The cooper family, consisting of 6 children and 2 adults, goes to the movies and pays a total of $86. the griffen birthday party, consisting of 10 children and 3 adults, pays a total of $139 for tickets. let x = the cost of a child ticket and y = the cost of an adult ticket. how much does a child's ticket cost and how much does an adult ticket cost?

The cost of child's ticket = $10

The cost of adult ticket = $ 13

Step-by-step explanation:

Let x be the cost of a child ticket and y be the cost of an adult ticket.

Then According to the question, we have

Multiply equation (1) by 3 and equation (2) by 2, then we have

Subtract equation (1) from equation (2), we have

Substitute the value of x in equation (1), we get

Hence, the cost of child's ticket = $10

The cost of adult ticket = $ 13

b = -10, c = -106

Step-by-step explanation:

Given

Quadratic function

g(x) = ax^2 + bx + c

with the roots:

(-5+9i) and (-5-9i)To find b and c if a = -1Solution

As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:

(-5 + 9i) + (-5 - 9i) = -b/-1-10 = bb = -10

And

(-5 + 9i)(-5 - 9i) = c/-1(-5)² - (9i)² = -c25 - 81(-1) = -c- c = 25 + 81 - c = 106c = -106

g(x) = -x² -10x - 106