but why isnt the solution start from - 3
wdym
#help-13
livid hound
steel thistle
like
jaunty mural
steel thistle
idkkkk
livid hound
a basic approach would be to consider what's happening before, between and after the critical locations
as they've done described in their steps and on that number line
steel thistle
but where does the line between 1 and - 3 comes from
livid hound
well 1 is also a critical location
for values less than 1, x-1 is less than 0
for values more than 1, x-1 is more than 0
they're just checking the signs for each interval
but where does the line
what line are you talking about
steel thistle
steel thistle
oh yes
livid hound
for values in that interval,
(x-3)^2 is greater or equal to 0
x-1 is negative,
(x-3)^2/(x-1) is negative or 0
livid hound
well check what happens for values greater than 1
and again as indicated by the work,
the expression is + there
for values greater than 1,
x-1 is positive
and hence
(x-3)^2/(x-1) will be positive for such values
those values don't satisfy the given inequality
tight cove
how does one go about solving this
cedar kilnBOT
how does one go about solving this
tropic oxide
show your work
dense socket
Well if k is a square, you just need to find one side, look at what side has most... info
fallow sedge
Can anyone help me solve this question? im not sure how to
cedar kilnBOT
Can anyone help me solve this question? im not sure how to
livid hound
have you tried anything at all?
livid hound
tell me what your calculations were intended to achieve
i.e. what does doing
72* 2/3
get you
fallow sedge
distance = speed * time
livid hound
ok
fallow sedge
thats what i tried to achieve
livid hound
that would be the total distance, yes
fallow sedge
ok but idk how to find the time that it took
livid hound
with the 80 there, it seems that you identified the new speed would be 80km/h
however you shouldn't be multiplying that by 2/3 hours
you should again apply the relation between distance speed and time
you know the distance and the speed
fallow sedge
mhm
fallow sedge
with the 80 there, it seems that you identified the new speed would be 80km/h
ho...
i dont see why i cant tho
livid hound
because that would tell you how far they can travel in 40minutes going at 80km/h
which is pretty much useless to you
fallow sedge
oh
livid hound
when you are more interested in finding out how long it'd take to travel the required distance at the new speed
fallow sedge
idk what to do to change the 2/3 tho
livid hound
you don't need it anymore
livid hound
you did simplify the
72 (km/hours) * 2/3 (hours)
right?
fallow sedge
yea
livid hound
and what was the result
fallow sedge
48 km
livid hound
you should again apply the relation between distance speed and time
you know the distance
48km
and the speed
80km/h
t = ?
livid hound
not quite
why are you use 48
the original time wasn't 48minutes
48 was the number of km
fallow sedge
oh yea
40-36 then
@livid hound i have another question, i got 0.1667 hours, that should be correct right
livid hound
yeh
fallow sedge
alright
livid hound
show the question
and what you've done and clearly explain your issue
fallow sedge
nvm actually, i think i got this
after im finished do u mind checking it for me?
ok i got 12:06 pm
i think thats correct
@livid hound
livid hound
yeh
fallow sedge
oh my i feel so much more confident after i get a question correct
thank you for explaining to me before
cedar kilnBOT
@fallow sedge Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
crimson sedge
How do I fall in 'love' with maths as a subject and be #1 in it? im currently not the best π
Im year 10 gcse
cedar kilnBOT
How do I fall in 'love' with maths as a subject and be #1 in it? im currently no...
crimson sedge
?!
crystal raptor
proven abyss
hello! i know how to use law of cosines, however i was wondering (if even possible) how iβd go about using law of cosines to solve two triangles. here is the problem:
proven abyss
cedar kilnBOT
@proven abyss Has your question been resolved?
cedar kilnBOT
proven abyss
.reopen
cedar kilnBOT
β
proven abyss
<@&286206848099549185>
cerulean sail
I was trying to do stuff
β¦you do know you donβt have to reply to all helpers pings, right 
crimson sedge
Oh
cedar kilnBOT
@proven abyss Has your question been resolved?
proven abyss
What is D2,E2,F2?
i have to figure that out
proven abyss
is is another triangle with same length for d,e,f?
not that i know of
see i was wondering if this problem could even be solved
cedar kilnBOT
@proven abyss Has your question been resolved?
cedar kilnBOT
proven abyss
.reopen
cedar kilnBOT
β
proven abyss
<@&286206848099549185>
crimson sedge
not that i know of
without knowing u cant solve
cedar kilnBOT
@proven abyss Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
lethal reef
can someone explain whats wrong?
cedar kilnBOT
can someone explain whats wrong?
hearty plinth
Hi
hearty plinth
idk how to solve this problem
ik I'm using the dish method but idk what is wrong with it
rn i have the problem as pi int(0,3) [4-3/1+x]^2dx
oh wait nvbm i have to use the washer method
i still got the problem wrong
what else am i doing wrong?
!15m
cedar kilnBOT
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.
hearty plinth
<@&286206848099549185>
oh wait nvm i completed it i did the formula wrong and messed up my pi placement
but i alos
have another problem that i cannot solve
i need help with this
all ik is that i have to use the dish method
and its in terms of y now
this is what i have currently but it isnt right
nvm i solved
It
but im now confused on this now
this is what i have so faR
<@&286206848099549185>
cedar kilnBOT
@hearty plinth Has your question been resolved?
hearty plinth
.close
foggy mason
I am confused on how (n+1)! is (n+1)(n)(n-1)!
cedar kilnBOT
I am confused on how (n+1)! is (n+1)(n)(n-1)!
foggy mason
I do not know where that came from
velvet mortar
5! Can be written as 5 * 4 * 3! For example
buoyant latch
Write the expanded form of n!
foggy mason
5! Can be written as 5 * 4 * 3! For example
Right I understand that
foggy mason
Write the expanded form of n!
This is where I am lost
velvet mortar
If 5 is n+1 then 4 is n
buoyant latch
What is n!
velvet mortar
And 3 n-1
buoyant latch
What does ! mean
low birch
sorry to get away from doing maths, but what is a masters level thesis in math like? i am a grad student who doesnt have to complete one.. im curious about length etc
low birch
its hard to imagine what lies between a dissertation and undergrad project
besides comp exam, my school requires a project but not a thesis
crimson delta
well you might get a paper from your prof and get told to look into a particular theorem which the prof thinks could be improved
slow thicket
so what two values it is between
-2 and -1
look at the dot again
its not -1.5
its halfway between what two values
slow thicket
they're never going to give you a trick like that
its exactly -1.25
otherwise you couldnt solve it
youd have to guess
so how do you represent -1.25 as a fraction
tough karma
There's a six in the denominator tho
tough karma
Is the six put there or did u put it @split nimbus
Oh
It's -1.25
Looks like it
No
In the decimal it is -1.25
Now convert this into improper fraction
Ofc np take your time
cedar kilnBOT
@split nimbus Has your question been resolved?
slow thicket
yes
that will be true because the value > 1
dont do that
youre supposed to do it by hand
well yeah
but you relied on the calculator
thats the whole point of the question
do you know how to turn 1.25 into 5/4
ok so
break it down
what two fractions sum to 5/4
yes but something simpler
something you know the values of
not quite
they have to equal 5/4
what I was looking for was 4/4 and 1/4
what is 4/4
what is 1/4
in decimal
so what is 5/4
okay now the other way
we know the value is 1.25
we need to convert
so 1.25 is 1.25/1 right
what number do we need to multiply both sides of the fraction with so that we remove the decimals
yep
so (1.25x4)/(1x4)
what does that equal
5/4, but yes
thats all there is to it
yea
yeah
like if it was 1.2
what is the fraction for that
no
slow thicket
what number do we need to multiply both sides of the fraction with so that we remove the decimals
no
remember 1.2 = 1.2/1
how did we get rid of 1.25
we multiplied by 4
because 0.25 is 1/4
so 4*1/4 = 1
same thing here
what is 0.2
how did you get 20
why x100
tough karma
dont use a calculator it doesnt help
slow thicket
what is 0.2 in fraction form
if you multiply by 100 you need to do on both sides
0.2 = 0.2x100/(1x100)
0.2 = 20/100
what is 5
ok so
back to 1.2
what is that fraction equal to
??
