The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $132 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket: 132 = one-halfx 2(x − 9) what is the regular price of a child's ticket?

264=x+4x-36

5x=264+36

5x=300

x=60

Regular price for a child=60-9=51

i hope this is what you were looking for.

see attached graph

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct