Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Help Please I Put 70 Pts On This The Graph Below Shows A Company's Profit F(x), In Dollars, Depending

Answers

Answer 1

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

Answer 2

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

To know more about graphs follow

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Related Questions

HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4

Answers

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps


What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?

A) 5/2 and 25/4

B) 5/2 and 7/4

C) 7/2 and 25/4

D) 7/2 and 7/4

Answers

Given:

Base of the larger figure = 30 yd

Base of the smaller figure = 12 yd

To find:

a) The ratio of the perimeters of the larger figure to the smaller figure.

b) the ratio of the area of the larger figure to the smaller figure.

Solution:

a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.

The given figures are similar. So, the ratio of the perimeters is:

[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]

b) The ratio of area of similar figures is equal to the ratio of squares of their sides.

[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]

[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]

Therefore, the correct option is A.

Angles in circle solve for each variable

Answers

Answer:

Step-by-step explanation:

............................

Answers

Answer:

Thaey are proportional

Step-by-step explanation:

A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.

Answers

Answer:

V = 3261.16

Step-by-step explanation:

Given:

P = 1380

r = 8.6% or 0.086

t = 10

Work:

[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]

DO THESE TWO PAGES
I gain: a decent grade on my rigged extra school
You gain: 25 points and brainliest

Answers

Answer:

19)A   20)A    21)A      22)C     23)D    24)D    25)B      26) A     27)B

28) A     29)B      30)A    31) The surface area of Tina's shoebox is 184a..

u can check the answers if u wantt !! :)

40 points!
You are framing a picture with a frame of equal width on each side.

a. Write a polynomial that represents the area of the picture including the frame

b. Find the area of the picture including the frame when the width of the frame is 2 inches

Answers

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters

Answers

48 meters is the answer

Answer:

24 800cm.

Step-by-step explanation:

Length in metres =12×100=12000cm

Perimeter. =2[l+b]

Perimeter. =2[12000+400]

Perimeter. =2×12400

Perimeter. =24 800cm

Perimeter. =24 800cm÷100

Perimeter. =24.8m

PLEASE GIVE BRAINLIEST

Which list orders the numbers from least to greatest

Answers

The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8

A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelters collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?

Answers

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

Mr. Davies plans to place an aquarium on a shelf in his living room. The length of the shelf is inches, and the aquarium is inches long. Which estimation is best for centering the aquarium on the shelf?

Answers

The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.

Answer:

Kindly check explanation

Step-by-step explanation:

Let :

Lenght of shelf = x

Length of aquarium = y

Usually, the length of shelf will be > length of aquarium

The shelf will have the right and left hand side ;

Subtract Length of aquarium from length of shelf and divide the difference by 2 ;

(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.

Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.

Just input the omitted values of shelf length and aquarium length to obtain the solution.

I just don’t get it, please help me.

Answers

Answer:

Answer in the image below \/

Step-by-step explanation:

solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

What is the geometric mean of 6 and 8?

Answers

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

What is geometric mean?

The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:

[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

The two given numbers are 6 and 8

That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]

Substitute  [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

[tex]GM=\sqrt{6 \times 8}[/tex]

Simplifying further:

[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]

Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

Learn more on geometric mean here: https://brainly.com/question/1311687

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13

pls explain the answer if possible ^^​

Answers

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

Solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

[tex]\displaystyle x \approx 16.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 16.4849[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 16.5[/tex]

Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?

Answers

Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

The radius of a circular musical drum is 70 centimeters.​ Find its area. ​Use = 3.14 (PLEASE DO NOT PUT UNNECESSARY LINKS)

Answers

Answer:

it is basically the radius times 2 and then times 3.14

Step-by-step explanation:

439.6! :D

Find the angle relationship in the table

Answers

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

Please Help ASAP!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with y- intercept c = - 4 → A

What is the reference angle of 255°?​

Answers

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation:

It wants me to find m∠2 from this

Answers

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

How do I calculate the volume of this prism?

Answers

You just multiply them

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.



2(x−3)=10x−6−8x

1 solution

No Solution

Infinite Solutions

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Simplify both sides and you will see they are equivalent meaning that it has infinite solutions

What is the percent of change from 800,000 to 600,000?

Answers

i'm pretty sure it's 75%

I need an answer ASAP!!

Answers

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

I'm about 90 percent sure that x is 8

whats the area of the shaded region

Answers

Answer:

36 meter square

Please mark my answer as brainliest for further answers:)

The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer:

-250, 1250

Step-by-step explanation:

The pattern is to multiply by -5.

2,-10, 50, -250, 1250

find missing exponents ​

Answers

I say 3 if I’m wrong sorry

Please answer this quick

Answers

I'm sorry but i can't really see the picture

Answer:

1/4

Step-by-step explanation:

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