A family of 2 adults and 3 children go to the movies. Adult tickets are $2.50 less than twice a children's ticket. If the total of the bill is $47.75, hat are the costs of each ticket.

The cost of a child ticket is $6.91 and an adult ticket is $11.32.

Step-by-step explanation:

Given:

A family of 2 adults and 3 children go to the movies.

Adult tickets are $2.50 less than twice a children's ticket.

The total of the bill is $47.75.

Now, to find the costs of each ticket.

Let the cost of a child ticket be

So, the cost of an adult ticket = .

Family of 2 adults and 3 children go to the movies.

The total of the bill is $47.75.

Now, to get the costs of each ticket:

Adding both sides by 7.50 we get:

The cost of child ticket = $6.91.

Now, to get the cost of adult ticket by substituting the value of :

The cost of adult ticket = $11.32.

Therefore, the cost of a child ticket is $6.91 and an adult ticket is $11.32.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2