#help-0

1 messages · Page 67 of 1

alpine sable
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i ACTUALLY UNDERSTAND

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this is exciting

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We start with 116.14 friends

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After one year it's 113.2 etc

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yea

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Alright that's great

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There are a lot of infos in your problem but if you take your time to sum it up it becomes clear

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last thing is the r^2=.58 im still kinda confused

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Well you see

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The statistician did his graph

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point by point

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And he has something that's not a line right?

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The points are not perfectly aligned

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That would be too lucky, in reality it doesn't happen

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But he needs a line so what does he do?

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He draw a line passing through the maximum number of points

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r²=0.58 is about how much points the line passes through

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The line passes through 58% of the points

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The line described by friends=(-2.94)*age+116.14 (or f=-2.94x+116.14)

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For example, here the point represents reality (the data he collected) and the line is an approximation of what's going on, r² is about whether the approximation/line is close to reality

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If you have r²=1 the points were perfectly aligned

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if r²=0 the points are everywhere and we can't really draw a good line

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yea

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im actually understanding it

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you're an amazing teacher dude

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Thx KEK

lone heartBOT
#

@alpine sable Has your question been resolved?

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whole scaffold
lone heartBOT
cobalt raptor
#

hi can someone help me with this question

whole scaffold
#

bruh

#

.close

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ornate condor
#

help w rational root theorem

lone heartBOT
ornate condor
#

so if weve some

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a3x^3+a2x^2+a1x+a0=0

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wot nao

keen plinth
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welcome

ornate condor
keen plinth
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you check the factors of a0 and the factors of a3

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and the rational roots will all be of the form +-(factors of a0)/(factors of a3)

ornate condor
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wait

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first

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so a0,a1,a2,a3

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has to b ints

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yes?

keen plinth
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lol ofc

ornate condor
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hm

keen plinth
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otherwise factors of a0 doesnt really make sense

ornate condor
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n factors means pos n neg?

keen plinth
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no i wrote a +- so

ornate condor
#

o

keen plinth
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you only need positive factors

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but like

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if you include both +-

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then you get the +- anyway

ornate condor
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hm

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then so

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this always works?

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or nani

keen plinth
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well

ornate condor
#

it always works given a rational root exists?

keen plinth
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all RRT says is all rational roots must be of the form +-(factors of a0)/(factors of a3)

ornate condor
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so a quad with

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1,1,1

keen plinth
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and nothing about whether any of them are actually roots

ornate condor
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fails

keen plinth
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well you get +-1/1

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and then thats it

keen plinth
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and none of those are roots

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and thats it

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well yes

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RRT says if you are a rational root, you are of the form +-(factors of a0)/(factors of a3)

ornate condor
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ok i thought it was one

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so rrt also works

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on some eq

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if we can * some k such tht they r all ints

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btw why must the a1,a2 b ints

keen plinth
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because number theory

ornate condor
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confusion

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o well

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thanks

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Breakthrough

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.close

lone heartBOT
#
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ornate condor
#

wow

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a breakthru

keen plinth
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wtf LOL

ornate condor
#

💕

keen plinth
ornate condor
keen plinth
ornate condor
#

on my road to becoming immortal

lone heartBOT
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junior shell
#

my teacher has lost touch with reality and I need help on this problem

ornate condor
#

..

runic trench
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FORTNITEEE

ornate condor
#

ur teacher

rose sigil
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no way LOL

ornate condor
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LOL

junior shell
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yea

runic trench
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It looks like those math sums on newspapers

ornate condor
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ye but r those powers n mult

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on 1st n 2nd line

runic trench
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inb4 swiss shows his true power

ornate condor
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or just decor

junior shell
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what is it? I know the bricks equal 9

hardy storm
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15

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parhaps

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im already loosing brain cells

runic trench
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1 brick and 2 pinatas = 17 einsteins

ornate condor
#

maybe its 27^spikes /3

rose sigil
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no I think the einstein is just decoration

gray isle
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its not worth doing these problems

clever herald
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27/3=9
17-9=8
8/2=4
4-2=2
2+4+9=15

ornate condor
#

lol

runic trench
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1 iron + 1 brick + 1 pinata = ?? fortnite skin

junior shell
ornate condor
#

decor

rough sonnet
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It's 14 lol

clever herald
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breh wat

rough sonnet
clever herald
#

oh

runic trench
clever herald
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im blind

