that is my best guess..
#help-27
trail cairn
i need to go now sadly.. ihope this is helpfull somehow.. goodluck!
Ty man
trail cairn
dw both are correct ;3 i am alas but a planet ;3
Bro friend?
Now we could use ur thing
I'll catch onto it again later
devout snowBOT
@trail cairn Has your question been resolved?
raven forge
Is this AOPS v1/v2?
maiden cloud
Task 11. (0–2)
For a performance in a certain theater, tickets were sold according to the following price list.
A total of 200 tickets were sold for this performance.
After paying the costs related to organizing the performance, amounting to 25% of the ticket sales revenue, the organizers had 4665 zł left.
Calculate the number of reduced-price tickets sold for this performance. Show your calculations.
maiden cloud
fluid stag
well then, as always, for future helpers, what have you tried and where are you stuck?
woven radishBOT
Result:
5831.25
So they earned 5831,25 zł in sales
coarse flume
Are you sure it's ×1.25
maiden cloud
Yes cause it’s 85% and we’re missing 25%
coarse flume
Let's say I lost 99% of my money and I only got 1 dollar left
How much did I originally had
maiden cloud
100
coarse flume
Ok so how did you calculate that?
maiden cloud
Idk
coarse flume
Also where are you getting 0.85 from
coarse flume
What?
woven radishBOT
Result:
6997.5
200(x+y)=6220 zł??
coarse flume
What are we calling x and y
trail cairn
Is this AOPS v1/v2?
IOQM 2022
devout snowBOT
@maiden cloud Has your question been resolved?
maiden cloud
What are we calling x and y
x regular and y discounted
maiden cloud
<@&286206848099549185>
maiden cloud
Chop chop
finite fable
<@&286206848099549185>
how many tickets were there?
maiden cloud
how many tickets were there?
200
maiden cloud
200-x
maiden cloud
Money
maiden cloud
6220-x(35)=y
finite fable
6220-x(35)=y
huh?
finite fable
i am asking ya price of one regular ticket
tulip peak
6220-x(35)=y
Almost! I think 6220-x(35)=y(25) is closer
devout snowBOT
Chop chop
Helpers are just people volunteering their time to help you. Be polite and patient.
tulip peak
Okay, so you correctly figured out the full price of the tickets, 6220.
You also know that if we have x as the number of regular tickets, and y is discounted tickets, then we have:
x+y=200
And that
6220=35x+25y
Do you think you can solve this now?
celest lantern
Your behavior is unacceptable, OP.
maiden cloud
Okay, so you correctly figured out the full price of the tickets, 6220.
You als...
No
Idk how to eliminate x and y
To have one variable
tulip peak
Try rearanging the first equation
harsh stream
**Task 11. (0–2)**
For a performance in a certain theater, tickets were sold ac...
Ok like ppl have said
Let x = number of reduced price tickets and y = number of regular price tickets
Total: x+y=200 so y = 200-x
The revenue is obviously 25x+35y
Sub y in then then ull get ur revenue in x and then the cost was 25% this imples the organizer kepts 75% so 0.75(revenue in x) = 4665 fill in the blanks to solve it
maiden cloud
No x for regular and y for reduced
tulip peak
Once you rearange, you should have x=200-y, which you can then substitute into the second equation, does this make sense?
harsh stream
No x for regular and y for reduced
Dawg it doesnt make a difference keep x as reduced we want reduced
Why solve for y when its irrelevant
maiden cloud
6220-x(35)=200-x(25)
maiden cloud
602 regular were bought
tulip peak
6220-x(35)=200-x(25)
Almost! In this case we want 6220=35(substitute here)+25y
We want to get rid of x so we can solve for y
maiden cloud
,calc 602*35
woven radishBOT
Result:
21070
Chop chop read what i sent takes 2 seconds
tulip peak
602 regular were bought
Remember how the question said only 200 tickets were bought? 602 can't be correct. Try again
maiden cloud
Can you solve this?
celest lantern
Can you solve this?
Can you do it?
People do not work for you.
Your behaviour is unacceptable for twice.
fluid stag
Can you solve this?
!noans
devout snowBOT
Can you solve this?
The purpose of this server is to help you learn; please don't ask for direct answers. Ask for guidance, explanations, or feedback instead.
celest lantern
Remember, helpers are volunteers, do not assume people do for you freely.
maiden cloud
Bring the attitude down.
ebon coyote
Sorry, but no, all this is coming from you telling someone else to "chop chop"; that's on you
celest lantern
Bring the attitude down.
Bring yours down.
ebon coyote
Further, as has been stated before, the purpose of this server is to assist you in your work, not to do your work for you.
ebon coyote
Yes cause it’s 85% and we’re missing 25%
Number one - where did 85 percent come from here?
devout snowBOT
@maiden cloud Has your question been resolved?
maiden cloud
Number one - where did _85_ percent come from here?
To know what’s the real amount
ebon coyote
Mathematically speaking, what did you do to get 85?
Because that's nowhere in the question you've posted
@maiden cloud
gloomy aurora
please post your ENTIRE thought process
ebon coyote
Nothing idk what to do
@gloomy aurora I mean...
gloomy aurora
<@1432058557636808715> I mean...
updated suitably.
finite fable
updated suitably.
gang this is still not solved 😭
@maiden cloud is the problem solved?
devout snowBOT
@maiden cloud Has your question been resolved?
ebon coyote
_Mathematically speaking_, what did you do to get 85?
@maiden cloud, you're gonna have to do better than just answering ❌ to the bot - you've still not responded to this question I've put to you here ^
or to Annie's request to show your entire process
maiden cloud
I don’t know what now
summer summit
what is your question still.
summer summit
I don’t know what now
if your question has not been answered, what is your question?
maiden cloud
if your question has not been answered, what is your question?
