A company plans to sell a new type of vacuum cleaner for $280 each. The company’s financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y-intercept of 11,000 and a vertex of (500, 24,000). Which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 x squared + 11,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 (x minus 500) squared + 24,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 11,000 EndLayout

Answers

Answer 1

Answer:

StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout

Step-by-step explanation:

Given that:

Cost per cleaner = $280

The cost of x vacuum cleaners will be :

Cost per cleaner * number of cleaners

$280 * x

= $280x

The general vertex firm equation :

y-k = a(x-h)^2

Vertex = (500, 24000) ; Vertex = (h, k)

h = 500 ; k =24000 y= 11000, x = 0

y intercept = 11000

Plugging the values :

11000 - 24000 = a(0 - 500)^2

- 13000 = a(-500)^2

-13000 = a * 250000

a = - 13000 / 250000

a = - 0.052

Hence,

y - 24000 = a(0 - 500)^2

y = - 0.052(0 - 500)^2 + 24000

Answer 2

Answer:

A on edge

Step-by-step explanation:

i took the test


Related Questions

What is the answer to
1 + 3(8.63) =

Answers

Answer:

26.89

Step-by-step explanation:

2x-1/15=7.2/3 Find x

Answers

Answer:

x = 18.5

Step-by-step explanation:

If you do the butterfly method, you should get 2x-1 = 36

2x = 37

x = 18.5

solve for x explain pls
6+2x+31=x+26

Answers

6+2x+31=x+26
first you would add all the similar numbers on each side so if you have to numbers add them two xs add them

so it would become

37+2x=x+26
-x -x
then you would subtract the x from both side
37+x=26
-37 -37
then the numbers

x=-11
The answer above is correct my dude.

In Fairbanks, Alaska, the average temperature in January is -9.7°F. The
average temperature in July is 62.4°F. On average, how many degrees
colder is Fairbanks in January than in July?

Answers

Answer:

72.1 degrees... 72 point 1 degress in case you cant see the ( . )

Step-by-step explanation:

62.4 minus -9.7= is 72.1

Which number equals 9x100+9x10+0x1+0x1/10+3x1/100+7x1/1000

Answers

Answer:

bro u just made my brain explode lollllllllllllllllllllllllllllll

Answer: The answer should be or somewhere around 991.13700

Suppose you purchase a car using an installment loan for $26,000 for 48 months at 5% annual rate. Your payment is $598.76. Which is nearest to the total finance charge?

Answers

Answer:

7

Step-by-step explanation:

Answer all of these questions correctly. Will give brainliest.

Answers

Answer:

1-5

3-7

8-4

2-6

6-3

3-7

Step-by-step explanation:

Solve for x, y, and z in the figure below.
47° 58°
x
y° / 81°

N
оа
Ob
Ос
x = 34, y = 99, z = 41
x = 41, y = 92, z = 41
x = 72, y = 61, z = 41
X = 63, y = 70, z = 41
Od

Answers

Answer:

Option (A)

Step-by-step explanation:

From the given triangle in the picture,

∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).

m∠y + 81° = 180°

m∠y  = 180° - 81°

        = 99°

By the property of a triangle,

x° + y° + 47° = 180°

x° + y° = 180° - 47°

x° + y° = 133°

For y = 99°

x° + 99° = 133°

x° = 133° - 99°

   = 34°

Similarly, z° + 58° + 81° = 180°

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

Therefore, Option (A) will be the correct option.

Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:

x = 34, y = 99, z = 41

Recall:

Angles on straight line = 180°Sum of triangle = 180°

Thus:

y° + 81° = 180° (angles on a straight line)

Subtract 81 from each side

y° = 180° - 81°

y° = 99°

x° +  y° + 47° = 180° (sum of triangle)

Substitute

+ 99° + 47° = 180°

x° + 146° = 180°

Subtract 146° from each side

x° = 180° - 146°

x° = 34°

z° + 81° + 58° = 180° (sum of triangle)

z° + 139° = 180°

Subtract 139° from each side

z° = 180° - 139°

z° = 41°

Learn more here:

https://brainly.com/question/20676975

Solve for x. What is the root? If there is no root, choose none.