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mb

rough sonnet
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But seriously yo teacher's gone mad

junior shell
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yea

keen plinth
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,w b + b + b = 27, b + p + p = 17, p - 2j = 2

ornate condor
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:0

keen plinth
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amazing

ornate condor
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wrong

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its

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p-j=2

keen plinth
ornate condor
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smh

junior shell
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another question by the same insane teacher

keen plinth
ornate condor
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LOL

runic trench
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fortnight

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we have an imposter amongus

junior shell
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yea, he not a real fortnite player

keen plinth
runic trench
#

dude that looks like a google reviews comment thing

junior shell
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its a google classroom thing

rough sonnet
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What

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That's not even how you write Fortnite

ornate condor
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hahaha

keen plinth
ornate condor
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clearly

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its a diff fortnite

rough sonnet
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He's lost his marbles and his screws

ornate condor
#

its

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fortnight

junior shell
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.close

lone heartBOT
#
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ornate condor
#

good night

alpine sable
# junior shell

Depends how much money he has.
If he is allowed to cancel and buy again.
If he is allowed to buy from a friend for cheeper.

#

or just 3

lone heartBOT
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junior shell
#

answer was 3

lone heartBOT
junior shell
#

.close

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rough sonnet
#

The game is called Fortnite

ornate condor
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clearly

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uve nvr seen clones

rough sonnet
alpine sable
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There should be more fortnite questions. Like the probability to get certain items in a row. Size and position of the circle area etc, and whether a bullet hits the target etc.

karmic solstice
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eh

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wait there’s no question here

rough sonnet
alpine sable
rough sonnet
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I remember we once got a Physics test on projectile motion. 2 questions. One was The Hunger Games themed and the other one had Selena Gomez crashing her car.

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I am not kidding.

alpine sable
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Selena Gomez

rough sonnet
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Granted this was 9th grade

alpine sable
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crashing her car? oh my gosh

rough sonnet
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Fortunately the only one that died was the car

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She was just fine.

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Until you did the problem and realized she decided to commit insurance fraud.

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I will not elaborate further.

alpine sable
rough sonnet
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Yes, actually

alpine sable
rough sonnet
#

The question was to find out whether she had actually used her brakes or not.

alpine sable
#

nice to hear Selena is fine 🙂

rough sonnet
#

No she's in jail for insurance fraud

lone heartBOT
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wind thistle
#

I am in Calc 2 and learning about Sequences and Series, anyone able to help?

rose sigil
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someone probably can, what questions do you have?

wind thistle
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Just one homework question

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I can send pictures

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Parts a and b

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I have part a down, just need help understanding what part b is asking

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<@&286206848099549185>

#

.close

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polar bluff
#

Hi

lone heartBOT
polar bluff
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I’m a bit lost

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With this

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Oops <AF= y, so would that be the overall 360?

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So 5x-15=360,x=75?

ornate condor
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whered u get 15

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also im p sure its

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10x + something = 360

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not 5x

keen plinth
ornate condor
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wot

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its 5x.. = 180

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so i just doubled

keen plinth
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yeah that's the problem

ornate condor
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??

keen plinth
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it should be = 180

ornate condor
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well

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ok

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i thought u were gonna say the angles are not preserved when doubled

polar bluff
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I lied, y=3x+6 so I doubled it and CLT w the rest and added all up to 360

ornate condor
keen plinth
polar bluff
#

I solved it

agile shadow
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Are they not all opposite angles? 2 of each given angle add to 360?

ornate condor
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ok

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good job

ornate condor
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how did u even aplly clt lol

polar bluff
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FB = AF

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Ok so

keen plinth
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CLT?

ornate condor
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bru

polar bluff
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3x+6 x 2 = 6x+12, then the others

ornate condor
#

LOL

keen plinth
polar bluff
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8x-9=360

keen plinth
polar bluff
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x=46 1/8

ornate condor
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im so lost rn

polar bluff
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And i subbed

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Ok here

ornate condor
#

idk

keen plinth
#

,w 5x-15=180

polar bluff
ornate condor
#

close

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just a bit over 7 off

polar bluff
#

Oh-

keen plinth
polar bluff
#

Oh bye I just realized..

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Thx- odnfdmsmsms

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Oh right im not sure about this 1

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10.25=x

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Uhm

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Crickets

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<@&286206848099549185> Im rlly lost sry for ping

lone heartBOT
#

@polar bluff Has your question been resolved?

lone heartBOT
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broken beacon
#

Hey guys, could you please help me solve this? The question asks to calculate the integral over D

broken beacon
lone heartBOT
#

@broken beacon Has your question been resolved?

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alpine sable
lone heartBOT
alpine sable
#

Quick question: Do i add r or subtract r?

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<@&286206848099549185>

umbral zinc
#

(x2-x1) + (y2-y1)

alpine sable
umbral zinc
alpine sable
#

What did I do wrong?

umbral zinc
#

why did you multiply by 6.8 twice?

alpine sable
#

wdym?

umbral zinc
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shouldn't 4 be multiplied by 6.2?

alpine sable
#

where exactly

umbral zinc
#

3rd last

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step

alpine sable
#

oh

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i made a mistake

umbral zinc
#

happens

alpine sable
#

Thank you sm

umbral zinc
#

ebic

alpine sable
#

.close

lone heartBOT
#
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lone heartBOT
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glad trout
#

Help me please

lone heartBOT
buoyant storm
#

Make it (x+b/2)^2+c-b^2/4

#

I guess

glad trout
rose relic
#

i believe it's related to the value of the discriminant

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do you have 2 real roots, 1 repeated real rool or 2 complex conjugate roots

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not sure

shell widget
#

Maybe just consider cases b=0, c is not 0, c=0, b is not 0, both not zero

glad trout
#

Wait

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I got hint earlier

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For three cases and it says

shell widget
#

2 is just power rule, for 1 and 3 u need trig subs

glad trout
#

How do I apply it to my question

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Let’s just say

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I completed the square

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How do I proceed?

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<@&286206848099549185>

shell widget
#

You can write it as (x+(b/2))^2 + sqrt[(c-(b^2)/4)]^2, so you just have something of the form X^2 + A^2

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assuming c-(b^2/4) is positive

rigid smelt
#

I also suggest you to substitute something for c-b^2/4 just for the sake of making it cleaner so you dont accidentally leave a minus sign somewhere and trip yourself

glad trout
shell widget
#

Yes

glad trout
#

Right

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Okay think I get the idea

glad trout
#

Oh wait nvm

glad trout
#

Assuming c-b^2/4 is positive I just take tan as a substitution

shell widget
#

Yeah

glad trout
#

So x+b/2 = tan theta?

shell widget
#

Uh

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First let x+(b/2) = X, c-b^2/4 = A^2

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You get 1/(X^2 + A^2)

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then use the substitution X=Atan(theta)

glad trout
#

And that will be 1/atantheta^2 + a^2

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Could u verify if I have to integrate this and substitute back the theta and a?

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@shell widget

shell widget
#

1/[A^2(tan^2 (theta) + 1)]

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then use tan^2(theta) + 1 = sec^2 (theta)

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and since ur now integration wrt theta, you need replace dx as well

glad trout
shell widget
#

factored out A^2

glad trout
#

Oh right

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I see got it

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Hold up

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@shell widget

tall topaz
glad trout
#

Oh shit

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Right

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For x^2-a^2 we use sec right?

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@tall topaz @shell widget

shell widget
#

Yes

glad trout
#

Ok I’m that case it will be like this right?

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@shell widget sorry to keep tagging u

alpine sable
#

Can you please help me simplify this one and show me the process?

shell widget
#

@glad trout Yes

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sec^2(theta) - 1 = tan^2 (theta)

tall topaz
#

I think it wants you to use partial fraction

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Rather than trig sub

shell widget
#

@alpine sable open a help channel

lone heartBOT
#

@glad trout Has your question been resolved?

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desert hare
lone heartBOT
desert hare
#

How do you answer question 3c

analog falcon
#

Isn't this like physics

desert hare
#

no

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it's mechanics

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but yeah there are some physics aspects

analog falcon
#

I see

desert hare
#

Basically you have to use the suvat equations

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it's like five equations

keen plinth
#

,rccw

ocean sealBOT
#

Couldn't find an attached image in the last 10 messages.

keen plinth
#

damn

#

,rccw

ocean sealBOT
lone heartBOT
#

@desert hare Has your question been resolved?

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@desert hare Has your question been resolved?

analog falcon
#

interesting

lone heartBOT
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@desert hare Has your question been resolved?

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oak kettle
lone heartBOT
oak kettle
#

Can anyone tell me why the highlighted is 1/2e^(y/2) and the last one

#

#calculation problem

lone heartBOT
#

@oak kettle Has your question been resolved?

lone heartBOT
#

@oak kettle Has your question been resolved?

lone heartBOT
#

@oak kettle Has your question been resolved?

oak kettle
#

!close

#

close!

lone heartBOT
#

@oak kettle Has your question been resolved?

neon scarab
#

Thats just $$\dfrac{de^{y/2}}{dy}$$

ocean sealBOT
#

jimmy1234

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wheat isle
#

Hey could I get help with Question 5 please? I’m particularly stuck on F and C

wheat isle
#

I don’t know what Part F is asking with the question mark box

alpine sable
#

seems like a typo, ig treat it like a variable called '?'

wheat isle
#

So is it asking me to put any input?

alpine sable
#

yes, a variable can be thought of as an arbitrary input

wheat isle
#

It says f(-x)

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x (-x)/x(-x)^2 + 1?

alpine sable
#

yes, everywhere you see an x, put -x instead

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#

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valid stream
lone heartBOT
valid stream
#

Hi, I'm currently learning Loci and I'm confused on why the correct area shaded on is this, and how they got that.

#

I tried substituting points in each area, and I ticked where the equation was correct at that co-ordinate.

#

But the marking scheme had a much smaller area shaded

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@valid stream Has your question been resolved?

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spring wraith
#

hello there

lone heartBOT
spring wraith
#

wtf are verticies

#

hi snaky

craggy flax
spring wraith
#

yeah

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i dont get what that means though

craggy flax
#

Like

#

The way how the triangle is shaped

#

The sharp corners.

robust briar
#

the corners of the triangle lol

spring wraith
#

right

#

still dont get it

craggy flax
#

Bruh

robust briar
spring wraith
#

give an example

#

WELL I DUNNO WHAT IT IS

craggy flax
#

Like how the ends of each meet each other

spring wraith
#

ok

#

so what would the answer to this be

#

and could you explain

#

how you got there

robust briar
#

add them together lol

spring wraith
#

yea

#

what goes in the boxes

robust briar
#

ah-

spring wraith
#

i have to select one of these...

robust briar
#

i forgot abt this lol...like i did this years ago 💀 lemme try

spring wraith
#

yh im in yr8

#

and boy this is some tricky stuff

#

specially when the literal entirety of year 7 you literally fapped in class

robust briar
#

bruh

spring wraith
#

like 12-13 age

#

grade 7 for u guys

#

i think

#

yes grade 7

robust briar
spring wraith
#

but

#

back to the math problem

robust briar
#

sorry lemme help

frigid hatch
robust briar
#

@craggy flax sorry im in grade 10 and doing polynomials...so i forgot most of this shit. wtf am i supposed to do

spring wraith
#

oof

robust briar
robust briar
spring wraith
#

well ive guessed them now so the numbers have changed :/

#

because sparx is an absolute shithole of a software to be using for homework

#

yh no i give up how tf am i gon do my gcsc's bruh

#

.close

lone heartBOT
#
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glad osprey
lone heartBOT
glad osprey
#

someone help 17.b)

lone heartBOT
#

@glad osprey Has your question been resolved?

glad osprey
#

.close

lone heartBOT
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harsh ivy
#

How did it get factored?

lone heartBOT
harsh ivy
#

I need to revise on that

#

But do i need it to take a common factor?

#

.

tall topaz
#

I thought you already got this

harsh ivy
#

i did but there is a part i don’t understand

tall topaz
#

Which

harsh ivy
#

how did you get this

tall topaz
#

$(\theta +
\cot {\theta}) \times (-\csc{\theta}\cot{\theta})$

ocean sealBOT
harsh ivy
#

can you explain it to me pls

#

How do i multiply cot

#

cot * cot

tall topaz
tall topaz
harsh ivy
#

oh i see

#

and cot * csc?

tall topaz
#

I mean csc = 1/sin and cot=cos/sin

#

So csc*cot = cos/sin^2

harsh ivy
#

oh

tall topaz
#

But that’s not relevant here

harsh ivy
#

Then how do i multiply it here

ocean sealBOT
tall topaz
#

This is what we have

#

Multiplication is commutative and associative

harsh ivy
tall topaz
#

Ah yeah I forgot the negative sign

#

$=-(\csc{\theta}\cot{\theta})\times (\theta +
\cot {\theta})$

ocean sealBOT
tall topaz
#

We have this

harsh ivy
#

yes

tall topaz
#

$=-(\csc{\theta}) \times (\cot{\theta})\times (\theta +
\cot {\theta})$

ocean sealBOT
tall topaz
#

$=-(\csc{\theta}) \times (\cot{\theta}(\theta +
\cot {\theta}))$

ocean sealBOT
harsh ivy
#

okay so we just put it inside a bracket cuz its already all multiplied

tall topaz
#

$=-(\csc{\theta}) \times (\theta \cot{\theta} +
\cot ^2{\theta})$

ocean sealBOT
harsh ivy
#

okay i got this now the last part is csc * cot

#

we shouldnt do ot and just take common factor right?

tall topaz
#

Yes

harsh ivy
#

ah i see

#

okok thank you so much

#

im rlly suffering in math

tall topaz
harsh ivy
#

🥲

#

Cya and thanks you so much for helping me i can’t find anything thing to explain to me

#

couldnt*

tall topaz
#

Np

harsh ivy
#

.close

lone heartBOT
#
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glacial trail
#

I got the first step, but idk what to do afterwards. im trying to prove bec = dea

lone heartBOT
#

@glacial trail Has your question been resolved?

gray isle
#

consider the definition of bisection and what step 1 tells you about certain lengths,

#

applying that thoroughly will lead to the required congruence proof

glacial trail
#

bisecting is just 2 lines meeting at the middle right

gray isle
#

so what does that tell you about the lengths of certain segments

glacial trail
#

oh

#

.close

lone heartBOT
#
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digital walrus
lone heartBOT
digital walrus
#

It asks to simplify in terms of the second expression

#

This is what I’ve got so far

#

Am I on the right path or close?

toxic badge
#

is that not as simple as it gets

#

whats the sin x doing there

digital walrus
#

the sinx is what it wants the simplified answer in terms of

#

the answer is 1/sinx, I'm just not sure how to get there, or if the work I currently have is on the right path

toxic badge
digital walrus
# toxic badge

yeah, I tried that app earlier, it seems to kinda give up with most trig identities lol

toxic badge
#

works fine

digital walrus
#

oh well damn

#

that's weird

lone heartBOT
#

@digital walrus Has your question been resolved?

#
Channel closed

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alpine sable
#

.open

#

how do i state the domain and range of each relation and how do i determine whether each relation is a function. if it is a function, determine if it is onto, both, or neither.

lone heartBOT
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alpine sable
lone heartBOT
digital walrus
# alpine sable

Domain is an interval from the lowest X-value to the highest, Range is that for the Y-values

#

A relation is not a function if any x-value has 2 different y-values

#

for example, if you had the set { (0, 1), (0,2), (1,2 }, this would not be a function because 0 is paired with 2 different Y-values (1 and 2)

alpine sable
#

im not sure what that means

#

can i get more like a

#

idk

#

EASIER EXPLANATION i dont know english that wlel

digital walrus
# alpine sable bu why

A function basically takes a number and spits out a new one. If you have the function y=2x, and you give it the number 2, it's the same as saying 2x2, so it'd be 4. A function can't give more than 1 answer for any given number.

alpine sable
#

OHH

#

so 0 isn’t compatible

digital walrus
#

You can also think of this with the "vertical line test". If you graphed the points that a problem gives you, would you be able to draw a single vertical line and touch more than one of them? If so, it's not a function, and if not, then it is a function.

alpine sable
#

in this case first question

#

would not be a function

#

because of the

#

0.5

#

if im correct

#

or well there’s a 0

digital walrus
alpine sable
#

i just don’t know how to determine wether it’s a onto or both or neither

alpine sable
#

oh yeah

#

0.4, and 0?

digital walrus
#

0.4 appears more than once, and because it's the first number in a pair (making it the x-coordinate), it violates the rule that an x-value can't have more than 1 y-value

alpine sable
#

if it shows more than once it's not a function

#

and because of the 0?

digital walrus
alpine sable
#

oHH

digital walrus
alpine sable
#

i understand it now tysm

alpine sable
#

so its only if it

#

repeats

#

its not a function

digital walrus
#

yes, if an x-value repeats, it's not a function

alpine sable
#

does the same go with y-value?

digital walrus
#

no, only x

alpine sable
#

ohh

#

how do i know which one is the x and y value in the first problem

#

is like

#

the first two

#

sets

#

y values

#

and the last 2

#

x?

digital walrus
#

Notice how the problems gives you sets of numbers in parentheses? Those are called ordered pairs, The first number in any ordered pair is the x-value, and the 2nd is the y-value

alpine sable
#

OHH

#

I GET IT

#

so in this case

digital walrus
#

so for the first problem, you have the points (0.5 , 3) , (0.4, 2) , (3.1,1) , and (0.4, 0)

alpine sable
#

0.5 is x and 3 is y

digital walrus
#

yes!

alpine sable
#

0.4 is x and 2 y

#

3.1 is x and 1 y

#

0.4 is x and 0 is y

#

awesome

digital walrus
#

exactly!

alpine sable
#

now if it's a function how do i know it's onto both or neither

digital walrus
#

I honestly have no idea what “onto” means there

alpine sable
#

i don't either 😭

#

i tried searching it up

#

and it says

#

'If A and B are the two sets, if for every element of B, there is at least one or more element matching with set A'

#

but i still dont know

#

im not sure if the x is a and b is y

#

do u know what would mean as for both or neither?

digital walrus
#

I’m assuming both and neither refer to relation and function

#

but still not sure

alpine sable
#

ohh

#

okii

#

what about this one

digital walrus
#

A continuous function can be theoretically drawn forever without lifting your pencil

#

both of those functions are continuous

#

I won’t explain exactly how to draw each of those graphs, but I’ll say that y=x^2-1 will look almost like the letter U, and y=3x+2 will be a diagonal line going up and to the right

#

For problems 7 and 8, simply replace the “x” in the given functions, with the the value in the parenthese

#

So for 7, you’ll turn -2x+4 into -2(12)+4 and solve it

alpine sable
#

ohh

digital walrus
#

For 8 you’ll replace “x” with “7c” and expand it, since it can’t be fully solved unless they tell you what c equals

alpine sable
#

where did the 12 come from

digital walrus
#

f(12)

alpine sable
#

OH

#

ooh i get it now for that one

#

i understand 7 and 8 but for 5 and 6 how do i graph

digital walrus
#

Do you know what the graphs X^2 and X look like?

alpine sable
#

not sure

#

if im being honest i don't really know how to graph 😭

digital walrus
#

A graph is essentially a visual representation of the all the possible solutions of a function

#

This is the graph of y=x

#

This is the graph of y=2x

alpine sable
#

ooo

#

how do i know if its a function

#

also i suppose its continous because its a straight line right?

digital walrus
#

A function is continuous if it has no end, and discrete if it only shows specific values

#

y=x is continuous because you can put any number for x and get an answer back

digital walrus
alpine sable
#

vertical as in straight line?

#

also what does hitting more than once mean

digital walrus
#

I is a vertical line, _ is a horizontal line

alpine sable
#

OHH

#

understood!!

#

so in that case for exp y = x^2 - 1 which it's shaped as a u it's not a function and its discrete

digital walrus
#

it’s shaped like a U, but it can be drawn forever in either direction, and it’s impossible to hit it more than once with a vertical line

alpine sable
#

OHH

#

SO IT WOULD BE

#

continuos

#

continuos

digital walrus
#

(I’m still currently making a visual example for what “hitting it more than once” means)

alpine sable
#

continous*

digital walrus
#

This would be a function, because it’s impossible to draw a vertical line that crosses it more than once

#

This would not be a function, because it can be crossed more than once with 1 vertical line

alpine sable
#

OOHH

#

Second one is continuos and first one discrete right?

digital walrus
#

Although y=x^2 can get steep, it’s also impossible to cross more than once with a single vertical line

alpine sable
#

OHH

digital walrus
alpine sable
#

wait so what type of graph is discrete

digital walrus
#

A discrete function’s graph would look more like a set of dots, or a line split into multiple pieces, instead of one line that can be drawn forever

alpine sable
#

ohhh

digital walrus
#

Here’s a good example

alpine sable
#

OOO THATS REALLY HELPFUL

digital walrus
#

Oh, and to further explain the Domain and Range : intervals are basically a convenient way to show the maximum and minimum values of a function

alpine sable
#

Ahhh

digital walrus
#

So we’ll go back to this

alpine sable
#

Yes

digital walrus
#

What’s the smallest X-value here?

alpine sable
#

0.4

digital walrus
#

and what’s the largest?

alpine sable
#

3.1

digital walrus
#

Alright, so since an interval shows the largest and smallest values, those are the only numbers we’re concerned with.

#

Since those are X-values, we use them to write the domain

#

and that would be written as [0.4, 3.1]

alpine sable
#

ooohh

#

so that should be graphed as for

#

the x

digital walrus
#

Yes, those would be the horizontal position on a graph, but this problem doesn’t need to be graphed

#

Now, what are the smallest and largest Y-values?

alpine sable
#

3 is largest

#

and

#

smallest is 0

digital walrus
#

Yep, so what would the range be?

alpine sable
#

3,0

#

(3,0)

digital walrus
#

intervals are always written from smallest to largest

alpine sable
#

OH OK

#

0,3 in this case

digital walrus
#

Yep! And the type of bracket you use does actually matter

#

[0,3] means the interval includes 0 and 3, while (0,3) would not include 0 and 3

alpine sable
#

Ohh

digital walrus
#

So for these sets you’d be using [], because there’s nothing going on that would cause the numbers to be excluded

alpine sable
#

yes

#

I understand now!!

lone heartBOT
#

@alpine sable Has your question been resolved?

turbid summit
#

can someone help me?

#

by using rules for differentiation

#

I don't know how to solve using chain rule

lone heartBOT
#
Channel closed

Closed by @sand scaffold

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#
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Ask your math question in a clear, concise manner.
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After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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rustic cypress
#

32x^{\frac{3}{2}}x-1=0

lone heartBOT
rustic cypress
#

how to simplify this further

ornate condor
#

well

#

x^3/2 x = x^5/2

rustic cypress
#

ok

#

32x^5/2 = 1

#

then what

sour dove
#

well, what else can you do here? You can't take a power to both sides yet because you have a constant on the LHS

rustic cypress
#

i can divide

#

by 32

#

x^5/2 = 1/32

#

ree

sour dove
#

well there ya go, so how do we get x by itself now?

rustic cypress
#

i can do tha root thing

sour dove
#

lol. Well what I would say is "raise both sides by 2/5" Make sense?

rustic cypress
#

ok

#

so then 5/2 *2/5 bcome 1 so

sour dove
#

good!

rustic cypress
#

x = (1/32)^2/5

#

but then i am conufsed

#

oh

#

wait

#

i am smart

#

i got it

#

1^2/5 = 1

#

and

#

32 ^ 2/5 becomes 4

sour dove
#

bingo! 🙂

rustic cypress
#

since 22222

#

my multiply since go away

#

OMG I AM SMARTY PANTYS EASy

sour dove
#

daaaang

#

you didn't even need my help

#

nicely done

rustic cypress
#

thanks to you

#

but i also am smart

#

by also you

sour dove
#

darn tootin you are!

rustic cypress
#

tootin means ?

sour dove
#

it means "emphasis"

rustic cypress
#

ok

#

what does that mean

sour dove
#

but it's more slang than it is an actual word

rustic cypress
#

what slang means

#

sorry i dont know

#

lols

sour dove
#

no worries, that's how you find out!

rustic cypress
#

are you a pro at math

sour dove
#

slang is like "local tongue"

#

so like here in Texas

#

we don't say "hello"

rustic cypress
#

coool

sour dove
#

we say "howdy"

#

howdy is slang

rustic cypress
#

lololol

#

i heard someone say that in my school

#

can i quiz you

sour dove
#

yeah sure, sounds fun lol

rustic cypress
#

i ask my friends this trick math question

#

what is 1/0

#

if you get is correct that you didnt fall for it

sour dove
#

well it's undefined. We say that's an illegal operation in math

rustic cypress
#

darn it

#

lol

#

ok

#

another one

sour dove
#

can't stump me 😉

rustic cypress
#

1/2/3

#

i will get you

#

tell what is 1/2/3

sour dove
#

well we do PEMDAS from left to right. So it would be 1/6

rustic cypress
#

NO u got it wrong

#

it is january the 2nd and the 3rd year ad

#

gottem

#

EASY DUBZ

sour dove
#

lol daaaarn

rustic cypress
#

looool

sour dove
#

so like 01/02/0003 ? Like 3 years AD ? 😮

rustic cypress
#

YEA

#

lol

sour dove
#

lol well also! it depends on who you ask!

rustic cypress
#

you gotta be supar smart to get that

#

i think

#

let me guess what grade you are

#

and you guess what grade im in

#

my turn first

#

ok

#

so

sour dove
#

lol okay

rustic cypress
#

and then you say hot or cold

#

8th grade

sour dove
#

okay!

