#help-13

1 messages · Page 14 of 1

zenith zealot
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sure

dense kayak
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it's nice because we already have s and ~r

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in fact, it might even give you a better hint for why this argument is invalid

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| r | s | ~r | ~(~r) | ~r ^ s | ~(~r ^ s) | ~s | ~s v r | ~(~s v r) | s ^ ~r |
|---+---+----+-------+--------+-----------+----+--------+-----------+--------|
| T | T | F  | T     | F      | T         |    |        |           | F      |
| T | F | F  | T     | F      | T         |    |        |           | F      |
| F | T | T  | F     | T      | F         |    |        |           | T      |
| F | F | T  | F     | F      | T         |    |        |           | F      |
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i'm gonna get rid of the middle ones so this doesn't get too wide

zenith zealot
#

okaqy

dense kayak
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| r | s | ~r | ~(~r) | ~r ^ s | ~(~r ^ s) | s ^ ~r |
|---+---+----+-------+--------+-----------+--------|
| T | T | F  | T     | F      | T         | F      |
| T | F | F  | T     | F      | T         | F      |
| F | T | T  | F     | T      | F         | T      |
| F | F | T  | F     | F      | T         | F      |
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ok so that last column is the simplified conclusion

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and columns four and six are our premises

zenith zealot
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yes

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oh

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so you see what lines up

dense kayak
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well now we can tell if this is valid/invalid

zenith zealot
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if the conclusion has any false values it's invalid?

dense kayak
#

only for the rows with all true premises

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so for which rows do we have all true premises?

zenith zealot
#

T for the premises in columns 4 and 6 right?

dense kayak
#

yes

zenith zealot
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okay so 1 and 2

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and the conclusion is false

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so its invalid

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for both

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?

dense kayak
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so you only need one, but yes it fails for both here

zenith zealot
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gotcha

dense kayak
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you only need one counterexample to invalidate an argument

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great!

zenith zealot
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so again, in this its asking for what makes it invalid

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id put row 2 for the first one and row's 1 and 2 for second?

dense kayak
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again, this is basically taking into account all possible states of the variables and saying even though everything we started with was true, the argument has failed here

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yep! those are the rows that show the argument is invalid

zenith zealot
#

gotcha

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tysm, and sorry for pinging moderators i've been at this for like 2 hours and was super frustrated bc it an online only class

dense kayak
#

hopefully i didn't flip a bit by accident!! i know you were with me the whole time but for these it might be worth checking once more just in case haha. it can be really discouraging for this kinda computation (literally why we have computers for this)
the method is the same though and it gets better with practice!

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and ofc glad to help!

zenith zealot
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alright i have to do a few examples like this so ill go back and double check, thanks again!

#

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cedar kilnBOT
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noble inlet
#

Zeros of the function
can someone teach me how i can list these down using synthetic polynomial division

noble inlet
#

ping me when you help me answer

dense kayak
cedar kilnBOT
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polar ermine
#

is this correct

cedar kilnBOT
solid juniper
#

hard to tell without any scale haha

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but maybe

polar ermine
solid juniper
#

then it's probably fine

tropic oxide
#

if you cannot type the set membership symbol you should replace it with "in" and not e

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{x | x in R, x > 4}

polar ermine
solid juniper
#

oh yea good idea

tropic oxide
#

also probably would prefer interval notation for this anyway lol

polar ermine
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crimson sedge
#

question 10 of a SAT test
so basically Idk why but everytime i try an answer it still fits as y-value of y-intercept as constant

stable patio
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A b C or d

crimson sedge
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that's why Im here!

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<@&286206848099549185>

#

I still need help here...

cedar kilnBOT
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cedar kilnBOT
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@crimson sedge Has your question been resolved?

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grizzled wasp
cedar kilnBOT
grizzled wasp
#

Need some help with the problem. B={(t^2+t+1),(t^2+3t+2),(t^2+2t+1)}

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I've plugged in b1,b2,b3 in L(P) to get L_B

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tired vine
#

If one of the vertices of the hyperbola is the origin while one of the endpoints of the conjugate axis is at (3,-9), how far is the focus from the center

tired vine
#

Help

cedar kilnBOT
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novel ginkgo
#

OHNO WAIT

cedar kilnBOT
novel ginkgo
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in terms of just equation

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PER SE y^2 = 5x^4 – 3x^2 + 71

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is this a function or not a fucntion?

upbeat lotus
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Until you want to plot it into graph

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Then it's a function

novel ginkgo
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but u know when u do evtical line testing in a graph it may suggest that it is not a function sometimes but in this case i dotn know what to say

upbeat lotus
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,w Plot y^2 = 5x^4 – 3x^2 + 71

wraith daggerBOT
upbeat lotus
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f(x) = 5^4-3x^2+71
y^2=f(x)

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In terms of equation it's not an function

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But if you are talking about graph it has its own consequences

novel ginkgo
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ohh

upbeat lotus
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Yeah

novel ginkgo
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i get it

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THANK U VERY MUCH

upbeat lotus
wraith daggerBOT
novel ginkgo
#

.close

cedar kilnBOT
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@vital path Has your question been resolved?

cedar kilnBOT
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visual bison
#

What is 2+2

cedar kilnBOT
fallen heath
#

,calc 2+2

wraith daggerBOT
#

Result:

4
crimson sedge
autumn fox
pine gazelle
#

This doesn't have any real-world applications, surely; stop the tomfoolery!

crimson sedge
autumn fox
crimson sedge
patent willow
#

AWOOKEN whaaa

cedar kilnBOT
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crimson sedge
cedar kilnBOT
crimson sedge
#

How do I calculate the percent difference between the two

cedar kilnBOT
#

@crimson sedge Has your question been resolved?

crimson sedge
#

<@&286206848099549185>

crimson sedge
#

<@&286206848099549185>

crimson sedge
#

<@&286206848099549185>

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ig imma just ping after 15 minutes

cedar kilnBOT
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@crimson sedge Has your question been resolved?

crimson sedge
#

<@&286206848099549185>

cedar kilnBOT
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@crimson sedge Has your question been resolved?

crimson sedge
#

<@&286206848099549185>

cedar kilnBOT
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@crimson sedge Has your question been resolved?

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deep nest
#

how can i determine how many lattice points are contained in a bounded region?

deep nest
cedar kilnBOT
#

@deep nest Has your question been resolved?

crimson delta
#

try drawing it

deep nest
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is there a way without counting?

fair geyser
#

you multiply two numbers

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difference + 1

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possibly difference − 1 if the lines don't have points

deep nest
#

is it basically just l * w?

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cobalt merlin
#

i got the problem right but i dont know how the computer did this calculation

cobalt merlin
#

how do i manipulate to solve this

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x^2 <-- sin(x) <--- sin^-1(x/8) / 8 ?

cedar kilnBOT
#

@cobalt merlin Has your question been resolved?

dire geode
#

if you got it right, you should just do it your way

cobalt merlin
dire geode
#

you didn't do it without computer help?

cobalt merlin
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i computed with computer so yes

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but how do i do it by hand

dire geode
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try using that

cobalt merlin
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ok thanks

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is there a way to do it with like

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x^2 <-- inside goes sin(x) <-- inside goes sin^-1(...)

dire geode
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no

cobalt merlin
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rip

dire geode
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if you want to look for other identities. the one i screenshot'd is just the simplest i know of

cobalt merlin
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ye ye we covered that

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supposed to have been pre-requisite knowledge for calc 2 lol

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but i saw computer gave ez answer im like how it got that

dire geode
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didn't realize this was a calc problem. looks like a trig problem

cobalt merlin
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well its part of a larger problem lol

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i was given x = 8sin(8theta) y= 8cos(8theta) 0<= theta <= pi/4

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i was like lets find theta for both

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plug into identity sin^2theta + cos^2theta = 1

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and then i was like how i simplify that s lol

dire geode
#

why do you need to find theta

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you're given a range of it

cobalt merlin
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ye but its in terms of theta

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i need in terms of x and y

dire geode
#

it's just a circle

cobalt merlin
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its parametric functions or something

dire geode
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or semicircle

cobalt merlin
#

ye but they ask exact equation

dire geode
#

what exact eqn

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maybe you should just show the whole original problem

cobalt merlin
#

sure

dire geode
# cobalt merlin

you can also arrive at sin(x) / 64 since you have a circle of radius 8

cobalt merlin
#

well i dont have that solid of a grasp of this rn

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im just solving things mathematically lol

cedar kilnBOT
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odd badger
#

Hi, for one of my physics solutions, I noticed that this formula was applied

odd badger
#

Is this even correct..?

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Because the funny thing is, doing that gives me the correct answer!

gleaming cloud
#

I assume that's how you define Delta t^2

odd badger
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If that were to be the case then I can't seem to wrap my head around the derivation...

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Actually I'm going to give that a quick shot

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Yea it doesn't work that way...

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That's like a base formula for change in time

crystal raptor
#

It's not (Δt)²

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It's Δ(t²)

odd badger
#

Ohhhhhhh

odd badger
#

.close

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lusty jasper
cedar kilnBOT
zealous garden
#

well yea hello, need help ?

lusty jasper
#

How do I graph this

paper dome
#

You can substitute values of x in.

zealous garden
#

have you seen what are a and b in y = ax + b ?

lusty jasper
#

No

lusty jasper
paper dome
#

You can substiture a value in for x, eg. -2(0)-3

lusty jasper
#

Oh

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So would the first point be -3,0?

paper dome
#

Nearly. It would be 0,-3.

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Because that substitures 0 in for x.

lusty jasper
#

Oh ok

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How would I find the second point?

paper dome
#

Substitute a different value in for x.

subtle sinew
#

Hello do you have good clips to understand ( Cos ) ( sin )

lusty jasper
paper dome
#

Yes, like that.

lusty jasper
#

Oh ok I got it now thanks for the help

cedar kilnBOT
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kindred hornet
#

@gloomy lynx @leaden snow the number isnt divisible by 7

cedar kilnBOT
#

@kindred hornet Has your question been resolved?

kindred hornet
#

it seems to be divisible by 103

#

Prove that the number 99 … 91, a number consisting of 2023 9’s and then a 1, is not prime.

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^^

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this number is divisible by 103

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but i had to make a script to find a it

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how would i prove it mathematically

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nvm it is divisble by 7

crimson sedge
#

hi

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obtuse coral
#

How do I sketch #21?

cedar kilnBOT
#

@obtuse coral Has your question been resolved?

obtuse coral
#

The triangle can look a little different from the answer key, right?

#

As long as it makes sense? <@&286206848099549185>

cedar kilnBOT
#

@obtuse coral Has your question been resolved?

obtuse coral
#

???

obtuse coral
#

Bruh

#

Could someone plz help?

crimson sedge
#

hmm

crimson sedge
#

just draw a random point in the first quadrant since p, q are positive

#

also hi from mr sinn server? xd

obtuse coral
crimson sedge
#

okay then for (2p, 0)

#

just make the x coordinate

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twice as far

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and the y coordinate 0

obtuse coral
strong ermine
#

11.68 mg KI in 100.4 mL of solution

obtuse coral
#

Ty

cedar kilnBOT
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lethal bison
#

prove that if 6x ≡ 6y(mod 12), x ≡ y (mod 6)

tropic oxide
#

are you sure you did not mistype either the problem statement or the instructions? @lethal bison

lethal bison
#

no

tropic oxide
#

then give it another look and make sure everything is typed correctly.

#

that, or post a screenshot or picture of the problem exactly as it was given to you.

lethal bison
#

it was probably wrongly explained bcuz it was a friend who wasnt sure about a question and like asked me off her memory so yeah it's probably wrong

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but my plan was using euclidean algo to find x and then you get to see that y is 1 or something around that

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would that work?

tropic oxide
#

no,

silver parcel
#

what you want to prove is false

tropic oxide
#

because the statement "if 6x ≡ 6y(mod 12), then x ≡ y (mod 12)" is false

#

yeah

#

easy counterexample: x=0, y=2

lethal bison
#

wait

#

I was wrong

#

6x ≡ 6y (mod 12), then x ≡ y(mod 6)

silver parcel
#

x = 0, y = 2
6x = 6y mod 12 but x is not y mod 6

#

still false

lethal bison
#

ok thank you

#

.close

cedar kilnBOT
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daring swan
#

Is this correct?

cedar kilnBOT
daring swan
#

I used L'hospitals rule twice

tropic oxide
#

your handwriting could be better

#

as-is you have somehow managed to make $x$ and $\infty$ look similar

wraith daggerBOT
tropic oxide
#

but other than that you are correct

crimson sedge
tropic oxide
#

?

crimson sedge
#

Just found it funny that someone would get called out for their handwriting lmao

tropic oxide
#

you consider "your handwriting could be better" a call-out?

crimson sedge
#

Well, figuratively, not meant to be taken literally

solid juniper
#

that handwriting really could be better

crimson sedge
cedar kilnBOT
#

@daring swan Has your question been resolved?

frosty ocean
#

Is that x?

#

It looks like mirrored alpha

cedar kilnBOT
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cerulean pike
#

how do you get these fractions if A is twice as likely as B?

upper abyss
#

You could lasso them! They can't get away if their feet are tied

cerulean pike
#

huh

#

but why 3

wind glade
#

2/3 is twice of 1/3

cerulean pike
#

yeah but why is the denominator 3

wind glade
#

hmm why cant the denominator be 3

cerulean pike
#

??

wind glade
#

P(B) = 1/3

#

is that right?

cerulean pike
#

yes

wind glade
#

and P(A) is twice of P(B)

#

do you agree?

cerulean pike
#

yes

wind glade
#

P(A) = 2P(B) = 2(1/3) = 2/3

cerulean pike
#

yes but why would the denominator of p(b) be 3?

wind glade
#

hmm i think you should post the question

cerulean pike
wind glade
#

ahh maybe its because P(A) + P(B) = 1

#

P(A) + P(B) = 2P(B) + P(B) = 3P(B) = 1

#

so that P(B) = 1/3

#

if jar A and jar B are the only possible jars to be selected their probabilities must add to 1

cerulean pike
#

not b

wind glade
#

If A is twice as likely, then you would double P(b) right?

cerulean pike
#

mmmmmmm yeh sorta

wind glade
#

thats how i understood it

#

who knows

silver parcel
#

you're right

cerulean pike
#

is it cuz your trying to get b to the same value?

silver parcel
#

if Jar A is twice as likely, the probability you get Jar A is twice the proba you get Jar B

#

the other way around couldn't make sense

#

P(A) = 2P(B)

cerulean pike
#

alright thank you

cedar kilnBOT
#

@cerulean pike Has your question been resolved?

cedar kilnBOT
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solemn torrent
#

aye

cedar kilnBOT
solemn torrent
#

I’m just gna put this qn here

#

in case anyone can help too

#

I need help for structural formula of A, F, G

cedar kilnBOT
#

@solemn torrent Has your question been resolved?

crimson sedge
cedar kilnBOT
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tame zodiac
#

wanna ask with limit

cedar kilnBOT
tame zodiac
#

$\lim\limits_{x \to 0+}{\frac{\sin{2x}+e-e\ln{(\sin{2x}+e})}{x^2}}$

wraith daggerBOT
#

Dri111

tame zodiac
#

can i calc limit with no lhopital?

granite wyvern
#

Taylor?

#

Its the same thing thou

tame zodiac
#

im in highschool

#

so probably not eith taylor

zenith sail
#

Are you sure it's e*ln and not e^ln ?

tame zodiac
#

unfortunately

#

yes

granite wyvern
#

Yeah, I think whats written is correct

#

2/e should be the answer

tame zodiac
#

i can calc it with lhopital

#

but its out of what school teaches

#

should not use it

granite wyvern
#

So how do you solve (ln(1+x)-x)/x^2

#

Wihtout lhopital or taylor?

tame zodiac
#

that might be the main point of the question

#

is it possible without them?

granite wyvern
#

Whats the derivation of lim x->0 ln(1+x)/x = 1?

tame zodiac
#

what do you mean by

#

deriviating the limit?

granite wyvern
#

Proof

tame zodiac
#

so deriviate the inside of the limit?

granite wyvern
#

No.

#

Derivation = Proof.

#

Not derivative

#

Anyways, maybe I'm using wroong terminology. Its been so long.

tame zodiac
#

a sorry

#

misread

#

we learn that limx->0 (1+x)^(1/x)=e

granite wyvern
#

And the how and why? Proof using first principle?

#

Afair, we used series expansion.
Or some overcomplicated binomial proof for the above.

tame zodiac
#

um

#

just says that lim of (1+x)^(1/x) converges to certain number

#

and we call that e

granite wyvern
#

Oh. So using that as definition.

#

Do you the definition of derivatives? Using limits?

#

have*

tame zodiac
#

with the limit form f(x+h)-f(x)/h?

#

or f(x)-f(a)/(x-a)

cedar kilnBOT
#

@tame zodiac Has your question been resolved?

cedar kilnBOT
#

@tame zodiac Has your question been resolved?

cedar kilnBOT
#

@tame zodiac Has your question been resolved?

cedar kilnBOT
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cedar kilnBOT
languid oasis
#

Can someone please help <@&286206848099549185>

cedar kilnBOT
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heavy bramble
#

Factorise: a^12-1

cedar kilnBOT
hybrid glade
#

,w factorise a^12 - 1

hybrid glade
#

Heh

heavy bramble
#

Can anyone explain me how to factorise after (a^6+1) (a^3+1) (a^3-1)

#

Step by step

hybrid glade
#

a² - b² = (a+b)(a-b)

#

Try to apply it

heavy bramble
#

ok yeah

#

I am getting (a^6+1) (a^3+1) (a-1) (a^2+1+a) [I factorized a cube - 1]

#

ok now I got it

#

TYSM!

#

@hybrid glade

hybrid glade
#

Ur wlc

heavy bramble
#

.close

cedar kilnBOT
#
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wind crest
#

Show that if n is an integer, then n = ⌈n/2⌉ + ⌊n/2⌋

wind crest
#

im not sure about my thought process on this, but I think this can be written as p -> q

steel verge
wind crest
#

it's a ceiling and floor function

steel verge
#

Oh....

wind crest
#

then there's 4 cases i can think of, since it's an implication:
T -> T
F -> T
T -> F
F -> F

#

so like, every integer should be able to get back to n even after the floor and ceiling function

crimson delta
#

There are two cases

#

Either n is even or n is odd

#

In both of these cases you can calculate everything explicitly

wind crest
#

hmm yeah, i have thought of that too. and either would still hold true

#

but i'm not sure on how to show it

#

and if there is a non integer that can still hold the q part true

#

or a integer that can't hold the q part true

#

or i could be going in the wrong direction

#

or rather, would it be wiser to do:

  1. non integer, will not be able to get back to n (F -> F) which is still a true implication

  2. an integer, gets back to n (T -> T) which is also a True implication
    then
    i. even case
    ii. odd case

crimson delta
#

If n is not an integer, then the premise is false. If the premise is false then the implication is always true. So this case is already done. There is nothing to do

#

The only thing you have to do is that if n actually is an integer, then the claim is true

wind crest
#

hmmm, i see. so that will be 2 onwards?

crimson delta
#

And this you can split up into the cases odd and even

#

Wdym with 2 onwards

#

-17 is also an integer

crimson delta
#

Yes

wind crest
#

okay, thanks for being patient w/ me

#

.close

cedar kilnBOT
#
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flint plover
#

Tell me the lesson i can study and answer it for you

flint plover
#

I wanna take some challenges

floral aurora
#

its propositional logic

#

it makes no sense half the time

cosmic steppe
#

Yeah no I can't really understand this

floral aurora
#

like how do i even get the formula for a proof

cosmic steppe
#

P is equivalent to Q

#

P implies Q

floral aurora
#

is the proof

cosmic steppe
#

Not R implies Q

floral aurora
#

i need to get a formula

#

from the proof

cosmic steppe
#

I have no idea

#

I'm trying to read it

floral aurora
#

@crimson sedge sorry for tag but since you're advanced could you help

#

if you are free ofc

#

<@&286206848099549185> pls

cedar kilnBOT
#

@floral aurora Has your question been resolved?

floral aurora
#

@livid hound

#

pls you can help

#

@uneven cypress

#

pls

#

<@&286206848099549185>

cedar kilnBOT
#

@floral aurora Has your question been resolved?

#
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floral aurora
#

.close

cedar kilnBOT
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naive parrot
#

Hello, I have a very dumb question but I am very curious.. And it would raise my grade up by 1 point.

naive parrot
#

So I have this picture.

#

Of a flower. And I must prove that it is symmetrical.

#

From the teacher's reaction it is definitely symmetrical in some way..

#

<@&286206848099549185>

#

if you bend it half way it will not be symmetrical, but how can I prove It's symmetry? I would be so thankful to whoever can help.

cedar kilnBOT
#

@naive parrot Has your question been resolved?

fair geyser
#

,rotate

wraith daggerBOT
fair geyser
#

it doesn't turn into itself at 90° but it does at 180°

naive parrot
#

Some parts don't turn 180

fair geyser
#

except for this middle thing

#

everything turns 180°

naive parrot
#

But what excacly do you mean by it turns 180? it doesn't change if it turns? Because it does?

fair geyser
#

no wait you're right

#

why do i see it now and not before lol

naive parrot
#

The teacher said at first it is not symmetrical then caught me leaving the school and told me that she looked long at my picture and if I can prove it she will raise my grade..

fair geyser
#

this part at 9 o'clock is extra fat and is unlike any other

naive parrot
#

So I asked the teacher did she see any symmetry she asked and said I don't know while laughing.. So she said to google the about point and line symmetries

naive parrot
fair geyser
#

well she just didn't see it

#

yes i also think so

naive parrot
#

Well yeah so the conlusion is It's not symmetrical?

fair geyser
#

yeah

#

and she meant it rotates into itself at 180° i assume, and it's not even close

naive parrot
#

well there's no way It's in any way symmetrical in a line symmetry?

#

somehow.

#

I digged all evening.

#

So Im just looking for someone with a clear mind to confirm my finding.

fair geyser
#

no yeah there's no hidden third option

naive parrot
#

Well I'll try to be a smartass and explain my teacher why It's not symmetrical what could make it symmetrical

#

maybe that'll help

#

Central symmetry (symmetry with respect to an internal point) - when there is a point inside the figure that always bisects the line segments connecting the elements on opposite sides. As a rule, this point coincides with the center of the figure and can also be called the center of symmetry.

#

neh

cedar kilnBOT
#

@naive parrot Has your question been resolved?

cedar kilnBOT
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floral anvil
#

💀 help pls

cedar kilnBOT
patent cape
#

just look at 2 points, xo the slope formula for them and then look at the y intercept for b

#

then replace in y = mx + b

#

the slope formula being
m = (y2-y1)/(x2-x1)

#

where y2 and x2 are the coordinates of 1 point and y1 and x1 are the coordinates for the first point

#

preferabely pick the 2nd point higher up the line so tue slope is positive and easier to work out

floral anvil
#

alr

#

thx

patent cape
#

np

cedar kilnBOT
#

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swift sinew
#

hi

cedar kilnBOT
swift sinew
#

oh

#

uhm

glass lodge
#

First find the percent of sports

#

So 100 minus all the other categories

cedar kilnBOT
#

@swift sinew Has your question been resolved?

swift sinew
#

no

dusty hazel
#

Cross

swift sinew
#

🚫

dusty hazel
#

React

swift sinew
#

🙅‍♀️

dusty hazel
#

bruh.

swift sinew
dusty hazel
#

yeah so get the % for sports first.

swift sinew
#

oh

#

see

#

i was thining u could do it for me

#

@dusty hazel

dusty hazel
#

i definitely will not do shit for you.

#

that isn't how this works.

cedar kilnBOT
#

@swift sinew Has your question been resolved?

cedar kilnBOT
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unreal pelican
#

How do I find the geometric series?

cedar kilnBOT
dire geode
#

write $3.16316316... = 10 \cdot 0.316316316...$

wraith daggerBOT
#

riemann

unreal pelican
#

ok

#

thats it?

dire geode
#

no

#

try writing a geometric series with the second term in the product

unreal pelican
#

not following

dire geode
wraith daggerBOT
#

riemann

dire geode
unreal pelican
#

thanks

#

close()

#

.close

cedar kilnBOT
#
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dense frigate
cedar kilnBOT
dense frigate
#

what do I do now?

dire geode
dense frigate
#

i'm not sure how to distribute factorials

#

Like is (2n+1)! equal to 2n!+1!?

dire geode
#

do you know the definition of factorial?

dire geode
#

n! = n (n-1) (n-2) ... (3)(2)(1)

dense frigate
#

Hmm

#

So how would I rewrite (2n+1)!
(2(n-1)+1)(2(n-2)+1)?

dire geode
dense frigate
#

well you multiply by decreasing numbers

dire geode
#

so what's 2n+1 decreased by 1?

dense frigate
#

2n?

dire geode
#

yes

dense frigate
#

So then how many times do I decrease it?

#

Like if this were a fixed number then you multiply until it reaches 1

dire geode
#

until you can cancel

dense frigate
#

uhuh...

dire geode
#

what's $\frac{7!}{10!}$

wraith daggerBOT
#

riemann

velvet cape
dire geode
velvet cape
#

😔

dense frigate
#

(7x6x5x4x3x2x1)/(10x9x8x7x6x5x4x3x2x1)

#

ohh so then you cancel out the stuff below 8

dire geode
#

exactly

dense frigate
#

1/(10x9x8)

dire geode
dense frigate
#

okay then lemme see...

dire geode
dense frigate
#

do I simplify more?

dire geode
#

where'd your factorials go?

#

and also no

dense frigate
#

Oh so I just leave the factorial symbols there

velvet cape
#

EW

#

bro wtf

dire geode
#

<@&268886789983436800>

velvet cape
#

<@&268886789983436800>

dire geode
dense frigate
calm sierra
#

ty

dire geode
#

good. so expand (2n+3)! a few terms

#

it's very similar to the 7!/10! example earlier

cedar kilnBOT
#

@dense frigate Has your question been resolved?

dense frigate
#

@dire geode

dire geode
#

you're missing a (2n-3)! in the denom

dense frigate
#

It just keeps going

dire geode
#

it does. but it does keep going on both bottom and top

dire geode
dire geode
dire geode
dense frigate
#

yeah

#

well if n=3 then the numerator is 0

#

wait nvm

#

uhuh so the 3! cancels

#

so that means you get (n+1)^6/(2n+3)(2n+2)n^6

#

if you just look at the highest power, it's n^6/n^6 = 1

#

so it's inconclusive?

#

wait no

#

it's n^6/n^8

#

so it goes to 0

#

.close

cedar kilnBOT
#
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strange fulcrum
#

T

cedar kilnBOT
crimson sedge
#

hm

strange fulcrum
#

Why I am getting wrong answe

#

May someone help me please

crimson sedge
hollow minnow
#

Weierstrass sub

crimson sedge
#

oh nvm

manic acorn
hollow minnow
#

It doesn’t cancel like that

#

t^2 + 1 I mean

strange fulcrum
#

Then does the 2 cancel each other

strange fulcrum
hollow minnow
#

Sure

strange fulcrum
#

Hmm okay but why can’t I cancel t^2+1

#

Is it because of + sign

hollow minnow
#

Yeah you have two terms in the denominator and t^2 + 1 is not a common factor

strange fulcrum
#

Facts

#

I will try again

cedar kilnBOT
#

@strange fulcrum Has your question been resolved?

strange fulcrum
#

.close

cedar kilnBOT
#
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desert tangle
#

$\begin{bmatrix}0\6\end{bmatrix}$=$\begin{bmatrix}-6\-8\end{bmatrix}$-D

wraith daggerBOT
#

donttry

desert tangle
#

D=(-4,-2) right?

#

the (-6,-8) was supposed to be a (-4,-8)

cedar kilnBOT
#

@desert tangle Has your question been resolved?

cedar kilnBOT
#

@desert tangle Has your question been resolved?

cedar kilnBOT
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bold eagle
#

Help please

cedar kilnBOT
bold eagle
cedar kilnBOT
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slender quartz
#

I need the solutions to this quadratic equation I have gone as far as dividing but don't understand the rest

toxic moat
#

er

#

i like the hammer

#

its called quadratic formula

#

but leaving that aside

#

what did u get after u divided?

slender quartz
#

x^2-2x-3=0

#

but what do I do afterward

toxic moat
#

ok so um

#

just

#

guess numbers

#

LOL

slender quartz
#

a kid asked me and i didn't have the answer

#

so yeh

toxic moat
#

thrs slightly more systematic approaches

#

like

#

vietas

#

quadratic

#

but generally

#

just check the factors

#

n guess em

#

plug em all in

slender quartz
#

oooo

toxic moat
#

yes

slender quartz
#

so do I follow the zero product property here

#

or i got plug em in

toxic moat
#

oh

#

yea no

#

uve to factors it first

#

then u apply that zero product property

slender quartz
#

yea i did

toxic moat
#

um

slender quartz
#

and now I do the zero property

toxic moat
#

whatd u get aft factor

#

oh

slender quartz
#

right..

toxic moat
#

oki yes

#

idk

#

u

#

didnt show ur steps lol

#

u just said u did this n that

#

ive no idea where u at lol

slender quartz
#

okay sry

#

lemme show

#

wait

#

im very disorganized

#

sorry

#

i have fixed it

toxic moat
#

yea

slender quartz
#

i now add 3

toxic moat
#

thats right

slender quartz
#

and -1

#

right.......

toxic moat
#

yea

slender quartz
#

then....

#

i get..

toxic moat
#

ur ans

hybrid otter
toxic moat
#

wot

slender quartz
#

x=-1 and x=3

toxic moat
#

yes

slender quartz
#

and the answer id b

#

is*

#

dang that kid was smart to ask such question

#

he was like 8 yrs old

toxic moat
#

...

slender quartz
#

i am dissapointed in myself

toxic moat
#

mayb

#

that kid

slender quartz
#

🤓

toxic moat
#

was tryna rickroll u

slender quartz
#

no

#

he was at the librery

#

he seemed like a proper nerd

#

anyways

#

thx

toxic moat
#

WOW

#

kinda mean

slender quartz
#

how do I end this thingy

toxic moat
#

well

#

u pray to me

#

.close

cedar kilnBOT
#
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toxic moat
#

and i do it

slender quartz
#

nerd id a good thing

#

.close

toxic moat
#

i did it

#

np

cedar kilnBOT
#
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ornate wren
cedar kilnBOT
ornate wren
#

how do you do this with the 9 in front

digital cliff
#

you can substitute u=3x

ornate wren
#

ah

#

ty

#

.close

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gusty lake
#

hello can someone explain to me why my answer is wrong?

modern compass
#

there's no way 4th root of 1250 is 316

granite wyvern
#

its 5

#

of 625

gusty lake
#

.close

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ornate wren
cedar kilnBOT
ornate wren
#

answer is 5/2, i keep getting 3/2

#

i got 9/2 - 3 for the first bound

modern compass
#

you can't integrate it like that because it's absolute value

#

the function (x-1) is negative from 0 to 1, so the absolute value changes the sign

#

basically you have to split it over the positive and negative intervals and then integrate (x-1) where it's positive and -(x-1) where it's negative

ornate wren
#

ohh

#

that makes sense then

#

thank you

#

.close

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elder quail
cedar kilnBOT
elder quail
#

I'm trying to figure out why 25 is that answer

#

I don't know how to do the problems from 25 onwards and the answer key has absolutely no explanation

#

could someone help me with #25 and #27

sleek condor
#

its 2 * sqrt(2)

#

not second root of two

elder quail
#

ah right I wrote it down wrong from the answer key B)

#

can you explain how to get that?

sleek condor
#

sqrt(8) = sqrt(4*2)=sqrt(4)*sqrt(2) = 2 * sqrt(2)

elder quail
#

OH

#

THANK YOU THAT MAKES SO MUCH SENSE

#

I was supposed to know how to do that years ago and never understood JFKS;JD

sleek condor
#

the ones before 25 seemd more complicated tho

elder quail
#

they were different, I understood those ones somehow- but the teacher doesn't teach very well and the answer key looks like this

#

only answers for the odd problems and no explanation at all

#

very helpful /s

sleek condor
#

so yeah the rule i used is that (a*b)^c = a^c * b^c

#

with c=1/2

#

a = 4

#

and b=2

elder quail
#

okay thank you!! that makes sense and it's really nice to finally know how to do these kinds of problems

#

.close

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#
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sleek condor
#

w you got for 27?

elder quail
#

3 sqrt2

sleek condor
#

ok nice

#

good luck

elder quail
#

:D

sleek condor
#

bye

elder quail
#

thank!

#

byebye

cedar kilnBOT
#
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formal pasture
#

how do i do this

cedar kilnBOT
granite wyvern
#

For what values of x is sinx = -1/root2

formal pasture
#

wdym

granite wyvern
#

sinx = -1/root2. 180<x<360. Find x.

#

Can you do this?

formal pasture
#

no😭

#

i duno how

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#

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wooden mist
#

In the solution, how did 1.2 and .8 come? Please explain.

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#

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bold hazel
cedar kilnBOT
bold hazel
#

is this right

#

nope lmao

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#

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quartz salmon
#

Hi, what does N stand for here?

cedar kilnBOT
violet night
quartz salmon
#

So if N is 4, what do we get

#

$N=4\rightarrow B=b_{4-1}b_{4-2}...b_{1}b_{0}$

wraith daggerBOT
violet night
#

I think im wrong actually, never seen this way of representing it judt do it when i need it

#

Wait nvm thst should be ok

#

A 7 bit system here would have a 2^0

#

So

#

See the bottom

#

It is the n of bits required for the number youre making

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#

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quartz salmon
#

Can someone tell what I'm doing wrong here

cedar kilnBOT
#

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flat pier
#

Hello, this is about arithmetic progression and I don't understand how to solve each of the sequences with the n values for each of these three

cedar kilnBOT
#

@flat pier Has your question been resolved?

flat pier
#

For the 1) I think I understood (with n+1) but for the other 2) and 3) I don't know how to solve them

cedar kilnBOT
#

@flat pier Has your question been resolved?

cedar kilnBOT
#

@flat pier Has your question been resolved?

cedar kilnBOT
#

@flat pier Has your question been resolved?

flat pier
#

Why does it keep saying that

scenic heath
#

It's making sure your question isn't resolves so it keeps the channel open or closes it for others to use

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#

@flat pier Has your question been resolved?

livid tusk
flat pier
livid tusk
#

so for the first one, un=-4n+5. then u(n+1)=-4(n+1)+5=-4n+1. we can see that -4n+5>-4n+1 (since 5>1), thus un>u(n+1) is decreasing.
for the second, see how with each increase of n we're adding n^2+5 which is always positive?

#

and for the last one, ||see if you can write it as k*m^n. you know the behavior of m^n depending on the magnitude of m (for example, 2^n explodes to inf, 1/2^n goes to zero, and 1^n stays the same), so you can determine if it's going to go to zero, infinity, or stay the same.||

flat pier
grizzled geyser
#

.close

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#
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tired inlet
#

hi

cedar kilnBOT
tired inlet
#

i might need some help

#

i multiplied by -2
so
-2L=-2w-8
2L+2w=52
do i just subtract now?
even if if the equals sign is in different places

vital valley
#

Why

#

You can just substitute

zenith sail
#

Or yeah, you could use substitution instead

vital valley
#

Replace L with w+4 in second equation

tired inlet
#

and then>??

vital valley
vital valley
tired inlet
#

but

vital valley
#

Solve for L

tired inlet
#

w+4=L
2L+2W=52

#

how am i supposed to do that

granite wyvern
tired inlet
#

but even if i added it

#

they wont eliminaten 1 variable

granite wyvern
#

You only need to eliminate one variable

tired inlet
#

yes

granite wyvern
#

The other remains

tired inlet
#

yeah

granite wyvern
#

And you find its value

tired inlet
#

ye

crimson sedge
#

sub eqn1 in eqn2
2w + 8 +2w =52
w = 60/4 = 15
sub w=15 in eqn1
L = 15 +4
L=19 w=15

tired inlet
#

OHHHH

#

i forgot to multiply the w

crimson sedge
#

amazing

#

the more you know

tired inlet
#

fr

#

thank you sir

crimson sedge
#

you're welcome

tired inlet
#

waoit

tired inlet
#

u were wrong i think

crimson sedge
#

i might have been wrong
im in bed typing with 1 hand with 1 eye closed and the other opened

tired inlet
#

oh

crimson sedge
#

wont be surprised if im wrong

tired inlet
#

heklp me bro

#

if i get this last one wrong

#

i have tos tart all over again

crimson sedge
#

ok send it

tired inlet
#

hee

#

here

#

i think i can do this on my own thp

#

jus multiply the first eqn by -2

vital valley
#

Yes

crimson sedge
#

g = 13 - c

26 -2c +4c =40
2c = 14
c= 7
g=13 -7
g =6

#

gl

tired inlet
#

NOOOOO

#

i wanna shoot myslef

#

i reloaded the page

#

now i have to start all over

#

i hate this