-2t^2+4t+30 in vertex form

- 2(t - 1)² + 32

Step-by-step explanation:

Given

- 2t² + 4t + 30

Use the method of completing the square to express in vertex form.

The coefficient of the t² term must be 1, so factor out - 2 from the first 2 terms.

= - 2(t² - 2t) + 30

To complete the square

add/subtract ( half the coefficient of the t- term)² to t² - 2t

= - 2(t² + 2(- 1)t + 1 - 1) + 30

= - 2(t - 1)² + 2 + 30

= - 2(t - 1)² + 32

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153