Answers

The answer to your question is 4 for the root and x=4

Answer:

4

Step-by-step explanation:

what is the bed what is it

Answers

Answer:

A bed is a type of object a person uses to sleep on. It usually contains blankets and pillows

Step-by-step explanation:

Can i have brainliest?

Answer: a bed is something you lay on to go to sleep or just chill

Explanation: I use my bed to lay on for comfort or to go to sleep


[tex] \frac{3}{8} + \frac{1}{7} [/tex]
cual es el resultado?​

Answers

Answer:

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Step-by-step explanation:

Suma de fracciones

Vamos a sumar:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}[/tex]

Debemos encontrar el mínimo común múltiplo (MCM) entre los denominadores, en este caso, 7 y 8.

Descomponemos en factores primos:

7=7

8=2*2*2

Se toman los comunes y no comunes con máximo exponente, así que el MCM es 7*8=56.

Se procede a dividir el MCM entre cada denominador y al multiplicarlo por su numerador correspondiente:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}=\frac{3*7+1*8}{56}=\frac{29}{56}[/tex]

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Imagine an element that has 15 protons, 16 neutrons, and 18 electrons. Which of the following would NOT be considered an isotope of this element? *

15 protons, 16 neutrons, and 15 electrons
15 protons, 17 neutrons, and 15 electrons
15 protons, 15 neutrons, and 18 electrons

Answers

Answer:

15 protons, 15 neutrons and 18 electrons (3rd one) is the answer

Step-by-step explanation:

HELP ASAP


IDK WHAT THIS IS HELP

Answers

Answer:

b. [tex]\frac{13}{6}[/tex]

Step-by-step explanation:

(15, 3) (9, -10)

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

[tex]\frac{-10 + -3}{9 - 15}[/tex]=   [tex]\frac{-13}{-6}[/tex] = [tex]\frac{13}{6}[/tex]

SHOW WORK: h(x)= -4x+4, what is x when h(x)=-20 ? *

Answers

X=6 is the answer
Hope this helps

Answer:

x=6

Step-by-step explanation:

h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.

[tex]-20=-4x+4[/tex]

[tex]-4[/tex]               [tex]-4[/tex]

---------------------

[tex]\frac{-24}{-4} =\frac{-4x}{-4}[/tex]

[tex]6=x[/tex]

Sue sees 30 adult elephants and 18 baby elephants at the zoo. What is the ratio of adult elephants to baby elephants

Answers

Answer: 30:18 or 30 to 18

Step-by-step explanation:

At a certain intersection, the traffic light is red for 15 seconds, yellow for 5 seconds and green for 30 seconds. Find the probability that, of the next eight cars that arrive randomly at the light, exactly three will be stopped by a red light.

Answers

Answer: 0.254

Step-by-step explanation:

Given that:

Number of cars = number of trials (n) = 8

Number that will be stopped by a red light = Numbe rof successes (r) = 3

Probability of success :

Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds

P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3

1 - p = 1 - 3/10 = 7/10 = 0.7

Using the binomial probability relation:

p(exactly 3):

P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)

P(8, 3) = 8C3 * p^3 * (1-p)^5

P(8, 3) = 56 * 0.3^3 * 0.7^5

= 0.25412

= 0.254

HELP ME PLEASE!! This is due today!! Use kcf and show ur work plzz!

Answers

Answer:

[tex]\frac{3}{2} \textrm{ cups of flour}[/tex]

Step-by-step explanation:

the ratio of cups of flour per 1 cup of water:

[tex]\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}[/tex]

3/2 of water for each cup

SHNERPY GERPBY
Put the steps of the Electoral College Process in order.


Question 5 options:


First candidate to 270 electoral votes wins the presidency.


Electors cast the official vote.


Popular vote.


Whoever wins the state, gets all of that state's electoral votes.

