All of the following are epuivalent forms 9/11 except
1 answer:
Answer: Except (4) but see detail below
Precisely speaking,
Looking over the choices, only 72/88 = 9/11 is precisely "equivalent" so all of (1), (2), and (4) would be EXCEPT.
But because K12 teachers' language may sometimes be sloppy, "equivalent" may also mean "approximate." If that is the case (I let you make the call if the premise is true): the following are definitely not 9/11:
1.22 (is greater than 1)
It could also be that the original question had the "overline" mark to mean "periodic" over the 81 parts, like this:
which then means they are equivalent, leaving truly only 1.22 is the one non-match
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The simplified form of the given expression is
.
The steps to simplify a fractional expression are:
- Factorize the expressions both in the numerator and the denominator using different methods
- Remove the common terms in the numerator and denominator
- Thus, the simplified expression will be obtained.
The given expression is
Factorizing the numerator:
x² - 4x - 21 = x² - 7x + 3x - 21
= x(x - 7) + 3(x - 7)
= (x - 7)(x + 3)
Then,
=
common factor (x + 3) is canceled out from both the numerator and the denominator
So,
=
Therefore, the simplified expression is .
Learn more about simplifying an expression here:
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