5 is not a fraction
and 5 is not 1.2
is 1/5 more than 1
cause 1.2 is more than 1
stop guessing
do you know how fractions work
i think you should watch some videos
about how fractions work
happy to help
good luck
limber sentinel
Hello
zenith sail
Please stop opening channels. Post your question in one and wait
limber sentinel
It was an accident
Can you please help me
Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal places.
@zenith sail
long swan
how many aces are in a standard deck?
cedar kilnBOT
@limber sentinel Has your question been resolved?
gloomy crater
Οβth root of -1
cedar kilnBOT
Οβth root of -1
gloomy crater
how does it equal e^i
turbid spoke
why is x + y = 0
cedar kilnBOT
why is x + y = 0
dull oxide
First of all, it's not x+y
tame wraith
why is x + y = 0
thats not x + y
turbid spoke
?
tame wraith
this doesnt say x + y = 0
cerulean sail
[nor does it imply that x + y = 0]
dull oxide
Division by 2 on both sides of the equation
turbid spoke
aaa I don't understand why they divide?
obsidian coral
Because 2 is a common factor
So you would factor out a 2
Then divide by 2 on both sides
0/2 is still 0
turbid spoke
oh 2(x+y)/2 = x+y?
obsidian coral
You understand that dx/dt and and dy/dt are important too, right?
crimson sedge
cedar kilnBOT
crimson sedge
im not sure how to do this
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
https://www.youtube.com/watch?v=uSvjLw1mCgE&ab_channel=ElizabethLanahan
is this right
crimson sedge
no
cosmic steppe
It's when the function hits the y axis
That means it's when x = 0
What you have is the x-intercept
crimson sedge
so would it be (0,-2)
ancient valley
y intercept is when x=0
patent ingot
Hello Can some1 help me to understand this. I'm starting to learn set theory. How can it be trie that A is not a subset of B.
That makes no sense to me. If A, {A}, are elements of B and {A}, and {{A}} are subsets of B. Then, A should be a subset of B as well? right?
crimson sedge
y intercept is when x=0
is the y intercept (0, 5.8)
ancient valley
crimson sedge
what would it be?
ancient valley
np π
crimson sedge
could u help me figure out how to do this one
i divided the changes in x and y and all of them were equal to -1 (3/-3= -1) (2/-2= -1) but idk where to go from there to find the y intercept
ancient valley
first you would se up an equation for finding the y-intercept
to do this, we could plug in 1 for x
and set the value we add to x, equal to c
if that makes sense
we know if we plug in 1 for x, we get 3
so lets set it up
$-1\left(1\right)+c=3$
wraith daggerBOT
Judgemental Snail
timber mauve
You got the slope so take any point for example (-2,6) so the line equation becomes y-6=-1(x+2)
ancient valley
now, just solve for c
timber mauve
For y intercept plug in x=0 in line equation
crimson sedge
**Judgemental Snail**
4?
ancient valley
yep
crimson sedge
For y intercept plug in x=0 in line equation
so would that make the y intercept (0, 4)
wait no
crimson sedge
idk im lost again 
ancient valley
if you do his method or mine, you get the exact same answer
crimson sedge
so (0,4) is correct for either method?
ancient valley
here, we know standard form for a liner expression is y=mx+c right?
crimson sedge
yeah
timber mauve
so would that make the y intercept (0, 4)
Yes
ancient valley
we know if we plug in 1 for x, we get an output (y) of 3 right?
crimson sedge
yes
ancient valley
so, if we plug in 1 for x, and 3 for y, all we have to do is solve for c
so, 3=-1(1)+c
3=c+1
c=4
crimson sedge
ohh okay i see now
is that equation right
forgot to add the x on -1
howβs that
ancient valley
they look right
crimson sedge
alr thanks for the help
ancient valley
np π
cedar kilnBOT
@crimson sedge Has your question been resolved?
Available help channel!
