Answer:
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Step-by-step explanation:
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n
The inverse will be 2x+3/4 or D in your picture
Answer:
x = 1
Explanation:

Rule: log(a) + log(b) = log(ab)

cancel out log on both sides

relocate constant variable

take 3 as a common factor

divide both sides by 3

middle term split

factor common terms

collect into groups

set to zero

relocate variables

There must be a positive solution for log, so the solution is only x = 1