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Mathematics 16 Online
rootbeer003:

help

satellite73:

don't you ever sleep?

rootbeer003:

its 7

satellite73:

in hawaii?

rootbeer003:

nope

satellite73:

oakland?

rootbeer003:

no

rootbeer003:

http://prntscr.com/e9bidt

satellite73:

ok i am out of guesses

satellite73:

la jolla? fresno?

rootbeer003:

nnonono

satellite73:

\[C=10x+15y\] yo deschutes?

rootbeer003:

should i put that on the paper?

satellite73:

why not seems reasonable

satellite73:

for the next one replace x by 5, y by 3 and compute

rootbeer003:

..

satellite73:

eugene?

satellite73:

eugene is in oregon doe

rootbeer003:

do u want my credit card number too

rootbeer003:

secrete security code?

satellite73:

why, you rich?

rootbeer003:

yeas

rootbeer003:

OK HELP ME

satellite73:

ok good credit card and also maybe routing number

satellite73:

i did, what more do you want?

rootbeer003:

like type down everything i need to know

satellite73:

\[C=10x+15y\] is the first one

rootbeer003:

andd need to type on my hw

satellite73:

\[C=10\times 5+15\times 3\] for the second one

rootbeer003:

http://prntscr.com/e9bkbp

satellite73:

or if you want extra credit, put \[C=10\times 5+15\times 3=95\]

rootbeer003:

k

satellite73:

this is an idiotic problem since it says define a variable for the unknown, but doesn't say what the question is no problem we can do it anyway

satellite73:

put \(x=\) the number of minutes allegra went over the plan

satellite73:

then the equation would be \[65+0.10x=73.40\]

satellite73:

solve for \(x\) by subtracting \(65\) from both sides, then divide both sides by \(0.10\)

satellite73:

that is your answer to D as well, when you solve it

rootbeer003:

i put all those sentences?

satellite73:

sure although you might actually want to do the arithmetic as you write it

rootbeer003:

great! thanks!

satellite73:

ytw3

satellite73:

\[65+0.10x=73.4\\ .10x=8.4\\ x=8.4\div 0.1\\ x=84\]

rootbeer003:

http://prntscr.com/e9bmln

satellite73:

i do not know the formula for simple interest, because there is no such thing do you know it?

rootbeer003:

I=prt or Interest=principle x rate x time

satellite73:

ok so \[P\times 0.4\times 3.5+P=2800\]

satellite73:

i guess, really it doesn't make any sense since if the interest is really "simple" you don't get any on half a year whatever

rootbeer003:

thats it?

satellite73:

P is the principle, r is the rate which you are told is \(4\%=.04\) and the time is \(3.5\) years

satellite73:

you still have to solve it i guess

satellite73:

first multiply \(.04\times 3.5\) use a calculator

rootbeer003:

.14

satellite73:

ok so \[.14P+P=1.14P\] solve \[1.14P=2800\] via \[P=2800\div 1.14\] use a calculator

rootbeer003:

ummm 4.0?

satellite73:

that is not what i get http://www.wolframalpha.com/input/?i=2800%2F1.14

rootbeer003:

ohh

rootbeer003:

2456.

satellite73:

yes i guess so

rootbeer003:

thats it?

rootbeer003:

http://prntscr.com/e9bpbz

satellite73:

oui

rootbeer003:

does mine look normal

satellite73:

the answer is wrong

rootbeer003:

***

rootbeer003:

OH

rootbeer003:

OOPS

rootbeer003:

http://prntscr.com/e9bpr4

satellite73:

looks right to me, but don't forget i don't know about simple interest, you do

rootbeer003:

http://prntscr.com/e9bq7a

satellite73:

yeah good luck with that

rootbeer003:

thanks

satellite73:

you just have to do it go to 2000 on the x axis, then put a dot up at the point (2000,1605) which will be approximate

satellite73:

then at 2001 go up to 1728 then at 2002 go up to 1776 then at ...

satellite73:

you just have to keep putting dots there is no way around it

rootbeer003:

http://prntscr.com/e9brg0

satellite73:

get rid of the first dot up at 2000 on the y

satellite73:

and you got a bunch more dots to fill in, but that is what you have to do real donkey work

rootbeer003:

ok next im done with this one

satellite73:

good

rootbeer003:

http://prntscr.com/e9bs57

satellite73:

http://www.wolframalpha.com/input/?i=2*ceiling(x)+domain+-2..1

satellite73:

copy and paste

rootbeer003:

http://prntscr.com/e9bste

rootbeer003:

i draw that?