Available help channel!
proud spindle
How do i do these 3 questions? :)
cedar kilnBOT
How do i do these 3 questions? :)
lean spindle
hint: if two vectors are perpendicular to each other their dot product is zero
dire palm
sqrt(x^2+y^2) = 4
x + y = 0
lean spindle
if two vectors are parallel, then they are just scalar multiples
dire palm
if two vectors are parallel, then they are just scalar multiples
this is right i thinkj
let p be a vector with a magnitude of 4
and its parallel to c
so sqrt(x^2 + y^2) = 4
and p = n c where n is a scalar
(x, y) = n(1, 1)
x = n && y = n <==> x = y
so sqrt(x^2 + x^2) = 4
sqrt(2 x^2) = 4
sqrt(2) x = 4
x = +- 4/sqrt(2) = +- 2sqrt(2)
for x = 2sqrt(2), y = 2sqrt(2)
for x = -2sqrt(2), y = -2sqrt(2)
for i, let p be a vector with a magnitude of 10, and its perpendicular to b, so
p.b = 0
sqrt(x^2 + y^2) = 10
p.b = 0
(x, y).(3, -4) = 0
3x - 4y = 0
x = 4/3 y
sqrt((4/3 y)^2 + y^2) = 10
y = +- 6
for y = 6, x = 8
for y = -6, x = -8
for question j im not sure what the question means
lean spindle
i dont think feeding them the answer would be helpful. they should try to work it out on their own first
anyway, kudos to you
dire palm
im just sending the answers incase theyre in an urgent mater, its their choice to read the steps one by one later when they have the time or not, thats out of my reach
cedar kilnBOT
@proud spindle Has your question been resolved?
proud spindle
thanks so much guys
cedar kilnBOT
cedar kilnBOT
Available help channel!
quasi plover
cedar kilnBOT
quasi plover
Are you familiar with set notations?
i do
but when i actually got the question
i tends to forget, infact somehow felt like dont understand
'
plus the answer sheet make it even worst
quasi plover
Try putting each statement given with English
but the given question said A = 10 and B = 13
doesnt thats mean 1-10 is in the A intercept B?
and 11-13 is in the B
mellow cairn
I don't understand what you're saying, but I worked (a) out like this
3 in {not A and not B}
Therefore 20-3=17 in {A union B}
Therefore 10+13-17=6 in {A intercept B}
The answer is already given I'll just give a better explanation then, mods don't kill me
mellow cairn
Quite normal with Venn diagrams
quasi plover
ik cuz its a basic one and im boutta have an exam on it
mellow cairn
With the info given, you know that there's 17 members in {A union B}
But there's 10 and 13 members in A and B respectively
So there must be 10+13-17=6 members overlapping
mellow cairn
I don't know how to explain, but I'd say forcing in the concept of overlapping into your doubts would help
mellow cairn
Idk it's literally pure reason already
quasi plover
my ADHD aint ready for this
mellow cairn
The facts are that A has 10 members, B has 13 members, but A and B combined has 17 members
For that to work there must be 6 members that are in both sets
Is that better
quasi plover
The facts are that A has 10 members, B has 13 members, but A and B combined has ...
ye
but
isnt that should mean 10 +13 = 17?
but its not either
mellow cairn
No because you're counting the 6 overlapping members TWICE with 10+13
There's only 4 in A only, 7 in B only, and 6 in both A and B
Therefore there's still only 17 members in {A union B}
quasi plover
theres 10 in A and 13 in B
quasi plover
so according to what you trying to say, basicaly there should be 17 members in A U B
mellow cairn
Yes
quasi plover
so what you do
is you trying to find the numbers that also been counted in the intercept A and B
or whatever that thing called
right?
mellow cairn
Yes
quasi plover
i undersatnd the process of what you do to find 17, but not understand the process on why you do 10 + 13
mellow cairn
There's only 4 in A only, 7 in B only, and 6 in both A and B
Basically if you have this information and you try to find {A U B} , you do 10+13-6 because you counted the overlapping members TWICE
Try reversing that process
quasi plover
wheres 6 come from now
mellow cairn
Basically if you have this information and you try to find {A U B} , you do 10+1...
