The temperature in anchorage ,Alaska was 4 degrees at 2:00 pm. The temperature dropped 2.5 degrees per hour until 9:00 pm. The temperature dropped another 9 degrees by midnight. How much colder was it at midnight than at 2:00 pm?

It was 26.5 degrees colder at midnight than at 2:00 pm

Step-by-step explanation:

We have that:

At 2:pm, it was 4 degrees.

The temperature dropped 2.5 degrees per hour until 9:00 pm.

From 2pm to 9pm, there are 7 hours. 2.5 per hour, it was 4 degrees at 2 pm.

So at 9 pm the temperature is:

4 - 2.5*7 = -13.5

The temperature dropped another 9 degrees by midnight.

At midnight, the temperature is -13.5 - 9 = -22.5 degrees

How much colder was it at midnight than at 2:00 pm?

2pm: 4 degrees

Midnight: -22.5 degrees

How much coldren

-22.5 - 4 = -26.5

It was 26.5 degrees colder at midnight than at 2:00 pm

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11