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

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

23

step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column