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SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
SAT Math: Isolating a Variable with Fractions and a Little Common Sense 0 Views
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Description:
Given the function shown above, if f(x) = 2, which of the following expressions represents c?
Transcript
- 00:00
Yeah Whoa Okay At SETI mash bumpers a couple more
- 00:05
for you here in the equation Land scheme got f
- 00:09
of X is one over X plus two minus C
- 00:11
over exposed for giving the function shown above If F
- 00:13
of X is chu which of the following expressions represents
Full Transcript
- 00:17
Cee We knew this problem the easy way or the
- 00:20
hard way Oh let's do it the easy way says
- 00:23
everyone ever The hard way would be to approach this
- 00:25
problem by finding a common denominator and then start adding
- 00:29
the two fraction together right away But here's the deal
- 00:32
See only shows up in one of the fractions so
- 00:35
we can just isolate that fraction on one side of
- 00:37
the equation Then get rid of everything that isn't wet
- 00:40
Yeah everything that is in the sea Okay Don't forget
- 00:44
that F of X equals two right here so we're
- 00:46
going to rewrite it to equals this and we're going
- 00:48
to move things around a little bit Subtract two from
- 00:51
this side add back See overexposed four on this side
- 00:54
Now these are two fractions we'd like to put together
- 00:56
so we're going to a factory in an X plus
- 00:59
two there And then Well it gets us come and
- 01:01
denominator there And then we've got C over expose for
- 01:04
is one minus two x minus four over exposed to
- 01:07
We're just multiplying out to there to the two exit
- 01:09
on the four Okay And then what do we have
- 01:11
Let's say we've got to see Overexpose four is negative
- 01:15
Two x minus three over X plus two Okay Now
- 01:17
to blast that X plus four out of there leaving
- 01:20
sweet sweet see behind What does that get us Well
- 01:22
let's say we got the quantity Negative two ex money
- 01:25
three times quantity expose for over exposed to And let's
- 01:29
get rid of the bottom parentheses there on the rewrite
- 01:31
and well it looks like that Well here's our answer
- 01:34
It's right there You see equals negative quantity to explosive
- 01:37
Ream him how it's done
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