If this makes sense just reverse that process, make the intercept "x"
mellow cairn
wheres 6 come from now
We assume we already know the answer and we try to work out {A U B} instead
mellow cairn
There's only 4 in A only, 7 in B only, and 6 in both A and B
If you add up these you still get 17
mellow cairn
Yes and that's 6
quasi plover
when i try to said it out, i dont understand
quasi plover
ohhhhhhh
ohhhhhhhhhhhhhhhhhhhh
ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
f------------------
i get it
i get the scratch
mellow cairn
Lol
quasi plover
but i wont remember it in the exam
what i do
i tried to focus too much on the diagram
mellow cairn
Yep that's Venn diagrams
quasi plover
Yep that's Venn diagrams
how do i suppose to remember that in the exma
quasi plover
my exam have like tons of other topics, what you do to remember it when you see it in first sight @mellow cairn
quasi plover
Do more questions
what are these question called?
quasi plover
just normal ordinary venn diagram question?
mellow cairn
my exam have like tons of other topics, what you do to remember it when you see ...
I grind past papers for exams
quasi plover
I grind past papers for exams
im trying to do that
now only 2 months left
im getting panicked
mellow cairn
Which exam are you preparing for?
quasi plover
Which exam are you preparing for?
IGCSE math paper 2 and paper 4
mellow cairn
Oh well.
If you're not familiar with Venn diagrams just do Venn diagrams
Are there by topic past papers?
quasi plover
Are there by topic past papers?
what you means by that?
srry im not 1st languang english, i might not understand alot
mellow cairn
As in there might be past papers sorted by topic
quasi plover
As in there might be past papers sorted by topic
Thank you alot any ways
for like opening my eyes or smth
mellow cairn
Thank you alot any ways
My pleasure
mellow cairn
what you means by that?
There are some relevant questions here
quasi plover
There are some relevant questions here
oh thank you
quasi plover
There are some relevant questions here
virus?
mellow cairn
https://mrmannmaths.wordpress.com/home/igcse-extended-maths-0580/igcse-extended-...
I'll just send you the website then
mellow cairn
im scared abit too
It's reasonable, don't trust anyone on the internet
hoary spoke
Sorry, I know this is off topic but can someone give me discord links where people help you in subjects other than maths and are as dedicated to help as here?
slow thicket
Sorry, I know this is off topic but can someone give me discord links where peop...
idk if you'll find a place as dedicated
links should be in announcments
hoary spoke
Okay
cedar kilnBOT
@hoary spoke Has your question been resolved?
hoary spoke
.close
sudden blade
help pls
slow thicket
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
@sudden blade Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
quiet pine
All matrixes are invertible. I'm asked to simplify for X, but not sure if I'm anywhere near the right answer as this gets very confusing quickly.
First equation is the given equation.
quiet pine
I arrived to the conclusion that there's no solution for X. Which doesnt sit right with me
silk thistle
What did you do from lign 2 to 3
@quiet pine
Here is what I'd do :
(ABtX-1)t = B
A. Bt. X-1 = Bt
A. Bt = BtX
Bt-1.A.Bt = X
quiet pine
so take the transpose of both sides, multiply by x and rearrange? Does seem more reasonable
Thank you!
lethal jackal
yeah I see a lot of steps here that are unjustifiable
these two as byshadowz pointed out
these two
these two
quiet pine
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
warm turret
Hello, I need help with a question regarding trigonometry
cedar kilnBOT
Hello, I need help with a question regarding trigonometry
warm turret
The question was
Are the walls of the room perpendicular?
I did a calculation but Iβm not sure itβs actually correct so I just wanted help to confirm it
crisp lodge
If you calculation is using pythagoras theorem then I guess its correct because its only true if the the sides measured 80 and 60 cm are perpendicular to each other
*your calculation
You could also use the cosine rule to show that both walls are perpendicular too
cedar kilnBOT
@warm turret Has your question been resolved?
warm turret
If you calculation is using pythagoras theorem then I guess its correct because ...
