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Mathematics 22 Online
OpenStudy (anonymous):

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.

OpenStudy (anonymous):

I've already done 1 and 2 but here they are

jimthompson5910 (jim_thompson5910):

The link doesn't work

OpenStudy (anonymous):

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:______ Using those points as zeros, construct the polynomial function, f(x), that will be the path of your rollercoaster. Show all of your work. Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences. Solve 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. 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.

OpenStudy (anonymous):

hmm let me see

OpenStudy (anonymous):

does that one work?

jimthompson5910 (jim_thompson5910):

this is what I see when I click the link (see attached image)

OpenStudy (anonymous):

-_- hold on

OpenStudy (anonymous):

OpenStudy (anonymous):

when you click the link does it let you enter info?

jimthompson5910 (jim_thompson5910):

yeah log in info

OpenStudy (anonymous):

i trust that you won't go into my school account and screw with things correct?

jimthompson5910 (jim_thompson5910):

No don't give me your login info

OpenStudy (anonymous):

i really need help tho

OpenStudy (anonymous):

/Users/plohrbach/Desktop/Screen Shot 2013-11-14 at 6.06.10 PM.png

OpenStudy (anonymous):

is that clickable?

jimthompson5910 (jim_thompson5910):

you have to attach it

OpenStudy (anonymous):

OpenStudy (anonymous):

ok there finally

OpenStudy (anonymous):

now to brief you my three points are 5, -4, and ,-13 for #1. for #2, i set my polynomial up like this :y = (x - 5)(x + 4)(x + 13)

OpenStudy (anonymous):

is everything good so far?

jimthompson5910 (jim_thompson5910):

points are ordered pairs, not single numbers

jimthompson5910 (jim_thompson5910):

something like (2,3) is a point

OpenStudy (anonymous):

i know but my x values what i mean

jimthompson5910 (jim_thompson5910):

well if they lie on the x axis, your points will be of the form (x,0) where x is any number

OpenStudy (anonymous):

so what would be 3 good points that don't go into the buildings but still adhere to the rules in the question of plummeting and going over?

jimthompson5910 (jim_thompson5910):

It says the roller coaster will "coast over a hill", but I don't see any hills in the picture. All I see are buildings.

OpenStudy (anonymous):

the hill is the thing that looks like a square at the left side of the pic

jimthompson5910 (jim_thompson5910):

ok, then you need to pick a root that's between the first two buildings to make sure it goes underground between them then you need to pick a root that's between the building and the hill finally, you need to pick a root that's to the left of the hill

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

no i think we have a misunderstanding there is not supposed to be a hill the graph should look like this:|dw:1384471490192:dw| this is just a rough draft

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