Recall the binomial theorem.

1. The binomial expansion of
is

Observe that


When we multiply these by
,
•
and
combine to make 
•
and
combine to make 
and the sum of these terms is

2. The binomial expansion is

We get the
term when
:

Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago
Answer:
x > -5 in the answer
Step-by-step explanation:
(5 - 3x) / 4 < 5
multiplying both sides by 4:-
5 - 3x < 20
-3x < 15
x > 15/-3
x > -5 (Note the inequality sign is flipped because we are dividing by a negative number)
Answer:
C. 8.52624...
Step-by-step explanation:
The reason that C is different is because all of the other decimals are terminating decimals (meaning that they end or stop), while C is a repeating decimal, because it never ends.