The price that a company charged for a basketball hoop is given by the equation 50-5x^2 where x is the number of hoops that are produced, in millions. it costs the company $30 to make each basketball hoop. the company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. approximately how many basketball hoops did the company previously produce to make the same profit?
1.3 million hoops
1.4 million hoops
15 million hoops
30 million hoops

1.3 million hoops did the company previously produce to make the same profit.

Step-by-step explanation:

Given:  An equation for the price of the basket hoop:  .

The cost that company make each basketball hoop is  .

Let the number of hoops in million be x.

First determines the profit,

We multiply the given equation with the number of hoops sold and then subtracted by the cost make hoops.

Then,  Profit=Total Revenue-Total Cost

Profit=

We have to find the number of basketball hoop did the company previously to yield a profit of 15 million dollars.

∴

Now, by use of graphical solution:

we get the value of x=1.3 million hoops(Approximately).

Therefore, Approximately 1.3 million  basketball hoops did the company previously produce to make the same profit $15 million.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110