My question is how to solve it
summer summit
My question is how to solve it
right, and someone asked you a question after that. you should answer that so the other helpers can have an easier time guiding you through it.
ebon coyote
Yes cause it’s 85% and we’re missing 25%
so I shall reiterate the question I'd asked you - why, when the organisation costs amount to 25% of the revenue generated, have you used the number 85%?
noble mango
My question is how to solve it
Do you expect random people on the Internet to do all your work for you and then hand it to you on a golden platter? I'm sorry, but you aren't gonna go far with that kind of mentality.
granite zenith
Perhaps it was a carry over error
Remember that percentage must add up to 100 here
so if the full revenue is 100%
and they spent 25%
then they have 100%-25% left over
ebon coyote
fyi, I wanted to get him to say that
granite zenith
Yeah but he's confused and using the wrong number I think
ebon coyote
It's not even that
I already pointed out that this was the first hurdle, by asking him where he got 85% from
I asked that over 4 hours ago, with no response to it
granite zenith
I suppose he was not very interested in answering that
ebon coyote
Which can only mean he won't be interested in answering any other question posed to him
granite zenith
Yeah thats why i just put it there incase he reads it
ebon coyote
"Coach, I'm trying to run this hurdle race, but I keep stumbling over them"
"Okay, why are you in a potato sack?"
"That isn't the problem, just help me not stumble over these hurdles"
"Get out of the sack first"
Not too dissimilar a situation to this
granite zenith
solution 2: roll under the hurdles
finite fable
"Coach, I'm trying to run this hurdle race, but I keep stumbling over them"
"Oka...
If they are in potato sack, are they potato?
If they were a human, and they became a potato does that mean humans can become potatoes
Does that mean, I am one step away from becoming peri-peri French fries
ebon coyote
I mean, I dread to think what that extra step to become peri-peri French fries would be; but we're getting more and more off-topic
finite fable
I mean, I dread to think what that extra step to become peri-peri French fries w...
obviously bathing in a tub of peri-peri
duh
getting on-topic. close this channel bruh
ebon coyote
-# (it's more the plural "fries" that's concerning)
finite fable
-# (it's more the plural "fries" that's concerning)
ebon coyote
then they have 100%-25% left over
But yh - @maiden cloud are you claiming that you did 100 - 25 to get 85?
devout snowBOT
@maiden cloud Has your question been resolved?
celest lantern
OP just going to ignore all helpers' questions and waiting for solutions.
What a waste of time and disrespectful behavior.
quaint citrus
What a waste of time and disrespectful behavior.
Should I ban OP?
hard shoal
potent dirge
OP just going to ignore all helpers' questions and waiting for solutions.
There are a lot of people that do that
devout snowBOT
@maiden cloud Has your question been resolved?
summer summit
@maiden cloud if you aren't going to answer the helpers' questions, we will close this channel.
FYI, you will not get answers in this server.
summer summit
yes but we want OP to learn their mistakes and learn how to do the problem.
copper basalt
I think ik it
maiden cloud
<@1493434321892020256> if you aren't going to answer the helpers' questions, we ...
No stop
I’ll continue tomorrow
solid perch
!done in that case.
devout snowBOT
If you are done with this channel, please mark your problem as solved by typing .close
copper basalt
First you need to figure out the value of how much money they had before paying the venue anf stuff
summer summit
I’ll continue tomorrow
then please close this channel and make a new one when you have time/are willing to learn.
celest lantern
I’ll continue tomorrow
A quick note is that if this behavior is still shown tomorrow, no one will be able to help you.
shy osprey
I’ll continue tomorrow
just open a new channel tmr?
flint talon
copper basalt
Thid channel never xlosed lol
primal ferry
odd...
thorn cypress
@maiden cloud are you going to actually come back and use this channel?
thorn cypress
No it doesnt work
do we ask a mod?
spiral raptor
do we ask a mod?
Im not exactly sure how teh closing logic works. I was reading the source code, and it says whoever has the manage_clopen tag can close a channel. But I'm not sure how this tag is assigned
tulip peak
No it doesnt work
I think only OP can close
or mod
I think it will also just time out if we ignore it
spiral raptor
I think only OP can close
And people with the "manage_clopen" tag too. I dont think its neccessarily a mod. ill have to ask the creator of the bot
spiral raptor
I think it will also just time out if we ignore it
It should
primal ferry
And people with the "manage_clopen" tag too. I dont think its neccessarily a mod...
helpfuls can but we tend to choose not to
since OP said "tomorrow" im willing to wait a max of 24h before i pursue
fluid stag
if OP is not flat out trolling or what not we have no reason to close it despite how much we may bitch about it
but you can modping if you think OP is indeed not acting in good faith
last parrot
Why are you all mad over a channel?
So do you have any problems? No? If no then close. Else elaborate.
maiden cloud
If your done with the channel you can close it
Not yet
maiden cloud
A better explanation is needed, else I have to modpings.
Because I’m at school.
gloomy aurora
Because I’m at school.
I mean I don't feel its good practice just to keep a channel open because you're at school and will come back at indeterminate time. You can as well 1) write down progress so far 2) close channel 3) open a new one
solid perch
Because I’m at school.
considering the amount of progress in this channel or lack thereof, might as well you close and reopen later.
river rune
Why are you all mad over a channel?
with all due respect, I don't think the channel is the only thing people are mad at you for.
celest lantern
As observed, OP tends to leave channel opened as an act of revenge, for helpers not giving him what he wants (which is the results). Moreover, a lot of disrectful acts have been given to other helpers like: "chop chop". Once no ones give him answers, he will ultimately stop to reply to others and wait until someone lose their patients to giveaway answers.
Lack of elaboration and cooperation also counted here, waiting for people to solve for him, no thanks, no appreciations, just silently take all the results, what he wanted. Then close, the next day, things repeated again.
fluid stag
As observed, OP tends to leave channel opened as an act of *revenge*, for helper...
if you think so, just modping or modmail
celest lantern
if you think so, just modping or modmail
Yes, I will do it now.