Answers

Answer:  (number 1 is the popular vote) (number 2 is whoever wins the state gets all the electoral votes) (number 3 is electors cast the official vote) (and finally at number 4 the first candidate to 270 wins the election)

please answer this!
giving brainliest

Answers

Answer:

5. 65

6. 80

7. m<7 and m<2

Which expression is equivalent to 1/3 p + 15


1/3 (p+45)
1/3 (p+5)
3 (p+45)
3(p+5)

Answers

Answer:

[tex]1/3 (p+5) [/tex]

Step-by-step explanation:

[tex]1/3 p + 15 = \frac{1}{3} p + 15 = \\ \frac{p + 5}{3} = \frac{1}{3} ( p+ 5)[/tex]

♨Rage♨

Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for each hour that he spends in the water. Josh spends 4.5 hours on the river. How much did he spend?

Answers

$29.865 your welcome

Personal Finances Practice Active 1 2 You are starting a new job in sales for the company Buy 'n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary a $21,650 C. $20,800 b. $18,798 d. $19,980​

Answers

Answer:

C.20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Solve this please to get brainliest


I can be late, I can be early, I can be astronomical or atomic and my insides are incredibly complex. What am I?

Answers

Answer:

Clock

Step-by-step explanation:

The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.

What is the image point of
(1,4)(1,4)
(1,4) after a translation left 5 units and down 5 units?

Answers

Answer:

(-4,-1)

Step-by-step explanation:

rounding to the nearest tenth, which of the following give an overestimate?

45.07 × 3.45


19.74 × 5.53

8.16 × 60.29

2.92 × 77.81

32.86 × 10.4​

Answers

1. 157.5108.35

2. 108.35

3. 494.46

4. 233.7

5. 342.16

Step-by-step explanation:

Someone please help
Me with this

Answers

The equation of the line is,


y= 1/3x + 1.

Answer:

y= 1/3x + 1.

Step-by-step explanation:

Math help! DUE IN 30 MINUTES (50 points)

Answers

Answer: i won't tell you the answer but i will break it up for you so i can make easier for you

Step-by-step explanation: (-5x^2) (y^c) x (x^5) (2y^3)(5x^7)(y^6)(2)  Or for the ones for  numerator and denominator you can do this

(x^5)

____     =    ( -5x^7)

                   ______

                   (2)

(2y^3)

So for the one with numerator and denominator i got a stuck on a little but i tried doing this way if you like this way i can keep it like this if you dont i can change it

In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.

What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?

Answers

Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.

We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.

What is a function?

A function is a relation in which each value of x corresponds to some value of y.

How to determine the features of a function?

When we see some functions, they have the same quality of giving one result for one  input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.

Learn more about functions at https://brainly.com/question/10439235

#SPJ2

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)

Answers

Answer:

350.62 feet

Step-by-step explanation:

A goose is flying horizontally at an altitude of 300 ft and a speed of 50 ft/sec passes directly over a pond. Find the rate at which the distance from the goose to the pond is increasing when it is 500 ft away from the pond.

Answers

Answer:

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Step-by-step explanation:

We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:

[tex]x^{2}+y^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Horizontal distance of the goose from pond, measured in feet.

[tex]y[/tex] - Vertical distance of the goose from pond, measured in feet.

[tex]r[/tex] - Resultant distance of the goose from pond, measured in feet.

We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):

[tex]2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r[/tex]

[tex]x\cdot \dot x + y\cdot \dot y = r\cdot \dot r[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (Eq. 2)

Where:

[tex]\dot x[/tex] - Rate of change of horizontal distance, measured in feet per second.

[tex]\dot y[/tex] - Rate of change of vertical distance, measured in feet per second.

[tex]\dot r[/tex] - Rate of change of resulting distance, measured in feet per second.

If we know that [tex]x = 500\,ft[/tex], [tex]y = 300\,ft[/tex], [tex]\dot x = 50\,\frac{ft}{s}[/tex] and [tex]\dot y = 0\,\frac{ft}{s}[/tex], the rate at which the distance from the goose to the pond is increasing is:

[tex]\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}[/tex]

[tex]\dot r \approx 42.875\,\frac{ft}{s}[/tex]

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

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