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Mathematics 14 Online
rootbeer003:

help

rootbeer003:

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satellite73:

a)list all factors of 18, don't forget the \(\pm\)

rootbeer003:

i put that?

satellite73:

no, you do that !!

rootbeer003:

u wont help

rootbeer003:

k lets see

rootbeer003:

i dont get it

satellite73:

what numbers go in to 18 evenly?

rootbeer003:

2, 3, 6, 9

satellite73:

also 1 and 18

rootbeer003:

kk

satellite73:

and like i said, don't forget the \(\pm\) in front of each

satellite73:

do you know how to do synthetic division? it is real easy, but very hard to write here

rootbeer003:

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rootbeer003:

lemme look it up

satellite73:

ok your answer there is good

rootbeer003:

looks confusing.. but go on

satellite73:

\[~~1~~-3~~-7~~15~~18\]

satellite73:

that is a list of the coefficients since you are dividing by \(x-3\) you put a \(3\) on the side \[

satellite73:

\[~~1~~-3~~-7~~15~~18\\3\]

satellite73:

then you drop down the 1

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3\\ ~~~1\]

rootbeer003:

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satellite73:

ok but you do not need that line above, the answer will be below 3 times 1 is 3

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~\\ ~~~1\]

rootbeer003:

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satellite73:

that didn't work, let me try again

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~3\\ ~~~1\]

satellite73:

one more time

rootbeer003:

cant u draw it

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~~~3\\ ~~~1\]

satellite73:

that second 3 should go under the -3

satellite73:

then \(-3+3=0\)

rootbeer003:

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satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~~~~~3\\ ~~~1~~~~0\]

satellite73:

you need three rows all together write it like i am trying to write it

rootbeer003:

kk

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~~~~~3~~~~~~0\\ ~~~1~~~~0~~~~~~-7\]

rootbeer003:

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satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~~~~~3~~~~~~0~~~~-21\\ ~~~1~~~~0~~~~~-7~~~~-6\]

satellite73:

your 1 should be on the bottom row, one more line and we are done

rootbeer003:

what about between 1 and 1?

rootbeer003:

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rootbeer003:

?

satellite73:

\[~~~1~~-3~~-7~~15~~18\\ 3~~~~~~3~~~~~~0~~~-21~~~-18\\ ~~~1~~~~0~~~~-7~~~-6~~~0\]

satellite73:

i told you it was hard to write here

rootbeer003:

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satellite73:

see if you can line them up the 3 on further to the left the 1 is directly under the top 1, but on the bottom row

rootbeer003:

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satellite73:

second one is perfect

rootbeer003:

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satellite73:

now we have to write the answer, which you get from the bottom line the coefficents are \[1,0,-7,-6\] so your answer to the division problem is \[x^3-7x-6\] with no remainder

rootbeer003:

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satellite73:

to finish part b), there is no remainder, so \(x-3\) goes in to \(f(x)\) evenly and so \(f(x)\) factors as \[x^4-3x^3-7x^2+15x+18=(x-3)(x^3-7x-6)\]

satellite73:

good enough, i would use a lower case x

satellite73:

for part c) "factor completely" the answer is \[

satellite73:

\[(x - 3)^2 (x + 1) (x + 2)\]

satellite73:

how you are supposed to "show your work" for that one i have no idea

rootbeer003:

lets just skip the show ur work

satellite73:

ok fine last step is to graph

satellite73:

make it look like the top one

satellite73:

http://www.wolframalpha.com/input/?i=(x-3)(x%5E3-7x-6)

rootbeer003:

ew

satellite73:

the curve should cross the x axis at -2 and -1 but just come down and touch it at 3 and go back up

rootbeer003:

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rootbeer003:

Golden.

satellite73:

good enug

rootbeer003:

yuuuuuuuuus

rootbeer003:

we have for more questions btw

rootbeer003:

four*

satellite73:

lol not if they were as long as that one

rootbeer003:

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satellite73:

a) \[4800\times (.98)^t\] where \(t\) is years after 2006

satellite73:

b) since 2018 is 12 years after 2006 it would be \[1800\times .98^{12}\] which you compute with a calculator

satellite73:

typo

satellite73:

\[4800\times .98^{12}\]

rootbeer003:

u r so fast

satellite73:

graph should look something like this http://www.wolframalpha.com/input/?i=4800*.98%5Ex+domain+0..50

rootbeer003:

3766.6402739270401602551808 do i put this

rootbeer003:

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satellite73:

no round, it is populaton

satellite73:

37667 would make more sense

rootbeer003:

3767

satellite73:

yeah that

rootbeer003:

hows my grpah

satellite73:

usual crack added graph is beautiful

rootbeer003:

:')

rootbeer003:

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satellite73:

i guess you are supposed to say there is a horizontal asymptote at \(y=0\) the x axis

rootbeer003:

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satellite73:

domain is tricky not sure how to answer it maybe you are just supposed to day "all real numbers" although that is silly for a word problem but whatever

satellite73:

the range is from wherever you start to 0, not including 0 maybe you could say the range is from your starting value, \(4800\) to 0

rootbeer003:

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satellite73:

ok good enuf

satellite73:

i like the wolfram graph better, but whatever

rootbeer003:

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rootbeer003:

i like sleeping better but here i am

satellite73:

next

satellite73:

i have no idea what a five number summery is

satellite73:

nor do i know what a box and whisker plot is you are on your own with that one

rootbeer003:

k

rootbeer003:

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satellite73:

hold on we can do the first one by cheating

rootbeer003:

kk

rootbeer003:

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satellite73:

guess you cheated quicker than i did where did you get that one?

satellite73:

ok you need to do some editing

satellite73:

first of all, get rid of "best answer"

rootbeer003:

lol

satellite73:

then everything at the end, from 4 down, has nothing to do with this question

satellite73:

and finallly you still need a box and whisker plot

satellite73:

you can use this, put it on its side https://www.easycalculation.com/statistics/box-plot-grapher.php?dat=10%2C10%2C15%2C17%2C19%2C25

satellite73:

here is a somewhat nicer one

rootbeer003:

it dont show nun

satellite73:

|dw:1497579802721:dw|

rootbeer003:

gorguss

satellite73:

it does when you put the numbers in doe

rootbeer003:

ok go ahead doe

satellite73:

Enter comma separated data (numbers only):

satellite73:

i did but when i sent you the link it doesn't save it

rootbeer003:

send me the numbers

satellite73:

the numbers in the question doe

rootbeer003:

but i might mess up doe

satellite73:

10,10,15,17,19,25 copy and paste lol

rootbeer003:

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rootbeer003:

ok doe

rootbeer003:

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rootbeer003:

this is depressing

satellite73:

yeah usually it is put on its side for you high school students

satellite73:

like the one i wrote

satellite73:

ok good all you need is the standard deviation and yes, this bull sht is depressing most statistics is

satellite73:

the standard deviation is computed in that yahoo answer, the one with the square root sign

rootbeer003:

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rootbeer003:

i gotta put all that?

satellite73:

yes, that is the standard deviation apparently

rootbeer003:

all?

satellite73:

hold on there is some mistake there

satellite73:

good thing i checked

rootbeer003:

das a good boi!

satellite73:

the data is \[10,10,15,17,19,25\]

rootbeer003:

but dis other guy has sum dif

satellite73:

right so the mean is \[\frac{10+10+15+17+19+25}{6}=16\]

rootbeer003:

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rootbeer003:

btw do i keep the box lookin thing empty?

satellite73:

yeah box is right

satellite73:

five numbers summary is wrong though because the used the wrong numbers for yahoo

rootbeer003:

great

satellite73:

i did it with an on line calculator, it is nothing here

satellite73:

minimum is 10 first quartile 10 median 16 third quartile 19 maximum 25

satellite73:

i got that from here

rootbeer003:

do i erase a

satellite73:

yeah copy what i wrote, not what yahoo wrote

rootbeer003:

do we gotta redo everything

satellite73:

the box plot is right

rootbeer003:

can we skip this and go back to it..

satellite73:

the mean is right

satellite73:

what i wrote above is right just copy it

satellite73:

there is only one thing left do to, the standard deviation, which is not hard

rootbeer003:

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satellite73:

yes standard deviation is all that is left

satellite73:

i will write it out for you

rootbeer003:

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satellite73:

\[(10-16)^2+(10-16)^2+(15-16)^2+(17-16)^2+(19-16)^2+(25-16)^2\] \[=6^2+6^2+1+1+3^2+9^2\] \[=164\] \[\sqrt{164}=12.8\]

satellite73:

wrong but we can fix it in a jif

rootbeer003:

is it fixed

satellite73:

\[\sqrt{\frac{164}{5}}=5.73\] now it is fixed

rootbeer003:

oh just the last part

satellite73:

skip the last line aboe

satellite73:

right

satellite73:

you need the \(168\) then divide by 5, take the square root

satellite73:

i mean 164,whatever

rootbeer003:

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rootbeer003:

le juicy?

satellite73:

bingo

rootbeer003:

NEXt

satellite73:

oui

satellite73:

oui,très juteux

satellite73:

next = new thread

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