<@&268886789983436800> Please take a look at this channel.
spiral raptor
I think people with the helpful role can close a help channel
celest lantern
That is against the server rules unless other circumstances.
spiral raptor
That is against the server rules unless other circumstances.
Actually?
celest lantern
Re-read the rules, only close if necessary.
upper schooner
Chop chop
Giving you the benefit of the doubt here, even if you're just joking, it really is worth being quite careful with what you say to people who aren't familiar with you, because they may not interpret it as humourously as you.
(if you're actually demanding your helper to hurry up, then that's not cool - remember that people are volunteering to help you, and that there's no obligation for anyone to help you with anything)
river rune
I think people with the helpful role can close a help channel
just because we can does not mean we (always) should.
upper schooner
<@&268886789983436800> Please take a look at this channel.
(grrrr I was already here 
)
celest lantern
(grrrr I was already here <:SCshocked:1119493876495953921>)
My favourite cat 
upper schooner
just because we can does not mean we (always) should.
Yea in general, you shouldn't close the help channel, and let us know 
)
celest lantern
You are my fellow cat too Lute, even if I don't know you (Maybe I left for too long)
river rune
I... don't know who you are, sorry.
river rune
I don't think we should chat here anyway, but last message before I leave: I don't think I will know you if none of my friends here know you.
sharp adder
I think people with the helpful role can close a help channel
i am SOOOOO tempted to but ik i shouldntt-
celest lantern
No worries, I just join to help random people for recess.
raven forge
If someone is free so they can come to my help channel
gloomy aurora
i mean the amount of messages here, this channel as well may be closed
upper schooner
Because I’m at school.
As was mentioned, you are probably going to have a better time getting a new channel, but I do want to remind you that we are not here to do problems for you, but to guide you in how to solve what you're working on. (Us moderators may also get a bit annoyed at people who give you solutions too!)
As I feel it would be better if the channel starts off fresh, I shall close this one, and in your own time, you can open another one. Please do bear in mind to explain, as clearly as possible, what you've tried 
river rune
i am *SOOOOO* tempted to but ik i shouldntt-
no, on top of some other stuff you probably should not engage in as a helper.
spiral raptor
i am *SOOOOO* tempted to but ik i shouldntt-
You could closse it and reopen it
river rune
If someone is free so they can come to my help channel
!noads, please.
devout snowBOT
If someone is free so they can come to my help channel
Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.
upper schooner
i am *SOOOOO* tempted to but ik i shouldntt-
If you do, I'll bite you 
Anyways-
.close
devout snowBOT
sharp adder
no, on top of some other stuff you probably should not engage in as a helper.
-# oh i was /j sorry-
sharp adder
you took away the opportunity from me to close it <:blobcry:971797574916907028>
sameeee 
river rune
-# oh i was /j sorry-
on this sure. but perhaps some other stuff as well.
summer summit
You could closse it and reopen it
(also, it will time out at some point)
devout snowBOT
Available help channel!
potent compass
Pls help
potent compass
The midpoints are different
spiral raptor
Pls help
How is D -2,-6 when you defined that as A?
I think you got the wrong value of D
potent compass
Oh
spiral raptor
Once you fix that you'll fret the right answer
Also check 2 with an updated value of D
potent compass
But is my method right?
spiral raptor
Method for what?
spiral raptor
Confused about what?
potent compass
For b
spiral raptor
Are you confused about how to find the value of D?
potent compass
Yh
spiral raptor
The way I like to do it is that you know that the opposite sides are parallel right?
potent compass
Yh
spiral raptor
So CD||AB
starting from B, last say it moves y units down and x units left to get to A. Then, since the two lines are parallel, to get to D from C, you have to move the same y units down and x units left
So tou can compare it to find the x and y coordinates
spiral raptor
1 min I'll make a diagram
I missed the equal part before
It's because the lines are PARALLEL and EQUAL
spiral raptor
Hmm. I'm not the best explainer. It's really just breaking down of vectors
spiral raptor
To get from B to A, you move left by x and down by y. Since CD is parallel, equal and the same segment orientation, the exact same movement takes you from C to D.
spiral raptor
Idk ehat vectors are
That's fine
spiral raptor
To get from B to A, you move left by x and down by y. Since CD is parallel, equa...
This is the best explanation I can give
potent compass
Oki wait
spiral raptor
How do you do it in class? Like what did your teacher tell you?
potent compass
A formula
spiral raptor
Which is?
potent compass
I don’t remember it’s the equation one or midpoint
spiral raptor
What do you mean
potent compass
To find coordinates
spiral raptor
To find coordinates
Did you write it down? Also is it for midpoint cords or the cords for D?
Because I'm asking for the coords of D
potent compass
Im trying to find that
spiral raptor
Ok no problem. Take your time
The formula will be something like:
A(a1,a2), B(b1,b2), C(c1,c2), D(d1,d2)
b1-a1=c1-d1
b2-a2=c2-d2
spiral raptor
The formula will be something like:
A(a1,a2), B(b1,b2), C(c1,c2), D(d1,d2)
b1-a...
This is just an implementation of what I was saying before
Did you find the formula your teacher gave you?
spiral raptor
Hmm. I'm a really bad teacher
<@&286206848099549185> could someone try explaining it better?
finite fable
what's the problem here
spiral raptor
starting from B, last say it moves y units down and x units left to get to A. Th...
I'm trying to explain this
spiral raptor
To get from B to A, you move left by x and down by y. Since CD is parallel, equa...
This is the best explanation I could give
finite fable
well. ABCD is a ||gm
spiral raptor
The formula will be something like:
A(a1,a2), B(b1,b2), C(c1,c2), D(d1,d2)
b1-a...
