The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are

Standard form: - 2 p^2 + 24p - 54

Factored form: -2(p - 3)(y-9)

Vertex form: -2(p-6)^2 + 18.

Which form is most useful for finding a. The prices that give a profit of zero dollars?

b. The profit when the price is zero?

c. The price that gives the maximum profit?​

The Profit That A Company Makes Selling An Item (in Thousands Of Dollars) Depends On The Price Of The

Answers

Answer 1

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18


Related Questions

COMBINING LIKE TERMS: Challenge 7 – 3ab + 2a + 6ab + 5 – 4a + 3a – ab​

Answers

Answer:

Hope this helps;))

Step-by-step explanation:

-3ab+6ab=3ab

2a-4a+3a=1a

7+5=12

12+3ab+1a

Answer:

-2+2ab-a

Step-by-step explanation:

Never combine unlike terms

Ex. Never combine a and ab

By following those rules, you will get -2+2ab-a as your answer.

Angle A equals 30 degrees side a equals 7 and side b equals 12

Answers

Answer:

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

Step-by-step explanation:

Side c = 11° (hope this is the answer u were looking for)

Question 5 of 10
Solve 2x + 4 > 16.
O A. x<10
O B. x> 10
O C. x>6
O D. x< 6

Answers

Answer:

C

Step-by-step explanation:

2x +4 > 16

If you plug in 6 where the x is, and multiply 2 by 6, you get 12. Add 4 to 12 to get 16. If x is 6 it equals 16, so if x > 6 the answer will be more than 16.

-2(x+6) - (3x+1) Please help!

Answers

Answer:

[tex]-5x-13[/tex]

Step-by-step explanation:

[tex]-2\left(x+6\right)-\left(3x+1\right)[/tex]

Expand:

[tex]-2x-2\times6-(3x+1)[/tex]

[tex]-2x-12-\left(3x+1\right)[/tex]

Remove brackets and flip the signs in brackets:

[tex]-2x-12-3x-1[/tex]

Group the similar terms together:

[tex]-2x-3x-12-1[/tex]

Add/subtract the terms:

[tex]-5x-13[/tex]

Answer two questions about Equations A and B:
A.
2x – 1 + 3x = 0
B.
5x – 1 = 0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property

Answers

Answer:

Step-by-step explanation:

C

Rewrite one side (or both) by combining like terms which is option(C)

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

2x – 1 + 3x = 0

5x – 1 = 0

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

This is Equation B

Learn more about equation here:

brainly.com/question/10413253

#SPJ5

Courtney and Malik are buying a rug to fit in a
50-square-foot space, Which rug should they
purchase? Explain.
$99 Rug Sale!
7 ft x 7 ft
8 ft diameter
6 ft x 8ft
Rug Emporium has your floors covered.

Answers

Answer:

I think its 7x7 because it equals to 49 and its the closest to 50 and the rug would fit better than 6x 8 1/2=51 becuase 49 is smaller and would fit better.

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The correct option is B, 8ft diameter.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since Courtney and Malik want the rug to fit in an area of 50-square-foot space. Therefore, we need to first calculate the area of the given rugs, and then choose the one that can completely cover the area.

7 ft x 7 ft → Area = 7 ft x 7 ft = 49 ft²8 ft diameter → Area = (π/4)×Diameter² = (π/4)×(8ft²) = 50.2654 ft² 6 ft x 8ft → Area = 6 ft x 8ft = 48 ft²

Now, as it can be seen that the only rug that can completely cover the 50-square-foot area is the one that has a diameter of 8 ft.

Hence, the correct option is B, 8ft diameter.

Learn more about Area here:

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please help me with this

Answers

the answer is x= √10 or √-10

Answer: the answer is x^2=10

Step-by-step explanation:

5-2x^2=-15

step one {subtract 5 from both sides} {example- 5-2x^2-5=15-5step two {simplify} {example- -2x^2=-20step three {divide both sides by -2} {example- -2x^2 = -20{{disclaimer this is part of step three}}               -2            -2                                                           step four {simplify} {example- x^2=10

                                                                                                                                                           

24 divided by 9 simplified

Answers

Answer:

8/3

Step-by-step explanation:

Oh okay i sent a post

Solve for f please I need help

Answers

Answer:

See Below

Step-by-step explanation:

Isolate f

h =  4 + f

-4   -4

h - 4 = f

Or  f = h-4

Find the slope and the y-intercept of the following equation y = - x/3 - 4

Answers

Answer:

The slope is -x/3 and the y-intercept is -4.  

Step-by-step explanation:

Y = Mx + 5 what is the value of m

Answers

Answer:

Its the slope of the function

Step-by-step explanation:

the product of 25 and the number of students

Answers

Answer:

25n

25*n

Step-by-step explanation:

let n represent the number of students

can someone help pls 20 points

Answers

56 is between the whole numbers 49 and 64
56 is between those!!!!!!!!

