Answer:
x = 10
Step-by-step explanation:
(3x)/2 = 15 is your question.
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).
First, multiply 2 to both sides
((3x)/2) = (15)(2)
3x = (15)(2)
3x = 30
Next, to isolate the variable (x), divide 3 from both sides
(3x)/3 = (30)/3
x = 30/3
x = 10
x = 10 is your answer
~
Answer:
The explicit form f(n) is 
Step-by-step explanation:
A sequence is arithmetic if the difference between each consecutive terms is a constant.
The explicit formula of an arithmetic sequence is:

Where d is the common difference, a1 is the first term of the sequence and an is the nth term.
In order to obtain the common difference, you have to subtract two consecutive terms:
For the first and second terms:
2a+1 - a = a+1
For the second and third terms:
3a+2 - (2a+1)=
Applying the distributive property:
3a+2-2a-1= a+1
Notice that the difference of any two consecutive terms is the same. Therefore:
d=a+1
Also, a1=a (The first term)
Replacing in the explicit formula:

3x + 8 = 9 + 4x :First, subtract the 8 over to the right
3x = 1 + 4x :Then, subtract the 4x over to the left
-x = 1 :Then, divide the whole equation by the -1 attached to the x
<em><u>x = -1</u></em>