And this is the formula I gave
spiral raptor
No. No. I'm explaining how to find D if A, B, and C are given
finite fable
the x coordinate of the midpoint will be same of BD
finite fable
No. No. I'm explaining how to find D if A, B, and C are given
ok wait lemme see
what you explained
gang
you made it very complex
i dont think that was even needed
@potent compass do you see that this is a ||gm ?
spiral raptor
I'm a really bad teacher if I'm to physically with the other person with a pen and paper
finite fable
I'm a really bad teacher if I'm to physically with the other person with a pen a...
no problem man
i will try to explain it to them
spiral raptor
i dont think that was even needed
I know, but skittles got the value of D wrong. I was trying to explain how to get D
spiral raptor
i will try to explain it to them
Please do
potent compass
Yes
finite fable
My WiFi is bad rn
oh ok
devout snowBOT
@potent compass Has your question been resolved?
deft furnace
lemme translate
- provethat for every natural number Un+1 = ...
2 . count the first 5 limits
3 . study the deplacment if Un while -<=Un<=0
- lets say Vn=...
-
Prove that ( (v_n) ) is an arithmetic sequence, and determine its common difference and first term.
-
Write the expression of ( (v_n) ) in terms of ( n ), then deduce the expression of ( u_n ) in terms of ( n ).
i hate thoes type of exercise
faint gorge
What have you tried
knotty sage
Try 1 it’s relatively easy
knotty sage
anynomous for me
Hint:||fraction addition or synthetic division||
deft furnace
Hint:||fraction addition or synthetic division||
still didnt work out
hardy trail
still didnt work out
Hmmmm, how about we put it this way:
Consider the fraction
[ \frac{x - 1}{x + 3} ]
Is there a way to split it into one whole number another another fraction?
woven radishBOT
Average Maths Student
hardy trail
I wonder how we can get the expression "x + 3" on the numerator...
deft furnace
are questioning me or its too stupid that i couldnt solve it?
hardy trail
uhhhh it's a hint for you
faint gorge
You can also just plug u_(n+1)=(u_n-1)/(u_n+3) into the equation in 1.
devout snowBOT
@deft furnace Has your question been resolved?
deft furnace
no
deft furnace
Do you even want to be helped or just handed out the solutions
jst want the solution
cuz tbh i am tiered
faint gorge
Well then you should close the channel, it's against the rules and you aren't really considering anything of what other helpers suggested
deft furnace
Well then you should close the channel, it's against the rules and you aren't re...
i di
what helper suggested
faint gorge
**Average Maths Student**
Have you tried this?
deft furnace
yh
faint gorge
Did it work out or did you get stuck
faint gorge
What's the rest, 2, 3, 4?
Like we can't read your mind what you're attempting
2 . count the first 5 limits
is weirdly translated, are you sure that's it?
deft furnace
its literly what the question is saying
faint gorge
Well it doesn't make sense
deft furnace
that why i asked help
faint gorge
Only thing I can think of is the first 5 terms
deft furnace
no it limits not terms\
faint gorge
As well for
3 . study the deplacment if Un while -<=Un<=0
Study the monotonicity or something
faint gorge
That's just how this server works, it's against its philosophy
faint gorge
If you had 1-4/(x+3) then how could this behave on [-1,0]
deft furnace
wym
deft furnace
oh
i usealy count the derivitive
and see the signes of (when postive negative equal zero bla bla)
faint gorge
-# If it helps, I guess
faint gorge
Either way, if you found that out then you can prove it directly with the respective definition of increasing/decreasing
faint gorge
It's just the definition of an arithmetic sequence, nothing to do right now with what we do
deft furnace
bruh
my brain is not braining
i guess its going down
cuz its smaller than zero
faint gorge
Can you support your claim
faint gorge
cuz its smaller than zero
what
deft furnace
wait i got idea
deft furnace
wait i got idea
.
how abt i count U0 U1 U2
and then see wich bigger than the other
faint gorge
Great idea
faint gorge
write down some terms
.
faint gorge
This is why you should have done 2 first
deft furnace
and the opsit
faint gorge
Write down the first 5 terms ffs
deft furnace
no the behavior
faint gorge
then its going down
No
If the next term is larger than the previous then it obviously goes up
faint gorge
if U0<U1<U2
this is not next term smaller
deft furnace
if U0<U1<U2
see
faint gorge
this is next term larger
deft furnace
.\
hey btw i had never studied math in english so please if sometimes u say something basic that i dont know
that means i didnt understand
woven radishBOT
faint gorge
I don't understand
faint gorge
\prpl Arithmetic sequence:
[ a_n=a_1+(n-1)d ]
Geometric sequence:
[ a_n=a_1 r^{n-1} ]
woven radishBOT
faint gorge
This is a geometric sum
deft furnace
exactly
that what i was looking for
and hiow abt the arithmetic sum?
cuz there is an exersise next to it i wana solve it alone just need the laws
if u are wondring
faint gorge
\prpl Arithmetic sum:
[ S_n = frac{n}{2} cdot (a_1+a_n) ]
deft furnace
r u sure its this one?
woven radishBOT
deft furnace
i remembred its something else
faint gorge
What do you remember
faint gorge
It's more general
deft furnace
does it going to work everytime?
faint gorge
Say your first term was indeed a_1 then p=1 and you get the same
Your formula works for arbitrary first term a_p
deft furnace
so look i found another one
faint gorge
?
deft furnace
this is another exersise that i am just stuck here
faint gorge
Then say so, this help channel was focused on this
Usually one opens a new channel so helpers are not confused
deft furnace
oh ok
its ok mb
elmme returne to the old one ig
i got one final question i skipped it
so lemme not
bitter garnet
I am in severe need of help with someone explaining to me how Rudin derived that q
(see equation 3)
devout snowBOT
I am in severe need of help with someone explaining to me how Rudin derived that...
lost laurel
p^2-2/(p+2) gives us polynomial whose root is the square root of 2( if it exists)
the p-(p-√2)=√2 again if √2 exists
which is the motivation for chosing it
( I think?)
devout snowBOT
devout snowBOT
Available help channel!
