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PSAT Math Diagnostic Videos 41 videos
PSAT 1.1 Math Diagnostic. If a rabbit consumes 3 meals a day, how many grams of food will a rabbit consume in 7 days?
PSAT 1.10 Math Diagnostic. Which of the following is a factor of the expression?
PSAT 1.3 Math Diagnostic. Which of the following most nearly represents the line of best fit?
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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