What is another name for line m in the figure below

Answers

Answer:

TV or VT

Step-by-step explanation:

A line is defined by the two points lying on an infinitely long straight paths.

From the picture attached,

There are two endless paths 'l' and 'm' which contain (R, U) and (V, T), intersecting at a point S.

Therefore, line 'm' will be represented by VT or TV.

And line 'l' will be represented by RU or UR.  

intergers: -6+3 plz help me and plz show how you figured it out i can’t

Answers

Answer:

-3

this diagram might help you ( ◜‿◝ )♡

Answer:

Question : -6 + 3 =?

Answer : -3

valuate y = 3x - 5 when x = 6.

Answers

Answer:

y= 3x-5

  = 3*6 -5= 18-5 =13

Step-by-step explanation:

3(6) - 5
12 - 5
7




I think it would be correct

4 y = 38 - 0.5 ( 6 y - 22 )

Answers

4y=38-3y+11
4y+3y=38-11-3y+3y
7y=27
7y/7=27/7
Y=27/7

HELP ME !
A right triangle has legs that measure 8 inches and 15 inches.
A. 5 in.
B. 7 in.
C. 17 in.
D. 23 in.

Answers

Answer:

C. 17

Step-by-step explanation:

I'm assuming you need the hypotenuse so to get that you do

The square root of a^2 + b^2

                            a squared + b squared

So it becomes square root of 8^2 + 15^2

                    =   square root of 64 + 225

                    =   square root of 289

                    =   17

Hope this helps :)

I need help with this

Answers

Answer:

Quadrilateral, parallelogram, rectangle

Step-by-step explanation:

i believe those are the right ones

3(-6+8)=(3x-6)+(3x8)

Answers

Answer:

= 6

Step-by-step explanation:

= 3 (-6 + 8)

= (3 * -6) + (3 * 8)

= -18 + 24

= 6

Answer:

[tex]x = 12[/tex]

the answer is attached to the picture

hope this helps you.

Brainliest plzz

Rate of change please hurryyyy

Answers

the answer is 3/4 because the difference in Y divided by the difference in X is 3/4

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Answers

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

Answer:

[tex]\boxed {\tt 6 \ centimeters}[/tex]

Step-by-step explanation:

The volume of a cube can be found using the following formula:

[tex]v=s^3[/tex]

where [tex]s[/tex] is the side length, or edge.

We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.

[tex]216 \ cm^3 = s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].

s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216 \ cm^3} =s[/tex]

[tex]6 \ cm=s[/tex]

The length of each edge of the cube is 6 centimeters.

Find the solution to the equation or inequality below. You must type in the entire solution, for example x=5 if it is an equation or x>5 if it is an inequality.

5x - 9 = 26

Answers

5x - 9 = 26
5x - 9 + 9 = 26 + 9
5x = 35
5x/5 = 35/5
X = 7

solve inequality and show work please​

Answers

Answer: D
Subtract two from both sides and it will leave you with x>5

No sign change since there is no dividing from a negative sign
Should I explain it better ?

Which of these graphs do not represent constant rates of change? Check all that apply

Answers

the first and last graph

Answer:

A and B

Step-by-step explanation:

SIMPLE QUESTION, 25 PTS: The cities G, H, and I, in respective order, lie approximately in a straight line. The distance from city G to city H is 72 miles. The distance from city G to city I is 92 miles. Find the distance from city H to city I.

Answers

Hey there! I'm happy to help!

From G to I is the total distance of the line (92). G to H is the first portion of the line (72) while H to I is the other portion.

To find H to I, simply subtract 72 from 92!

92-72=20

The distance from city H to city I is 20 miles.

Have a wonderful day! :D

Answer:

20

Step-by-step explanation:

Please Help, Im having trouble with this

Answers

troubles with what tho?

Answer:

1 7/8 can be written as 8*1+7/8=15/8=1.875

Step-by-step explanation:

Need Help!! because im confused

Answers

Answer:

3g+20

Step-by-step explanation:

Because Milena wants to have 3 cups per each guest and then she wants an additional 20 more.

Answer:

C. 3g+20

Step-by-step explanation:

The answer here is 3g+20.

Their will be an additional 20 cups of punch, which is addition.

Differentiate y=(sinx)(3x^2) please help please !

Answers

Answer:

6xsinx + 3x²cosx

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)(g(x) , then

[tex]\frac{dy}{dx}[/tex] = f(x)g'(x) + g(x)f'(x)

Here f(x) = sinx ⇒ f'(x) = cosx

g(x) = 3x² ⇒ g'(x) = 6x

Thus

[tex]\frac{dy}{dx}[/tex] = 6xsinx + 3x²cosx

1.5
For use after Le
Divide, if possible.
1. 3+ (-1)

Answers

2 is answer for that

Answer:

2 i think it's 2 now sure

Step-by-step explanation:

ummmmmmmmmmmmmmm

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