normal bolt
[
\text{The range of the function } f(x)=\left[9^x-3^x+1\right]
]
[
\text{where } [x]\text{ denotes the greatest integer function, is}
]
[
\text{(a) } {, r \mid r \in \mathbb{N} ,}
]
[
\text{(b) } {, r \mid r \in \mathbb{W} ,}
]
[
\text{(c) } {, r \mid r \in \mathbb{N}\cup{0} ,}
]
[
\text{(d) } {, r \mid r \in \mathbb{N},\ r\ge 2 ,}
]
devout snowBOT
\[
\text{The range of the function } f(x)=\left[9^x-3^x+1\right]
\]
\[
\text{whe...
woven radishBOT
BlackidoZΣ
normal bolt
I solved it and got (a) as my answer but the given is (b) & (c)
my logic is that:
let 3^x = a
f(x) = [a^2 - a + 1] & let a^2 - a + 1 = m
since a >0 and D< 0 => m>0 for all real
it means (m) inside GIF is always positive and positive GIF is the number itself
therefore, f(x) = a^2 - a + 1 = 3^2x - 3^x + 1
now exponential function are defined for x > 0 and x not eqal 1.
so x >0 there its range should be r E N
can you tell me where is the fault in my logic
late mortar
my logic is that:
let 3^x = a
f(x) = [a^2 - a + 1] & let a^2 - a + 1 = m
sinc...
What is D here
normal bolt
discriminant
late mortar
Ok so first of all do you know what the greatest integer function is?
normal bolt
yes
late mortar
Assuming you know then what is [x] if 0<x<1?
normal bolt
it gives x if x is integer and it gives a number left to x if x isnot integer
normal bolt
Assuming you know then what is [x] if 0<x<1?
= 0
sand quarry
\[
\text{The range of the function } f(x)=\left[9^x-3^x+1\right]
\]
\[
\text{whe...
This is not how you use Latex btw
late mortar
= 0
So if there exists a value 9^x-3^x+1 between 0 and 1 of the function your answer is already wrong
Because remember the natural number set
normal bolt
So if there exists a value 9^x-3^x+1 between 0 and 1 of the function your answer...
alright now we need to take cases right?
cases to give gif definition for given function
late mortar
Well I think we only need to find the range of the original function and apply the floor function to it if that makes sense
sand quarry
This is not how you use Latex btw
% Just for your reference
% Although do note you need the enumitem package in your preamble for this to work
The range of the function, $f(x)=\left[9^x-3^x+1\right]$, where $[x]$ denotes the greatest integer function, is:
\begin{enumerate}[label=(\alph*)]
\item ${r\mid r \in \mathbb N}$
\item ${r\mid r \in \mathbb W}$
\item ${r\mid r \in \mathbb N \cup {0}}$
\item ${r\mid r \in \mathbb N, r \ge 2}$
\end{enumerate}
woven radishBOT
normal bolt
how do we solve this now
late mortar
how do we solve this now
Do we know the range of the non floored function?
devout snowBOT
@normal bolt Has your question been resolved?
fresh jetty
Pls I need help with question b
devout snowBOT
Pls I need help with question b
sand quarry
Pls I need help with question b
do you not know how to start with it or
fresh jetty
do you not know how to start with it or
I don’t know how to start
Can I use the midpoint
To find the coordinates of d
winter patrol
don't need coordinates of D for part b)
consider that you can get the equation of a line using point and slope
fresh jetty
Wha
winter patrol
you have the point C
and you can get the slope of CD (without knowing the coordinates of point D)
by applying properties of a parallelogram and slopes of parallel lines
fresh jetty
fresh jetty
you have the point C
and you can get the slope of CD (without knowing the coordi...
Idk the properties
fresh jetty
Then when do I use M
winter patrol
worry about that later,
you don't need it yet,
that's in the next part where you'll apply a different property
fresh jetty
Ok
winter patrol
Idk the properties
If you don't know the properties it would also be a good idea to look them up
fresh jetty
I am
fresh jetty
I’m still learning
winter patrol
Did you look up the properties
specifically the ones that mentions sides being parallel?
fresh jetty
Yeah but I’m still doing tht
Cd is parallel and equal to ab
Do I use gradient
Bc their parallel
fresh jetty
Did you look up the properties
specifically the ones that mentions sides being ...
Do I use gradient
winter patrol
slope, gradient
winter patrol
don't need the gradient equation for CD, just apply that CD has the same gradient as AB
fresh jetty
I’ll have to go soon
winter patrol
You now know that CD has a slope of 1
and passes through the point C
winter patrol
and the gradient
devout snowBOT
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Available help channel!
stuck reef
devout snowBOT
sharp adder
,rccw
woven radishBOT
stuck reef
Ig using vieta would result in some manipulation
celest lantern
A picture of the original question would help.
shy osprey
A picture of the original question would help.
???
shy osprey
.
stuck reef
A picture of the original question would help.
well that is the original question
sharp adder
^
shy osprey
I'mm send a pic of how I tried to solve this
have you not learnt the propert for common roots?
celest lantern
AH nevermind, I forgot to scroll up.
stuck reef
have you not learnt the propert for common roots?
Ah Idk I might've forgotten
shy osprey
Ah Idk I might've forgotten
check your notes again if you cant find it search up online
celest lantern
Since d,e,f are in G.P., then aren't $e^2=df$?
woven radishBOT
Mercury (ヤフォダ)
shy osprey
pretty famous property for your QE in you grade i think
celest lantern
Then I guess you could just find the determinant.
Maybe start with the second equation?
stuck reef
Then I guess you could just find the determinant.
wouldn't that be the longer route
celest lantern
wouldn't that be the longer route
Nah, by substitution of e^2 =df.
It could cut the length down, I guess.
Why don't you give it a try?
stuck reef
Nah, by substitution of e^2 =df.
well what i did was since it's given that they're in GP I just assumed they could be consecutive terms
and let x be common difference and d first term
celest lantern
Interesting. Looks fine though.
shy osprey
and let x be common difference and d first term
common differnece?
stuck reef
common differnece?
ahh geometric difference or whatever you call it.
stuck reef
common differnece?
