbh

If 1 oz of potato chips contains 180 calories, how many ounces would contain 3,180 calories

Answers

Since 180calories = 1oz, divide 3180 by 180 and you will get the ounces.
3180/180 = 17.666

17.666oz

In 17.66 ounces of chips, 3180 calories are there.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 1 oz of potato chips contains 180 calories.

∴ No. of ounces of chips that contains 3180 calories can be obtained if we divide total calories by calories in 1 oz which is,

= (3180/180).

= 17.66 ounces.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

9n+21−3n−24 simplify

Answers

Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3

Rewrite the simplified equation
6n - 3 = 0

Solve for n
6n = 3
n = 3/6
n = 1/2

Ask if you need more help! :)

Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.

Answers

First, convert all pounds andou8nced to decimal pounds.
To do that, divide the number of ounces by 16 and add to the number of pounds.
For example, 152 lb 4 oz = 152 lb + 4/16 lb= 152.25 lb
14 lb 8 oz = 14 lb + 8/16 lb = 14.5 lb
Do the above for all given weights.

For each line, do this.
Divide the number in the left column by the number in the middle column.
For example, 152.25/14.5 = 10.5. Since the ratios are always the same, the first column is always 10.5 times the middle column.
If you are given the left column, divide by 10.5 to find the middle column.
If you are given the middle column, multiply by10.5 to find the left column.
Finally, add the left and middle columns to find the right column.

grace has 2 cups of strawberries and plans to divide this amout into equal parts to make 3 strawberry pies what fracion of a cup of strawberries will be used for each pie?

Answers

2/3 is the fraction to the answer you just asked on brainly

Emily has 300 books if Frank were to double the number of books that he now owns he would still have fewer than Emily has

Answers

Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.

1. Let's assume Frank currently owns 'b' books.

2. According to the given information, if Frank were to double the number of books he now owns, he would still have fewer books than Emily.

3. We know that Emily has 300 books. So, the inequality representing the given information is 2b ≤ 300.

4. To find the maximum value for 'b', we need to solve this inequality.

5. Dividing both sides of the inequality by 2, we get b ≤ 150.

6. This means Frank can own a maximum of 150 books in order to maintain a smaller collection than Emily's 300 books.

The detailed mathematical sentence representing this information is: Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.

Complete question:

Write a mathematical sentence that expresses the information given below. Use bas your variable name. If necessary: type < = to means or > = to mean . If you need to show multiplication, do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.

HURRY MATH QUESTION DOWN BELOW

Answers

The answer should be 18/54

What does 5/9-2/3x(-1/4)=

Answers

5/9 - 2/3 * (-1/4)=
5/9 + 1/6=
(10 + 3)/18 =
13/18

which numbers represents a repeating decimal -2/5, -7, 3/9, 11/12

Answers

-2/5=-.4
-7=-7

These two are repeating decimals.
3/9=.3333334
11/12=.9166667

Evaluate. (1/4)^-2 - (5^0×2)×1^-1

Answers

14 would be the answer
Hope this helps...

(1/4)^-2 - (5^0×2)×1^-1
(1/4)^-2 - (1×2)×1^-1
(1/4)^-2 - 2×1^-1
0.25^-2 - 2×1^-1
16 - 2×1
16 - 2
14

You're welcome

5d - 1 = -11
What is d?

Answers

5d - 1 = -11

5d = -11 + 1

5d = -10

d = -10/5

d = -2

hope this helped, God bless!

The answer is D= -2
Hope this helps :)

ms.Jackson and 3 of her friends went out for sushi. They order 6 rolls and 4 sodas. The soda is $3.75 less than the rolls. They spent a total of $70.50. What is the cost of one roll, Write and equation and solve.

Answers

Ms. Jackson + her 3 friends = 4 people all together

Find how many would each person be getting/eating.
6 rolls / 4 people = 1.5 roll(s) a person

First, subtract 3.75 from 70.50.
70.50 - 3.75 = 66.75

Take 66.75 and divide that by 4 (people)
66.75 / 4 = ~ (about) 16.69

Lastly, take 16.69 and divide that by 1.5 (roll(s))
16.69 / 1.5 = ~ (about) 1.11 each roll

I'm not sure that is right but I tried :(: I hope this works and is right! :) Sorry if it isn't! :(

A bar of copper has a mass of 216 g and a volume of 24 cm. what is the density of copper

Answers

This is how I found the answer

The density of copper bar is 9g/cm³

Given that :

Mass of copper bar = 216 g

Volume = 24 cm

Density of copper will be :

Recall :

Density = Mass / Volume

Density = 216 g / 24 cm³

Hence, Density of copper bar = 9 g/cm³

Learn more : https://brainly.com/question/18112348

Write these portions as percents.
A) 3 tenths and 6 hundredths.
B) 8 hundredths
C) 17 hundredths
D) 11 tenths.

