Question

As one of the new rollercoaster engineers, you have been tasked with developing a rollercoaster that will intertwine with existing Oakville Lake Amusement Park structures. For one of the more thrilling sections, the rollercoaster will dive down in-between buildings, plummet underground, pop back up, and coast over a hill before shooting back underground. There must be three distinct points where the rollercoaster crosses the x–axis. Precise measurements and attention to detail are very important.

Answer 1

https://www.connexus.com/extra/ThirdPartyProviders/FLVS/29392_29394_AlgII_v13_FLVS_st/module04/images/04_05_assessment/04_05_assessment.jpg

Answer 2

here is the graph that goes with it..

Answer 3

First, here is the existing map of current structures. It is important that the rollercoaster does not go through the foundation of any of these structures. Pick three points on the x–axis that the rollercoaster will dive underground or resurface. (Points that have a building on them are off-limits.)

The rollercoaster will run from right to left, so work in that order when selecting points.
1st point:______
2nd point:______
3rd point:______

Answer 4

@SolomonZelman

Answer 5

i know its a lot but id appreciate it so much if you could help

Answer 6

Googling doesn't quite seem to work....
http://openstudy.com/study#/updates/527d0b2fe4b097c64057113e

Answer 7

Do you need an equation for it?

Answer 8

what is with the link lol

Answer 9

which link?

Answer 10

nvm but just look at 1 and see if you could figure it out

Answer 11

http://openstudy.com/study#/updates/526a9861e4b08ed552540a02

Answer 12

it starts with first, here is the existing map of balblabla

Answer 13

Found this.

Answer 14

?

Answer 15

Doesn't help?

Answer 16

no haha i have literally no idea what to do

Answer 17

oh crap i see the link now

Answer 18

umm looks a little long haha

Answer 19

but it gives the graph
and I think the equation also.

Answer 20

GRAPH
http://assets.openstudy.com/updates/attachments/526a9861e4b08ed552540a02-phi-1382723041005-polynomial.png

Answer 21

ok

Answer 22

the red line is g(x) = x3 – 2x2 + 4x – 8,
and the blue line is h(x) = x3 + 5x2 – 8x – 48.

Answer 23

I am not good at functions.

Answer 24

But a little good at researching.

Answer 25

haha yes you are bro

Answer 26

Accidentally undid the medal.

Answer 27

Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences.

Answer 28

that helps, but it only answers 2 of the questions and there is 5 total. that is the third.

Answer 29

btw, my three points for #1 are 5, -5, and -14 as they cross the x-axis

Answer 30

@SolomonZelman

Answer 31

what is the rest unanswered questions?

Answer 32

#3 Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences.

#4Solve for the y–intercept for your function, f(x), and then construct a rough graph of your rollercoaster. If your y–intercept is off the graph, give the coordinates of the y–intercept.

#5 Two competing engineers have offered their solutions for the function. One has suggested g(x) = x3 – 2x2 + 4x – 8, and the other has suggested h(x) = x3 + 5x2 – 8x – 48. Explain to the C.E.O. of Oaville Lake Amusement Park why these other suggestions are invalid. Use complete sentences.

Answer 33

those are it

Answer 34

What are the theories discussed in the lesson?

Answer 35

solving polynomial equations

Answer 36

Copy-Paste now dosen't seem to work in OS. or is it just with me?

Answer 37

i think its just you

Answer 38

what is it that you are having tech issues with, @╰☆╮Openstudier╰☆╮?

Answer 39

I can't copy or paste anything in Os

Answer 40

Try to copy paste text.

Not even that or?

Answer 41

solomon i have to go soon, so if you could help it'd be awesome

Answer 42

For number 3, Can you tell me the theories discussed in the lesson?

Answer 43

two theorems would be the rational root theorem and the remainder theorem

Answer 44

Not good at those. I can do number 4.
Hold on.

Answer 45

ok

Answer 46

wait i know #4 my y intercept is -350 lol i just don't know how to draw the graph

Answer 47

-5
4
-13

Answer 48

the graph is going to intersect the x-axis at (0,4) (-5,0) &(0,-13)
I think.

Answer 49

wait no sorry do you think i could use the same coordinates as the other girl without them thinking im cheating or no

Answer 50

Is it possible to use different ones?

Answer 51

i think, but its a really small window and i don't think they'll suspect anything

Answer 52

Probably not.

Answer 53

ok then, ill use hers

Answer 54

hold on a sec

Answer 55

you can ask her, and other classmates.

Answer 56

y = (x - 5)(x + 4)(x + 13)
this is my function and the three points are 5, -4, and -13