PLEASE HELP ASAP !!
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?

Answers

Answer 1

Answer:

Step-by-step explanation:

In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.

If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.

To solve for h easily, use the formula

[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:

[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:

[tex]k=c-\frac{b^2}{4a}[/tex]:

[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]

This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.


Related Questions

I NEED AN ANSWER ASAP PLEASE!!!

Answers

Answer:

40%  properties  are Semi-detached

Step-by-step explanation:

Given,

Percentage of Bungalow = 10%

Percentage of Detached properties = 30%

Percentage of Apartments = 20%

∴Total percentage of properties deducting the  semi-detached properties

= (10 + 30 + 20) %

= 60%

∴ Percentage of semi detached properties = (100 - 60) %

                                                                        = 40%

So, 40% properties are Semi-detached.

Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1​

Answers

A behsnsnnfnfnfhdbdbdnd hdjdns. Dhjdns fjjd rush d end d s

PLS HELP I WILL GIVE BRIANLY!

Francine bought 3 skirts that cost $2500 each before the discount. What was her total after
the discount?​

Answers

What was the discount? There isn’t enough information for me to answer it

Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.

Answers

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Pls I need help ASAP❤️

Answers

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]

Step-by-step explanation:

find and interpret the slope

Answers

Answer:

y interpret is 60

slope 60/4=20x

hope this helps

have a good day :)

Step-by-step explanation:

How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)

Answers

Answer:

With 3 dots, you can only draw 1 triangle.

Step-by-step explanation:

All Triangles must have 3 sides, and 3 angles.

Note:

Pls, brainliest.

Thank you!

Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?

Answers

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above

Answers

Answer:

function A

Step-by-step explanation:

_______________

Function A is correct one

26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In

Answers

The correct answer would have been b, that is the way I solved it
The correct answer would be B

These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream

Answers

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

HELP WILL COUNT BRAINLIEST

Answers

The answer is D, its equivalent

Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres

Answers

Answer:

12barras

Step-by-step explanation:

Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?

De la pregunta anterior:

4 personas = 2 barras de pan

24 personas = x

Multiplicar cruzada

4 × x = 24 × 2 barras de pan

x = 24 × 2 barras de pan / 4

x = 12 barras de pan

Can somebody help with this

Answers

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

ASAPPPPPPPPPPPPPP HELPPPPPPPPP

Answers

Answer:

1) supplementary

2) complementary

Step-by-step explanation:

1) FGH= 109 JKL=71

109+72=180

2) AED=45 BEC=45

45+45=90

What are the solutions to the equation x² + 16x + 14 = 0?

Answers

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Please help with this ASAP

Answers

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

It takes 70 pounds of seed to completely plant a 9 -acre field.
How many pounds of seed are needed per acre?

Answers

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.

Answers

Answer:

9j

Step-by-step explanation:

vector AB means going to B from A.

= pos. final - pos. initial

= pos.B - pos.A

= (2i + 4j) - (2i - 5j)

= 2i + 4j - 2i + 5j

= 9j

The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
ve
-5
-5
g(x) =
O A. g(x) = (x+3)2 - 2
O B. g(x) = (x - \3)2 - 2
xx
O c. g(x) = (x + 3)2 + 2
O D. g(x) = (x – 3)2 + 2

Answers

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

How to get the equation for the blue graph?

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

https://brainly.com/question/11468584

please provide a solution

Answers

Answer: Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation. A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area of the field is 7725 square feet.Step-by-step explanation: Hope it helps

What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box

Answers

6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12

Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x​

Answers

i pray for you i hated this section and i wish i could help you:( the app photo math helped me!

The figure below shows a triangular piece of cloth: What is the length of the portion BC of the cloth?

6 cos 32°, 6 sin 32°, cos32°/6, sin32°/6​

Answers

Answer:

the answer is simple

Step-by-step explanation:

hope you got mu explanation

Answer:

6 sin 32°

Step-by-step explanation:

Hope this helps :)

1,100,300 in written in words please!

Answers

Answer:

one million one hundred thousand three hundred

Which expression is represented by this model

Answers

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3). How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.

Answers

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

The area of ΔRST is equal to the area of ΔLMN.

How to find the area of a triangle from its vertices ?

We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],

then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

What is the result of comparing area of two given triangles ?

In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)

In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)

Area of ΔRST =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                      =  [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |

                      =  [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10-4+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔRST =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Again, Area of ΔLMN =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                                   =  [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |

                                   =  [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |

                                   =  [tex]\frac{1}{2}[/tex] | -4-6 |

                                   =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔLMN =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Hence, we can say that, the area of ΔRST = the area of ΔLMN

Learn more about area of a triangle from its vertices here :

https://brainly.com/question/17335144

#SPJ2

Find the values of x and y. State which theorems you used

Answers

Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?

Answers

Answer:

[tex]Area = 26478cm^2[/tex]

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

[tex]Area = \frac{\pi r^2}{2}[/tex]

Where

[tex]r = 60cm[/tex]

So:

[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]

[tex]A_1 = \frac{11304}{2}[/tex]

[tex]A_1 = 5652cm^2[/tex]

Next, the area of the complete trapezium

[tex]Area= \frac{1}{2}(a + b) * h[/tex]

Where

[tex]a = 300[/tex]

[tex]b = 2 * r = 2 * 60 = 120[/tex]

[tex]h = 153[/tex]

So:

[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]

[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]

[tex]A_2 = 32130cm^2[/tex]

The area of the desk is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = 32130cm^2 - 5652cm^2[/tex]

[tex]Area = 26478cm^2[/tex]

which structure is found in the cytoplasm of a typical plant cell?​

Answers

The answer is ribosomes.

Answer:

Lysosomes

Step-by-step explanation:

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