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Mathematics 22 Online
sammixboo (sammixboo):

http://prntscr.com/6g3c6y @KaylaIsBae

OpenStudy (samanthagreer):

im sorry i have no idea p.s i love you profile pic btw

sammixboo (sammixboo):

It's for my sister she can't post her question

OpenStudy (anonymous):

thanks sam and it won't let me close it i refreshed and stuff

OpenStudy (anonymous):

@Nnesha

OpenStudy (anonymous):

i think a is (-3, -3) cause that is where they intersect right?

sammixboo (sammixboo):

I believe so

OpenStudy (nincompoop):

that's easy

OpenStudy (anonymous):

and B would be (1, 1) and (-6, -6)

OpenStudy (nincompoop):

we know right away that f(x) = x

OpenStudy (nincompoop):

and to solve for the downward slope p(x), we need to use their intercepts

sammixboo (sammixboo):

Yeah

OpenStudy (anonymous):

If by solutions they are asking for f(x) then it is easy A) F(x) = -3

OpenStudy (nincompoop):

no

OpenStudy (anonymous):

solution would be the point wherethey intersect right

Nnesha (nnesha):

solution where both lines intersect

Nnesha (nnesha):

yep right

OpenStudy (anonymous):

yeah, so part A would be (-3, -3)

OpenStudy (nincompoop):

ye

Nnesha (nnesha):

yes right

OpenStudy (anonymous):

ok so what I got for part B is (1, 1) and (-6, -6) I can just choose any points that are on f(x) right

OpenStudy (nincompoop):

like I said for f(x) = x so any value of x will yield the same value for y, since f(x) is another way to represent y

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

what i mostly wanted help on was part C

OpenStudy (nincompoop):

so are you ready for g(x)?

OpenStudy (nincompoop):

:)

OpenStudy (anonymous):

yeah

OpenStudy (nincompoop):

what do you think that graph represent? is it a parabola or what?

OpenStudy (anonymous):

parabola? what's that and it is a curved line and exponential function

OpenStudy (nincompoop):

well that doesn't really matter, because p(x) = g(x) is the same as solving for the intersection

OpenStudy (anonymous):

yeah when it says p(x) = g(x) its telling you that the y values are the same cause p(x) = y and g(x) = y

OpenStudy (nincompoop):

the equality represent where two equations intersect it could be at one particular point or at many points

OpenStudy (nincompoop):

but clearly, from the graph provided it is intersecting at one point and it is at (-6, 1) you don't even need the actual equation for the other graph, you just need to demonstrate that you know p(x) = g(x) meant at an intersection

OpenStudy (anonymous):

the y value where they intersect is 1, but how do I justify my answer

OpenStudy (anonymous):

p(x) = 1 g(x) = 1

OpenStudy (anonymous):

I have the answer and stuff for part C I just don't know how to type it out ya know

OpenStudy (nincompoop):

that's all you have to say the equality represent same values for the two functions, that is at intersection AT intersection, two different functions (or equations) will have the same values

OpenStudy (anonymous):

so the solution to p(x) = g(x) is 1, correct

OpenStudy (nincompoop):

how is it 1?

OpenStudy (anonymous):

that's the y value of the coordinate where they intersect at

OpenStudy (nincompoop):

there is ONE solution, you mean?

OpenStudy (anonymous):

see its asking for the solutions then its asking for me to justify how I got it

OpenStudy (nincompoop):

the intersection is not clearly at 1, because 1 is not a coordinate system in a 2D space

OpenStudy (anonymous):

(-6, 1)

OpenStudy (nincompoop):

there you go

OpenStudy (anonymous):

so (-6, 1) is the solution

OpenStudy (nincompoop):

correct x= -6

OpenStudy (nincompoop):

y = 1

OpenStudy (anonymous):

so I would just say (-6, 1) is the solution because that is where lines p(x) and g(x) intersect

OpenStudy (nincompoop):

correct

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

@sammixboo ou can close this now

OpenStudy (nincompoop):

math is fun

sammixboo (sammixboo):

Ok tell me if you still need me to post your questions

sammixboo (sammixboo):

:)

OpenStudy (anonymous):

sometimes @nincompoop haha

OpenStudy (anonymous):

i just hate functions

OpenStudy (anonymous):

radicals are fun and other things but not functions

OpenStudy (nincompoop):

learning about intersections has a lot of applications you can use them to determine debts, salary, or even profit and in physical sciences, you can use it to represent where two objects might hit each other

OpenStudy (anonymous):

yeah its pretty important

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