satellite73:

yes, three horizontal line s

satellite73:

first one is \(y=-2\) from \(-2\) to \(-1\) then another horizontal line on the x axis from \(-1\) to \(0\) then another horizontal line at \(y=2\) from \(0\) to \(1\) just like in the picture

rootbeer003:

|dw:1487216975982:dw|

satellite73:

who said art was dead?

rootbeer003:

ik

satellite73:

yeah that will do i guess

rootbeer003:

can u add numbers to it?

satellite73:

|dw:1487217162409:dw|

rootbeer003:

beautiful

satellite73:

like van gogh

rootbeer003:

http://prntscr.com/e9bv1j

satellite73:

or picasso \https://www.youtube.com/watch?v=Kc2iLAubras

satellite73:

a) find the inverse of \[f(x)=\frac{1}{3}x+2\] put \[y=\frac{1}{3}x+2\] then switch x and y get \[x=\frac{1}{3}y+2\] and solve for y takes two steps, subtract 2 get \[x-2=\frac{1}{3}y\] then multiply by 3 to get \[3(x-2)=y\] or\[g(x)=3x-6\]

satellite73:

b) compose the functions \[f(g(x))=f(3x-6)=\frac{1}{3}(3x-6)+2=x-2+2=x\] since you get \(x\) when you compose, they are inverses

satellite73:

|dw:1487217824090:dw|

rootbeer003:

thats all?

satellite73:

yes that is all you can tell they are inverses|dw:1487217973731:dw| because they are symmetric about the line \(y=x\)

rootbeer003:

alright

rootbeer003:

http://prntscr.com/e9byb0

satellite73:

\[|4x-10|\geq 15\] solve \[4x-10\leq 15\] and then solve \[4x-1\ge

satellite73:

then solve \[4x-1\geq 15\]

satellite73:

first one \[4x-10\leq -14\\ 4x\leq -4\\ x\leq -1\]

satellite73:

second one \[4x-10\geq 14\\ 4x\geq 28\\ x\geq 7\]

satellite73:

two intervals are \(x\leq -1\)or \(x\geq 7\)

rootbeer003:

um can u put those together so it makes sense

satellite73:

no

satellite73:

anyways i made a typo

rootbeer003:

seriously

satellite73:

seriously i have to take pills and go to bed

satellite73:

lets try one more time

rootbeer003:

dont forget to put ur dentures in the container

satellite73:

\[|4x-10|\geq 14\]

satellite73:

solve \[4x-10\leq -14\\ 4x\leq -4\\ x\leq -1\]

satellite73:

then solve \[4x-10\geq 14\\ 4x\geq 28\\ x\geq7\]

satellite73:

two intervals are \[x\leq -1\] OR \[x\geq 7\]

satellite73:

and no, there is not a way to put it together, that is what you have to do

rootbeer003:

its fine

rootbeer003:

http://prntscr.com/e9c0d8

rootbeer003:

2 more

satellite73:

first graph the line \(y=\frac{3}{2}x-4\) which i can only approximate here

satellite73:

|dw:1487219162532:dw|

satellite73:

then shade the stuff below it |dw:1487219203386:dw|

rootbeer003:

show ur work!

satellite73:

i just did

satellite73:

now i feel like going to by scented candles at some new age shop in a strip mall

satellite73:

*buy

rootbeer003:

http://prntscr.com/e9c2m2

satellite73:

you have to graph those two lines

rootbeer003:

ill be faster if u do

satellite73:

\[x+y=3\] is easiest

satellite73:

put a point at \((0,3)\) and \((3,0)\) and connect the dots

satellite73:

|dw:1487219548842:dw|

satellite73:

\[y=\frac{1}{4}x-2\] put a a dot at \((0,-2)\) and \((4,-1\) and connect the dots

satellite73:

|dw:1487219677008:dw|

satellite73:

your picture will be nicer because you have the grahp

rootbeer003:

im just using urs

satellite73:

then shade the region that is in both inequaties |dw:1487219820988:dw|

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