Dude that property doesn't seem to work imo I'm not able to manipulate it
shy osprey
Dude that property doesn't seem to work imo I'm not able to manipulate it
common difference?
wdym
devout snowBOT
@stuck reef Has your question been resolved?
devout snowBOT
stuck reef
jojo
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Available help channel!
keen sundial
Why did they make it round brackets (a,b)
devout snowBOT
Why did they make it round brackets (a,b)
sand quarry
Why did they make it round brackets (a,b)
it is a technicality
a limit, by definition, must be approached from both sides
but at the endpoint you dont know what is happening outside of that interval
you cant 'see' what the function is doing outside of [a,b]
keen sundial
but at the endpoint you dont know what is happening outside of that interval
Yes but even if u use round brackets
U can’t see whats happening outside this interval too
sand quarry
U can’t see whats happening outside this interval too
if you say it is differentiable on [a,b] you are making assumptions about what is happening outside that interval
if you say it is differentiable on (a,b) you are not making assumptions about what is happening outside that interval
devout snowBOT
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astral aurora
How can I easily tell which side is opposite and which side is adjacent in a triangle? I keep mixing them up and want an easy way to recognize them
devout snowBOT
How can I easily tell which side is opposite and which side is adjacent in a tri...
crystal dawn
ignore the longest side. is the side right next to your angle? if yes, that's the adjacent one. otherwise it's the opposite.
astral aurora
If Which side is right next to which angle sorry i didn’t understand
crystal dawn
the adjacent and opposite sides are always in reference to one of the two non-right angles of your right triangle
now, the word adjacent means next to
so if the side (not the longest side, we don't care abt that as it's always the hypotenuse) is next to the angle of interest, then it's the adjacent side
otherwise it's the opposite side
astral aurora
Oh yes i understand thank you but what if its not given because my teacher just give a plain triangle with only the 90 degree side and she wants us to state which side is adj and which is opp
solid perch
then you have to choose one of the two angles to mark as a reference angle.
astral aurora
crystal dawn
well in this case your angle of interest is angle A
if your followup question is "how do you determine the angle of interest", the answer is "it depends on the question/situation"
astral aurora
Ohhhhhhhhh so they’ll always give it to us???
crystal dawn
if they do not then you will have to determine from context
crystal dawn
and what about them?
like, what are you asking about these types of questions?
how to determine angle of interest?
astral aurora
Yes
astral aurora
Ohhhhhh i get it so they’ll always mark it for us right?
so we can tell which one is opp and which is adj
crystal dawn
always is a stretch. again, if it is not marked, then you will have to determine from context
but usually even if it is not marked the question will tell you what the angle of interest is. then you'll just have to draw it
crystal dawn
then you have to choose one of the two angles to mark as a reference angle.
yo, take over for me, need to go do some stuff
astral aurora
So for example if the question says whats the measure of angle o the angel interest is o right?
solid perch
yes.
astral aurora
Wait omg i get it thank you so much guys
solid perch
nice! anything else?
astral aurora
No thats it thank you
solid perch
alright, then you may .close the channel (type that text in boxes, including the .). all the best!
devout snowBOT
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Available help channel!
desert scaffold
In 1) why did my teacher put 1/b but most sources use bx?
devout snowBOT
In 1) why did my teacher put 1/b but most sources use bx?
desert scaffold
I understood all but I mean what’s the difference
Why are these function in b all 1/b?
solid perch
,rccw
woven radishBOT
solid perch
if b is the period of the sinusoidal function, then 1/b is the frequency. (if you've studied physics you may have heard of the term angular frequency , this is the same concept.)
so I guess 1/b is more used because it allows the period to be expressed as a transformation of the function sin(x) or cos(x).
desert scaffold
So b in this case represents the frequency?
solid perch
no, in the textbook, b is the period, it looks like. you might want to read further - the text should introduce what b is.
desert scaffold
It only shows examples of how to solve
Or the period 2pi|b|
Same thing on the internet the equation is 2pi/|b|
For period
solid perch
then yeah, looks like your text is using b as the period.
desert scaffold
I was trying to solve a question to prepare for my exams and I couldn’t since I didn’t know how to app,y the value of b which in my case equaled to 3pi into the function 1/b x
I put 1/3pi x
Basically f(x)sin(1/3pi x)
But Gemini said otherwise
It said sin(3pi x)
solid perch
I'm not sure if I can continue answering this, but I would encourage you to show the question.
(and your working too.)
solid perch
,rccw
woven radishBOT
desert scaffold
I would easily solve this question in the form (bx) but 1/b x is confusing
Or did I do it correct
solid perch
,rccw
woven radishBOT
solid perch
okay, so what's your final answer?
desert scaffold
F(x)=sin(1/3pi x)
solid perch
you've correctly found b, and it is 3pi.
solid perch
F(x)=sin(1/3pi x)
then no. it's sin(3pi x).
solid perch
if you want to use sin((1/b) x), then your period is 2pi b, not 2pi / b.
desert scaffold
I heard that somewhere
Could you explain further?
Please
Oh wait I think I got it basically when we use (bx) we use 2pi/b but when we use 1/b x we use 2pi b
Right?
solid perch
the general rule is for $y = \sin(Bx)$, the period is always $\frac{2 \pi}{|B|}$.
woven radishBOT
go maximax or go home (Chiaki)
desert scaffold
Oh wait I think I got it basically when we use (bx) we use 2pi/b but when we use...
So basically this right?
solid perch
now, if your B happens to be fractional, don't care - apply it in the period formula anyway.
solid perch
So basically this right?
