Given:
The inequalities are:
a) 
b) 
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,

After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of
are
.
b)
We have,

After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of
is
.
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
Answer:
a
Step-by-step explanation:
-2 over 3 is it cuz -4 over 6 simplifies to that and all the others do too
Answer:
20.22 miles
Step-by-step explanation:
If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22
First multiply (4x5)
Then find 2 cubed = 2x2x2= 8
Then divide 20 by 2= 20/2=10
Then 10-8= 2