Answer:
terms- + -
variables- x p
coefficent-7 3
constant- 9
Step-by-step explanation:
Answer:
FIRST EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
SECOND EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression
, you get:
If
→ 
If
→ 
If
→ 
- For the second expression
, you get:
If
→ 
If
→ 
If
→ 
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.
Recall Euler's theorem: if
, then

where
is Euler's totient function.
We have
- in fact,
for any
since
and
share no common divisors - as well as
.
Now,

where the
are positive integer coefficients from the binomial expansion. By Euler's theorem,

so that

Answer:
Step-by-step explanation:
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest