One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4. Write a quadratic function that gives the initial cost of buying x tickets.

f(x)=104x-x^2

Step-by-step explanation:

Let

x = number of tickets sold.

example, 2 tickets cost 2 · 408 = $816

3 tickets cost 3 · 404 = $738.

The cost of buying x tickets= the number of tickets sold × the price of each ticket.

If x tickets are sold, then the price of each ticket is 412-4(x-1)

Then the quadratic function that gives the total cost of buying x tickets is given by

Cost =quantity sold*price

=412-4(x-1)*x

=(412-4x+4)*x

=412x-4x^2+4x

=416x-4x^2

Divide through by 4

=104x-x^2

Therefore, the required quadratic function is

f(x)=104x-x^2

answer: h

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.