#

way cold

rustic cypress
#

6th grade

sour dove
#

even colder

slender gull
#

Lmao

rustic cypress
#

ok then you are 10th grader

sour dove
#

getting warmer, but still pretty cold

rustic cypress
#

13th grade

sour dove
#

lol is that a freshman in college?

rustic cypress
#

that is colleg thought right

sour dove
#

if so then you're getting warmer

rustic cypress
#

ok 15th grade

sour dove
#

well we don't really have "grades" in college

rustic cypress
#

same thingg

sour dove
#

super warm!!!

#

if were doing grades lol

rustic cypress
#

HOW OLD ARE YOU

#

20 grade

sour dove
#

PFFFT

#

well I won't disclose that, but I"m a senior in college

#

I graduate this semester

#

and I'm 31

rustic cypress
#

so like 16th grade

#

31 grade?

sour dove
#

31 years old

rustic cypress
#

ohh

sour dove
#

but yes 16th grade techincally

rustic cypress
#

you are old

sour dove
#

awww thanks

rustic cypress
#

now you have to guess

#

me

#

my grade

sour dove
#

okay

#

umm

#

8th grade

rustic cypress
#

warm

sour dove
#

9th

rustic cypress
#

less warm

sour dove
#

6th

rustic cypress
#

yeeah

#

lolololololololol

sour dove
#

gotem

rustic cypress
#

NICE

sour dove
#

are you in the US or elsewhere?

rustic cypress
#

yeeeaaaa

#

lol

slender gull
#

6th grade, how old is that supposed to be?

sour dove
#

I think I was 10 when I was in 6th grade

rustic cypress
#

i just turned 13

#

woeowewo

slender gull
#

Lol.

rustic cypress
#

lol my birthday was on the 2nd

sour dove
#

no wait 11

#

happy belated birthday!

rustic cypress
#

THANKs

#

my mom is ggeting mad at mr

#

me

#

i think i got to go

#

lol

sour dove
#

yep fair enough

rustic cypress
#

thansk

sour dove
#

good job on the work!

rustic cypress
#

😄

sour dove
#

if you don't mind, .close out this thread so someone else can use it

#

have a good one!

rustic cypress
#

.close out

lone heartBOT
#
Channel closed

Closed by @rustic cypress

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#
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Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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orchid chasm
#

Can I have an explanation on why I have to rewrite this x^2 + 2x-x-2?

long axle
#

It’s so u can clearly see how the terms are about to be grouped

#

the x^2 + 2x becomes x(x+2)

#

And the -x-2 becomes -1(x+2)

#

Because it was grouped in that manner, we can combine the two of them to make

#

(x-1)(x+2)

#

See what happened?

orchid chasm
#

Oh Ok yeah

#

.close

lone heartBOT
#
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smoky dagger
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"In general, for a real-valued system of linear equations we obtain either
no, exactly one, or infinitely many solutions. Linear regression (Chapter 9)
solves a version of Example 2.1 when we cannot solve the system of linear
equations."

Does cannot solve mean a system with no solution?

lone heartBOT
#

@smoky dagger Has your question been resolved?

lone heartBOT
#
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alpine sable
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hello, how can I get the area of this polygon?

languid haven
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its half right?

alpine sable
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I think

languid haven
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k lemme see

alpine sable
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look this one too wait just a moment

languid haven
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its a hexaon

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so

alpine sable
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Yeah

languid haven
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here have the formula

alpine sable
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yes I know the formula but I dont know how to solve it

languid haven
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oh

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so

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use the pythagorus theorum

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so

alpine sable
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ok ok

languid haven
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the h = 24

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b = 9

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then youll find c to like

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the middle of 18

alpine sable
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yeah

languid haven
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then you find the rest

alpine sable
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I will do this one

languid haven
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wait

alpine sable
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A = N x S x A over 2

languid haven
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thats more complex

alpine sable
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?

languid haven
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first do the hexagon

alpine sable
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ok ok

languid haven
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oh wait

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im dum

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its an octagon

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lemme check it out

alpine sable
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xd

languid haven
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wait chief

alpine sable
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dont worry

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yes?

languid haven
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i mean wait ill try to solve ti

alpine sable
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ok ok ty

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One friend got like 391.60

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391.60m

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So I got

languid haven
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got it

alpine sable
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A = N x S x A over 2 A= 8 x 5 x 12.08 and then im stucl

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stuck

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You got it?

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😄

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Wait

languid haven
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ye

alpine sable
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How much did you got?

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get

languid haven
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which one is the question

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the octo or hexa?

alpine sable
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this one

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no this one no

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the other one

languid haven
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i0

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lol