Answers

A) 36%
B) 8%
C) 1.7%
D) 110%

36%
0.8%
0.17%
11%
It's a rough answer but I can say i learned it in school and that's what I remember

I am so stuck please explain to me how to do this. If you can do this, please do!

Directions: Write each decimal as a fraction or a mixed number.

10.9

00.8

4.125

0.0075

8.016

0.055

Answers

well, I think what u could do is put 1 where the decimal is and 0 by however many numbers there are, for example, 1.13/ 100. There is a 1 for the decimal and two 0 for the two numbers. And then simplify as much as you can and then make it into a mixed fraction if you have to like if it is 9/5 or something

Simplify fully: √18 / √8

Answers

sqrt18 = 3 sqrt2
sqrt 8 = 2 sqrt2

sqrt18 / sqrt 8 = 3 sqrt2 / 2 sqrt2 = 3/2 answer

Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate HOW many pounds of food would the zookeeper need everyday to feed 6 adult gorillas

Answers

Ur total will be 240 lb of food bc if u have 1 adult gorilla a total of 40 u just do 40 *6

George ran 1.1 miles, took a break, and then ran 2.1 more miles. How many meters did George run in all?

Answers

First, you would need to calculate how many miles George ran.
1.1 mi + 2.1 mi = 3.2 mi

Now, 1 mile = 1,609.34 meters, so you would multiply the number of meters per mile by the number of miles.
3.2 × 1,609.34 = 5,149.9 meters

George ran 5,149.9 meters in all.

I hope this helps!

Other Questions

Example 2: a horizontal cylindrical drum is 2.00 m in diameter and 4.00 m in length. the drum is partially filled with benzene (density = 0.879 g/cm3). what is the mass (kg) of benzene when the liquid depth is 0.85 m? An object is placed so that the image formed is a real image of the same size as the object. What is the position of the object? The Australian Shepherds reputation in the United States is growing rapidly. Most often the dog is called an Aussie. Aussies's are fast, strong, and highly intelligent dogs. At thirty-five to forty-five pounds, the dogs bodies are compact and muscular. Some people do'nt recognize the breed name, but Aussie's are all over television. Whenever you see a commercial with a dog catching a Frisbee, herding cattle, or running an obstacle course, you can be pretty sure your watching an Aussie or one of the closely related breed's , such as a Border Collie or Blue Heeler. Because Aussie's require a lot of attention and exercise, some pet owner's aren't suited to this particular breed. An Aussie with nothing else to do will find something to destroy that you'd previously thought could'nt be destroyed. When trained and exercised daily, however, Aussies can't be beat for friendship and fun. Nitrogen and oxygen are the most abundant gases in Earths atmosphere. A nitrogen molecule is 0.00000000003 meters larger than an oxygen molecule. Which statements describe writing 0.00000000003 in scientific notation? Check all that apply. 50 POINTS!Which statement best explains whether ABC is congruent to DEF? An effective claim for an argumentative essay isA.)passionate and intense.B.)flexible and open-ended.C.)nonspecific and undefined.D.)precise and knowledgeable. WILL GIVE A BRANILEST What did the extinction of the dinosaurs lead to?the collision of a comet with Earththe extinction of birdsthe evolution of mammalsthe destruction of the ecosystem When we consider leisure anthropologically? What was an agreement made by the allies at the potsdam conference apex? Question 1 (Fill-In-The-Blank Worth 1 points)Change the verb to indicate that it was in progress at a time in the past using the correct form of Estar in Blank 1 and correct form of action verb in Blank 2. Nosotros subamos a la habitacin. 30 points !!!!!!!!Solve the following problem. Show ALL steps to receive full credit. 5x + x + x 6 2 = 8 + 2x + x a.Simplify by combining like terms. State your equation Are prices the best way to allocate resources ? What is the name for the percentage of space not occupied by solid matter in soil A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each. How many bolts of muslin cloth does the pattern maker use each month? A) 35 B) 35 1/15 C) 35 1/5 D) 35 1/3 Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 3, and y = 4 about the y-axis. 25 times pi divided by 2 97 times pi divided by 3 173 times pi divided by 3 None of these Modern readers continue to read the texts of ancient cultures because _____.a. they provide a wealth of historical facts b. they clash with todays stories so much c.they are superior to modern stories d. they still influence the stories of today If the train that Megan is riding covers 120 miles in 4 hours, how fast is the train traveling? The largest number of interracial marriages involves which two groups? It seems quite possible that cigarette companies concealed information about the effect of smoking on health, causing cigarette prices to be __________ and cigarette sales to be __________ than would have been the case under symmetric information. higher; higher higher; lower lower; higher lower; lower Write a two stanza, eight-line poem in blank verse form that includes at least one use of enjambment. The verse does not necessarily need to be in iambic pentameter. It must, however, keep a consistent meter across all eight lines. After you have written the poem, read it and look for ways to improve it in structure, imagery, and details. Remember to also check it for errors in spelling and grammar. Steam Workshop Downloader