3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.

Answers

Answer 1

Question:

Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression? P(x) = -3x² + 432x - 1680

a) P(x) = -3(x - 4)(x - 140)

b) P(x) = -3(x - 72)² + 13872

Find the profit when the price is zero

Answer:

- P(x) = -3(x - 140)(x - 4).

- P(0) = -1680

Step-by-step explanation:

Given

P(x) = -3x² + 432x - 1680

Required

- Find equivalent of P(x)

- Find P(x) when x = 0

To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.

This is done as follows

P(x) = -3x² + 432x - 1680

P(x) = -3x² + 12x + 420x - 1680

P(x) = -3x(x - 4) + 420(x - 4)

P(x) = (-3x + 420)(x - 4)

Further expand -3x + 420

P(x) = -3(x - 140)(x - 4).

Hence, the equivalent of

P(x) = -3x² + 432x - 1680

without changing its form is

P(x) = -3(x - 140)(x - 4).

When price is 0, then x = 0.

Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).

P(0) = -3(0 - 140)(0 - 4).

P(0) = -3(-140)(-4)

P(0) = -1680

Hence, the profit when price is 0 is -1680


Related Questions

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2

Answers

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?

Answers

Answer:

mark brainlyest and I will

The value 250 represents the predicted value of antique in year 2014.

Given Expression,

[tex]250\times(1.12)^{t}[/tex]

Here [tex]t[/tex] represents the no. of years since 2014.

Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.

Hence the value 250 represents the predicted value of antique in year 2014.

For more details on Decay rate problems follow the link:

https://brainly.com/question/8725872

Help me please............

Answers

Answer:

Step-by-step explanation:

16*[tex]x^{2}[/tex]

Answer:

16* x^2

Step-by-step explanation:

k* x^n

First simplify the expression:

4^2*x^2

So:

16* x^2

There are six slices of cake left at the end of a party. If that was 2/9 of the total of the cake that the party began with, how many slices were in the cake to begin with? (enter you answer as a number only, no words) *

Answers

Answer:

27

Step-by-step explanation:

6 divided by 2/9=27

Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?

Answers

Answer:

which will be about $2.81

Step-by-step explanation:

30 times 1.25 = 37.50

then multiply that by 7.5%

i may be wrong. i am sorry if i am worong

Answer:

$318.75

Step-by-step explanation:

30 cookies x $1.25 = $37.5

37.5 x 7.5% tax = 281.25

37.5 + 281.25 = 318.75

what are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

Find the greatest common factor of 6w^3 and 8w.

Answers

Answer:2w

Step-by-step explanation: Find the prime factors of each term in order to find the greatest common factor (GCF).

2w

A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?

Answers

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
0.211
0.244
0.756
0.944

Answers

Answer:

The answer is C.) 0.756

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did the test on edge 2020

Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.

Answers

Answer:

[tex]Area=45\pi$ square inches[/tex]

Step-by-step explanation:

The radius, r of the expanding circle of oil is modeled by the function:

[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.

When s=5

Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]

Area of a circle[tex]=\pi r^2[/tex]

Therefore, area of the oil spill when s=5 seconds is:

[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]

The area of the spill when s=5 seconds is 45pi square inches.

PLEASE HELP FAST
Find the volume of a rectangular prism. Iength measures 16 ft, width measures 3 ft, and height measures 2 1/2 feet ​

Answers

Answer:

120 ft ^2

Step-by-step explanation:

Volume= lwh

Volume= 16(3)(2 1/2)

Volume= 120 ft^2

Answer: 120

Step-by-step explanation: 16 x 3 x 2.5 = 120

David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why

Answers

Answer:

(m-16)(m+4)

Step-by-step explanation:

To factor a quadratic expression

First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.

David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).

How to factor an equation?

An equation can be factored into its factors by splitting the middle term of the equation.

The given expression can be factored as shown below:

m^2 - 12m - 64 = 0

⇒ m^2 - 16m +4m - 64 = 0

⇒ m(m - 16) + 4(m - 16) = 0

⇒ (m + 4)(m - 16) = 0

The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).

Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ2

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2

Answers

It’s is the second option because the description matches

A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.

Answers

Answer:

19339.64 in³

Step-by-step explanation:

Volume of a cylinder: V = π · r² · h

V = π · 18² · 19

V = π · 6156

V = 19339.64 cubic inches

please help me with this it is the last quastion i need help with

Answers

Answer:

$92.92

Step-by-step explanation:

$72.60 * 20% = 14.53

$72.60 + 8%= $78.40

$78.40 + $14.52 = $92.93

She paid $87.12 for the service.
20% of 72.60 (or 72.60 x .20) is 14.52.
72.60 + 14.52 = 87.12

Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels?