I don't like splitting this into cases.
solid perch
**go maximax or go home (Chiaki)**
I'd much prefer applying this general rule.
but I guess yeah, that is what the cases look like.
desert scaffold
No ty
solid perch
!done then, if not. all the best!
devout snowBOT
If you are done with this channel, please mark your problem as solved by typing .close
desert scaffold
.close
devout snowBOT
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Available help channel!
modest ferry
Hey can anyone help me with γ)? I feel like I'm doing something horribly wrong
modest ferry
for x>0 solve the equation xd
i am disgusted by how ugly it looks and im almost certain its wrong 🙏
lean crater
quick/rough translation?
coarse flume
Hey can anyone help me with γ)? I feel like I'm doing something horribly wrong
Ln(e^2x-1)-ln(e^x) should be ln((e^2x-1)/e^x), not what you wrote
modest ferry
where is this 😭 im lost xd
oh
wtf was i thinking 🙏 thank you guys 100 times btw
.close
devout snowBOT
lean crater
wtf was i thinking 🙏 thank you guys 100 times btw
in any case, you would get a form of
$$[\ln(e^{2x} - 1) - 2x] - [\ln(e^x - 1) - x] = \ln(e^{2x} - 1) - x$$
notice that $\ln(e^{2x} - 1)$ and -x appear on both sides, so much faster, youd get $$\ln(e^x - 1) = 0$$
woven radishBOT
reze ♡
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Available help channel!
zealous bronze
devout snowBOT
zealous bronze
I need help in 3rd question
solid perch
,rccw
woven radishBOT
zealous bronze
First of all I had my assumption that in parallelogram opp angles have only 1 same angle bisector .
But I got to know its wrong
solar goblet
have you tried drawing a figure?
solid perch
?
I didn't look at your question, sorry. I just rotated your image for future helpers.
zealous bronze
I didn't look at your question, sorry. I just rotated your image for future help...
Oh k
<@&286206848099549185>
finite fable
<@&286206848099549185>
have you drawn a figure?
the hint is
that a triangle will be formed
with one angle 90 degree
then using vertical angle property you will find that one of the angles of the shape that is constructed by joining the angle bisectors is also 90 degree
zealous bronze
have you drawn a figure?
Yes but I didn't understand logic
finite fable
Yes but I didn't understand logic
share the figure first of all
zealous bronze
zealous bronze
that a triangle will be formed
No triangle is formed
finite fable
No triangle is formed
ok. do you see the figure in middle?
mark it's vertices
and then send the figure again
zealous bronze
ok. do you see the figure in middle?
Its rectangle
finite fable
Its rectangle
yeah. mark it's edges. name then WXYZ
or smth
then send the figure again
zealous bronze
But I have doubt before that
finite fable
But I have doubt before that
?
zealous bronze
How is 2nd pic right nt 1st ?
zealous bronze
slate blaze
Which question you currently on?
zealous bronze
Which question you currently on?
3
zealous bronze
Than your figure is too wrong
Howwww
zealous bronze
the first figure is more of rectangle
No rght one is
zealous bronze
the first figure is more of rectangle
Rectangle is a parallelogram right ?
finite fable
um. no i meant the left one where you wrote "how will rectangle come here". that abcd is more like a rectangle
zealous bronze
It's my 2nd diagram ?
zealous bronze
Try making a ||gm
Ya did
zealous bronze
Which is the 2nd diagram of yours
Yeah
finite fable
so. what's the doubt here?
slate blaze
zealous bronze
so. what's the doubt here?
After diagram how to solve ?
zealous bronze
Wowwwww
zealous bronze
notice triangle DAS here
S?
zealous bronze
can you find what's the sum of D and A is?
180
finite fable
180
then what's the sum of SAD and SDA
mind you the SAD and SDA are angle bisectors
that is half
slate blaze
90
zealous bronze
mind you the SAD and SDA are angle bisectors
Yes
zealous bronze
Ohhh
zealous bronze
now what will be the value of ASD?
90
finite fable
90
now notice RSP is vertically opposite to ASD. so RSP = 90 as well. can you now find all the angles
of the figure in middle?
zealous bronze
now notice RSP is vertically opposite to ASD. so RSP = 90 as well. can you now f...
Yeashhh
So all angles is 90
finite fable
So all angles is 90
which means?
zealous bronze
Of rec
finite fable
well. first of all your diagram should be correct. you were dropping angle bisectors of a rectangle, not a ||gm. after that you needed to prove that the figure in middle is a rectangle. for which you can either approach
- one of the angles is 90 degree
- Diagonals are equal in length
now. you can't really do much with diagonals here
it's quite evident
so you need to figure out a way to prove angles are 90
zealous bronze
well. first of all your diagram should be correct. you were dropping angle bisec...
How 2nd ?
1 I got it . But how do ik I should do th3 step u did
finite fable
How 2nd ?
wdym 2nd?
do you need to understand why diagonals make the figure rectangle?
zealous bronze
do you need to understand why diagonals make the figure rectangle?
Yes y ?
finite fable
Yes y ?
um equal diagonals make one of the interior angles 90, which prove that it is a rectangle
i am gonna go eat dinner
zealous bronze
um equal diagonals make one of the interior angles 90, which prove that it is a ...
Rec interior angle or paragram interior angle?
finite fable
Rec interior angle or paragram interior angle?
rec
zealous bronze
Ohk
slate blaze
i am gonna go eat dinner
i am here
slate blaze
Can u explain
of course
slate blaze
How to develop approach ?
in questions without diagram
first try to make a diagram as neat as possible
slate blaze
after the diagram
in this question you have to go through angles to prove
its a rectangle
zealous bronze
Yes then
zealous bronze
after the diagram
How would Ik that
slate blaze
How would Ik that
the diagram?
zealous bronze
the diagram?
I meant after diagram wt to doo after identifying to prove
slate blaze
I meant after diagram wt to doo after identifying to prove
what you alr know about the diagram
like what information you alr know
zealous bronze
what you alr know about the diagram
Opp angle were equal
slate blaze
you know angle a + d is 180
zealous bronze
Adjacent angle equal to 180 that's it
zealous bronze
you know angle a + d is 180
Yes
But how am asking how will ik I should take thisss and modify it furtherrr
zealous bronze
similarly angle CQB is 90
Yes
slate blaze
But how am asking how will ik I should take thisss and modify it furtherrr
i also never knew this when i used to do this
zealous bronze
i also never knew this when i used to do this
How uk now ?
zealous bronze
Wt
zealous bronze
did you got this
I got solution
devout snowBOT
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Available help channel!
subtle violet
this is legal right??
devout snowBOT
this is legal right??
subtle violet
that's a log_2 btw
slate blaze
hmm
slate blaze
is that a yes?
idk i am not really good with modulus
hollow bolt
this is legal right??
looks correct
ebon coyote
sorry, what's what here?
viral meadow
this is legal right??
