Answer:
<h2>n = 8</h2>
Step-by-step explanation:
Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d
a = first term of the sequence
n = number of terms
d = common difference.
Given the first element a = 2 and 22nd to be 14
T22 = a+(22-1)d = 14
a+21d = 14
Substtuting a = 2 into the equation to get d
2+21d = 14
21d = 12
d = 12/21
d = 4/7
The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;
Tn = 2+(n-1)4/7
Given Tn = 6
6 = 2+(n-1)4/7
6 = 2+4/7 n - 4/7
6-2+4/7 = 4/7 n
32/7=4/7 n
32 = 4n
n = 32/4
n = 8
Answer:

Step-by-step explanation:
Using the rules of exponents
×
=
,
=
,
= 
Simplifying the product of the first 2 terms
× 
=
× 
= 
Simplifying the third term
5(
= 5
= 5
Performing the division, that is
← cancel
on numerator/ denominator leaves
= 
Answer:
y=5/2x
Step-by-step explanation:
5x=2y
y=5/2x
you cant get ordered pairs from this directly you will only get an equation
Answer:

Step-by-step explanation:
The given functions are:

and

Now,


The domain refers to values of
for which
is defined.
The expression under the radical sign must not be negative.
The domain is

Hope this helps you, and good luck in the future :)