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PSAT 1.37 Math Diagnostic. Which of the following forms of the function f(x) would best reveal the number of employees that should be hired to maxi...
PSAT 1.24 Math Diagnostic 200 Views
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Description:
PSAT 1.24 Math Diagnostic. Which of the following is one solution to the system of equations shown above?
Transcript
- 00:00
Thank you We sneak and here's your smoke du jour
- 00:05
rock to you by intersections Ifyou're a pedestrian be prepared
- 00:09
Drivers are going to yell at you that's Why they
- 00:11
call it a cross walk All right F backs equals
- 00:15
x squared plus three x plus four g of x
Full Transcript
- 00:17
equals negative for x minus six Which of the following
- 00:20
is one solution to the system of equations shone above
- 00:23
and here the answers all right Got points on a
- 00:25
graph and that nun thing Oh system of equations How
- 00:29
do we love the let us count the ways one
- 00:32
uh we're done That was fast Okay so there may
- 00:35
not be a tunnel love loss when it comes to
- 00:37
these little fellers but they're really not so bad As
- 00:39
long as you know howto came them We've got two
- 00:42
equations and the question wants to know which point if
- 00:45
any would be a solution While the solution was system
- 00:47
of equations is always the point or points where the
- 00:49
equations intersect So we can set these to equal one
- 00:53
another and then just solve for x So here we
- 00:55
go that's how they equal each other And now to
- 00:57
simplify We can add for x to both sides and
- 01:00
then do the same thing with six to get x
- 01:01
squared plus seven exposed ten is zero now it's a
- 01:05
matter of factoring Well since we have seven x in
- 01:07
the middle of our polynomial we'll need to use five
- 01:10
times too to get ten there on the end and
- 01:13
in the end it's gonna factor into the quantity x
- 01:15
plus five times Quantity x plus two equals zero Now
- 01:19
we know the equations will intersect at x equals negative
- 01:21
five and x equals negative to so much negativity Somebody
- 01:26
turned on nickelodeon Okay from here we can just take
- 01:29
each of those values and plug him back into either
- 01:31
equation to find why And remember even though it says
- 01:34
g a vexing the original equation that's really The same
- 01:37
thing is why it just likes to play dress up
- 01:39
Now the negative for x minus six equation looks much
- 01:42
less likely to bite So we'll go with that one
- 01:44
Negative four times Negative five His positive twenty So we
- 01:48
get twenty minus six equals Why so Yeah why equals
- 01:51
fourteen Which means that one point that will solve this
- 01:53
System of equations is negative five fourteen which is answer
- 01:57
a bull's eye If we were to try the same
- 01:59
thing with native to we'd wind up with the point
- 02:01
negative to two which looks something like option b but
- 02:04
ain't quite there So is our final answer Uh finding
- 02:08
the solution has helped us gain inner peace and will
- 02:11
ease our road race Excuse us for a second We 00:02:14.08 --> [endTime] see another pedestrian coming
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