Yes, if that's a log_2
hollow bolt
Yes, if that's a log_2
log_2^-1
subtle violet
sorry, what's what here?
log_(2^-1)(x+1)
gloomy aurora
to be clear, since I can't read it, what you wrote is:\
$\log_{2^{-1}} (x+1) +1 < 0 \implies -\log_2(x+1)<-1$?
woven radishBOT
Annie Maqionde
subtle violet
**Annie Maqionde**
yes
ebon coyote
**Annie Maqionde**
Then that is correct afaik
subtle violet
okay perfect
gloomy aurora
that seems to be correct.
subtle violet
the thing is not over so bare with me for a sec
subtle violet
i invert the inequality right?
slate blaze
to be clear, since I can't read it, what you wrote is:\\
$\log_{2^{-1}} (x+1) +1...
i wanna learn this thing first
hollow bolt
i wanna learn this thing first
youtube i guess
gloomy aurora
i invert the inequality right?
'invert' as in?
hollow bolt
it's A right????
yeah
subtle violet
HELL YEAAAAAAAAHHHH
it's the first excercise i solve first try
i feel like god now
thanks
.close
devout snowBOT
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Available help channel!
finite fable
Write in set builder form
$$A = {2,3,5,7,11,13}$$
devout snowBOT
Write in set builder form
$$A = \{2,3,5,7,11,13}\$$
finite fable
should the answer be
$$A = {x \mid x \text{ is a prime number and } x < 14}$$
woven radishBOT
TheAstorPastor
finite fable
or $$A = {x \mid x \text{ is a collection of prime number and } x < 14}$$
woven radishBOT
TheAstorPastor
TheAstorPastor
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
lethal wraith
the first one
devout snowBOT
hollow bolt
<@&268886789983436800>
devout snowBOT
Available help channel!
rocky marlin
devout snowBOT
devout snowBOT
<@&286206848099549185>
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
rocky marlin
ok in 1 min i will do it again when its 15 min
tulip peak
Oh sorry i didn't rwlaize you ahd already waited very very sorry
I thought this was a new thread
stable wraith
potent dirge
<@&286206848099549185>
Wassup?
rocky marlin
alr the image i sent I havnt done these problems in months and forgot how to do them
shell hare
<@&286206848099549185>
??
Why did you ping helpers at 12:01, then 4 minutes later?
Even if someone doesnt respond after 15 minutes only ping once please
rocky marlin
Why did you ping helpers at 12:01, then 4 minutes later?
because someone yelled at me for waiting 11 min instead of 15
so i pinged at 15 min
shell hare
so i pinged at 15 min
Bro.
finite fable
,rccw
woven radishBOT
finite fable
,rotate
woven radishBOT
rocky marlin
i can resend the image
finite fable
resend thepic
rocky marlin
shell hare
,rotate
woven radishBOT
potent dirge
You have the right idea!! You have your roots (although you should label them) And each root has an order of two, which means that the graph goes through those points in a parabolic fashion
rocky marlin
wait so i was right about the line bouncing on the points because its squared?
potent dirge
wait so i was right about the line bouncing on the points because its squared?
Yes!!!
shell hare
Of course. Because it's squared it's always positive
rocky marlin
ok and how about describing these graphs what are the nessesary things to include?
potent dirge
wait so i was right about the line bouncing on the points because its squared?
And if it was say, an (x -1)^3, the graph would cross through the root like a cubic function
finite fable
ok and how about describing these graphs what are the nessesary things to includ...
end behaviour, the x and y intercepts and the sign of the function i think
potent dirge
ok and how about describing these graphs what are the nessesary things to includ...
Your roots, and your y-intercept are usually enough to get a pretty good picture
potent dirge
end behaviour, the x and y intercepts and the sign of the function i think
That is also true
rocky marlin
end behaviour, the x and y intercepts and the sign of the function i think
i already put end behavior and wym sign of the function?
potent dirge
i already put end behavior and wym sign of the function?
I’d argue the “sign” is also a part of end behaviour
I wouldn’t list it as a separate thing
rocky marlin
im confused on what this means
potent dirge
i already put end behavior and wym sign of the function?
I would just recommend, label your freaking points. lol
finite fable
i already put end behavior and wym sign of the function?
um notice that everything in it is squared. so
(x+1)^2 >=0
and similarly, for all
so y>=0
@potent dirge is right here as well. it's kinda implied
finite fable
I would just recommend, label your freaking points. lol
yeah this works as well
potent dirge
im confused on what this means
What are you confused about?
rocky marlin
i dont know what this "sign" means
finite fable
What are you confused about?
they were talking about sign of function
rocky marlin
also the y - is 0,100 right?
potent dirge
Yeah
rocky marlin
and when putting the inequality for the x and y, for x would i put x is greater than or equal to - inf and les than or equal to inf?
potent dirge
and when putting the inequality for the x and y, for x would i put x is greater ...
Well, you can’t really be equal to positive, or negative infinity
rocky marlin
so should i just say inf?
potent dirge
so should i just say inf?
-♾️ < x < ♾️
rocky marlin
ohhhhhh ok i get it now
potent dirge
ohhhhhh ok i get it now
Me personally, I prefer interval notation vs an inequality
x ∈ (-♾️, ♾️)
potent dirge
i dont think i was taught that only inequality
All good. This fancy e, “∈” just means, “is an element of”
So the statement, in English says, “x is an element from negative infinity to infinity”
rocky marlin
ah ok