Answers

Answer:

The answer is c and we'll use c to get the actual answers.

A) n + q = 104

B) .05n + .25q = 22 we'll multiply B) by -4

B) -.2n -1q = -88 then we add A)

A) n + q = 104 which equals

.8n = 16

n = 20 nickels

q = 84 quarters

20 nickels = $1

84 quarters = $21

Successful!!!

Step-by-step explanation:

Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.

A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5

Answers

Answer:

b

Step-by-step explanation:

Hope this helpsss :)

Answer:

your answer will be: B. y3 - 4 y2 + 2 y - 5

Step-by-step explanation:

Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.​

Answers

Answer:

(x-2)(3x)+(x-2)(4)

When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.

Please help me with this

Answers

Answer:

no

Step-by-step explanation:

a 13% discount on an item that costs $1150 will cost u $1000.50

tell me if u want work i assumed u wanted a quick answer since its a quiz

Answer: No, you would still need $0.50

Step-by-step explanation:

1150 x 0.13= 149.5

1150-149.5= 1000.5

please help i don't get it

Answers

the perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer

Answer:

97 cm

Step-by-step explanation:

The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be

3 + 10 + 3 + 33 + 33 + 15 = 97 cm

Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?

Answers

The correct question is:

Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?

(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x

is (0,5). [

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.

(4) Neither graph has a y-intercept.

Answer:

(2) and (3) are true.

Step-by-step explanation:

The correct options are:

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0

A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.

1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!

Answers

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?

Answers

Answer:

The answer is D, or 354 3/8 ft^2

An equilateral triangle has perimeter 57cm, what is the length of one of the sides?

Answers

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

simplify x^2+(y-9)^2=

Answers

Answer: Simplify each term.

x^2+y^2−18y+81

Step-by-step explanation:

Which phrase represents this expression?

(47−17)×4


A. 4 times the difference of 47 and 17

B. 4 times the difference of 17 and 47

C. the difference of the product of 4 times 17 and 47

D. the difference of 47 and the product of 4 times 17

Answers

A. 4 times the difference of 47 and 17

5x+2y = 10
Identify the y-intercept of the
following equation.

Answers

Answer:

y intercept = 10

hope this answer helped

Other Questions
Ill give you BRAINLIST ! * have to get it right * What do you think Eliza is doing ? A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in? easy please quickly answer giving brainiest If you put all the sunflowers together end to end, what would be the total length of all the sunflowers? The value of which of these expressions is closest to e?A. (1+1/19)^19B. (1+1/22)^22C. (1+1/20)^20D. (1+1/21)^21 Write down the measurements you would use to double this recipe. How many cups of brown sugar do you need if the recipe is doubled? if you need 3/4 cups of brown sugar? What is the sum of 6 x 12? Who wrote the Declaration of Independence?O A. Thomas JeffersonB. John LockeC. King George IIIO D. George WashingtonSUB IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is Refer to the two paragraphs that begin on page4 and end on page 6. What is Henry's purpose inposing multiple questions?ginian lawyerissionately for thenies. In March 1775, herond Virginiacouraging theyainst the British Henrywas imminent andy in the Revolutionaryto coax listeners to agree with his argumentsregarding the imminent wary or Death"nryto cast doubt upon his own rhetoric regarding thestruggle for libertyto reveal the hopeless situation in which colonistsfind themselvesnan I do of theof the veryjust addressedoften see thets; andthoughtto encourage the other members of the conventionto engage in a frank dialogue56 This is like a stupid question I know how to do it but I just cant so could someone help How to determine the function with the graph? 3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8) In which type of triangle is the orthcenter on the perimeter of the triangle Proper payroll accounting methods are important for a business for all of the following reasons except a.payroll is subject to various federal and state regulations b.good employee morale requires timely and accurate payroll payments c.to help a business with cash flow problems by delayed payments of payroll taxes to federal and state agencies d.payroll and related payroll taxes have a significant effect on the net income of most businesses This represents a group of Book values as a list (named books). We can then dig through this list for useful information and calculations by calling the methods we're going to implement. class Library: Define the Library class. def __init__(self): Library constructor. Create the only instance variable, a list named books, and initialize it to an empty list. This means that we can only create an empty Library and then add items to it later on. What is 1 2/3 - 2 1/3? PLEASE ANSWER!!!!!!!! neeeed helpp!!!! thank you What volume of oxygen gas at 20C and 0.919 atm isconsumed in the production of 5.00 g of iron(III) oxide frommetallic iron?4Fe(s) + 302(g) 2Fe2O3 (9)LO2