Simplify the rational expression . x^2+9x+20/x+7The quotient is , and the remainder is .
1 answer:
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The mother is older than her daughter by years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴ = daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m -
- Change 1 m to a fraction of denominator 4, then 1 m =
∴ The difference between their ages = -
=
∴ The mother is older than her daughter by years
The mother is older than her daughter by years
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Answer:
Required rule for is
.
Step-by-step explanation:
Given that,
From the question: we have to write the term of Arithmetic sequence.
Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.
where, is the first term of A.P
is the common difference.
is the last term or general term.
The above sequence to be in A.P then their common difference should be equal.
Now, Formula of General Term is
So,
Substituting the value of we get,
Then General term () of given data is
Therefore, Required rule for is
.