Afamily of 7 bought tickets to the circus. each family member also bought a souvenir that cost $6. the total amount they spend was $147. how much did one ticket cost?

x = 15

Step-by-step explanation:

y = family members = 7

x = cost of ticket

7x + 6y = 147

Substitute 7 for y:

7x + 6(7) = 147

7x + 42 = 147

Subtract 42 on both sides:

7x + 42 = 147

     - 42    -42

7x = 105

Divide both sides by 7:

7x = 105

x = 15

could you reply to this with the question so i can ?

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.