Suppose that there are two types of tickets to show: advance and same-daythe combined cost of one advance ticket and one same-day ticket is $55. for one performance, 25 advance tickets and 30 same-day tickets were sold. the total amount paid for the tickets was $1450 . what was the price of each kind of ticket?

the price of one advance ticket is $40

the price of one same day ticket is $15

Step-by-step explanation:

Let x represent the price of one advance ticket.

Let y represent the price of one same day ticket.

The combined cost of one advance ticket and one same-day ticket is $55. This means that

x + y = 55

For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1450. This means that

25x + 30y = 1450 - - - - - - - - -1

Substituting x = 55 - y into equation 1, it becomes

25(55 - y) + 30y = 1450

1375 - 25y + 30y = 1450

- 25y + 30y = 1450 - 1375

5y = 75

y = 75/5 = 15

Substituting y = 15 into x = 55 - y, it becomes,

x = 55 - 15

x = 40

idk

step-by-step explanation:

idk

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1