ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Math Diagnostic Videos 40 videos

PSAT 1.9 Math Diagnostic
197 Views

PSAT 1.9 Math Diagnostic. What is the maximum size widescreen TV Abby can purchase?

PSAT 1.36 Math Diagnostic
170 Views

PSAT 1.36 Math Diagnostic. If f represents the cost of his food, which of the following represents Jasper's order?

PSAT 1.38 Math Diagnostic
180 Views

PSAT 1.38 Math Diagnostic. What is f(g(x))?

See All

PSAT 1.24 Math Diagnostic 200 Views


Share It!


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

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

Related Videos

Secret Ingredients
391 Views

PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?

PSAT 1.1 Reading Diagnostic
1006 Views

PSAT 1.1 Reading Diagnostic. The main purpose of the first two paragraphs is to...what?

PSAT 2.2 Reading Diagnostic
379 Views

PSAT 2.2 Reading Diagnostic. What is the main rhetorical effect of this phrase in the second paragraph?

PSAT 1.3 Writing Diagnostic
282 Views

PSAT 1.3 Writing Diagnostic. To make the paragraph most logical, sentence 2 in the second paragraph should be placed...where?

PSAT 1.4 Writing Diagnostic
239 Views

PSAT 1.4 Writing Diagnostic. Which choice most effectively combines the two sentences in the underlined portion?