Yeah Iβm using that
Thanks then for helping
crisp lodge
No problem π
warm turret
Oh just a question, the 100 CM is at 1M but I converted it to 100cm just so it was easier
Does that change anything
crisp lodge
No it shouldn't change anything
warm turret
Alright thank you
crisp lodge
It's better that you converted
If you are using multiple units at the same when you're calculating your answer could be wrong
warm turret
I calculated mostly by hand, I only used calculator for the exponent part,
crisp lodge
Yh that should be good then π
cedar kilnBOT
crisp lodge
No worries! π
cedar kilnBOT
Available help channel!
rich haven
Can someone tell me what Iβm doing wrong. Canβt wrap my head around it. Red is what mark scheme says
cedar kilnBOT
Can someone tell me what Iβm doing wrong. Canβt wrap my head around it. Red is w...
rich haven
Also if my whole approach is wrong please tell me
cedar kilnBOT
@rich haven Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
stray plover
Hi
ripe fog
what have you tried so far?
ripe fog
close but that doesn't quite group all the x's together
stray plover
Oh
ripe fog
how would you get rid of the -x on the right side
stray plover
-x
No
Omg
-4
To leave x on its own
NO
STOP
IM SO DUMB
To get rid of -x youll have to add x
ripe fog
yepppp
stray plover
So Iβll have to add x to the right?
crimson sedge
yep that would work, but tbh I'd recommend to remove the 4x on the right side
ripe fog
either way works
crimson sedge
so it would isolate the term with x in it
stray plover
Which wld be done by 4x-x?
ripe fog
4x-x gets you 3x right
ripe fog
but you want all the x's together
stray plover
So what do I do
Im stuck
π
I know to remove the negative βxβ I had to add an βxβ but how do I get 4 on its own - if thats what weβre trying to find
ripe fog
I know to remove the negative βxβ I had to add an βxβ but how do I get 4 on its ...
ok lets simplify
lets get rid of the -x on the right side
stray plover
Suew
upbeat lotus
I know to remove the negative βxβ I had to add an βxβ but how do I get 4 on its ...
It is 4
If you get 4 then it's right
stray plover
Plus x to 4x?
ripe fog
Plus x to 4x?
yep yep
stray plover
If you get 4 then it's right
Sure
ripe fog
so whats that get you
stray plover
Wait what
upbeat lotus
,w 4x-20=-x
stray plover
4x+x= would be 4x^2?
wraith daggerBOT
ripe fog
4x+x= would be 4x^2?
4x+x=5x because its 4x+1x
stray plover
OHH YEA
upbeat lotus
4xΓx=4xΒ²
stray plover
SORRY ITS MIDNIGHT HERE AND IM HALF ASLEEP
ripe fog
no worries lmao
stray plover
Now I have 5x
upbeat lotus
SORRY ITS MIDNIGHT HERE AND IM HALF ASLEEP
Go to sleep
stray plover
5x-20=x
stray plover
0
ripe fog
lmao yep
stray plover
Its 5x-20=0
ripe fog
so its 5x-20=0
stray plover
Its 1:29am here I am so sorry
ripe fog
but you want to isolate x
so how do you isolate the x's
you have 5x-20 on the left side
ripe fog
how do you get to 5x only
ripe fog
well
stray plover
X-15=0
ripe fog
wait so we we 5x-20=0 right
stray plover
Yes
ripe fog
subtract 5x from both sides, what's left?
left side is 5x-20-5x=what
right side is 0-5x=what
ripe fog
well
stray plover
0-15x=0
ripe fog
you cant do 20-5x directly since 20 doesnt have an x
stray plover
X=20
ripe fog
but 5x-5x=0 right
stray plover
One more question after this then I can sleep
Its a school day too bro
Had a family party yesterday so cldnt do anything yesterday
,w 2h-11=7h-41
wraith daggerBOT
ripe fog
lmao gl
stray plover
go to sleep
Na but man thanks a lot i j couldnt comprehend maths rn coz of the time but u explained it good
Thanks for being patient
ripe fog
appreciate ur patience
cedar kilnBOT
cedar kilnBOT
Available help channel!
fossil thorn
cedar kilnBOT
fossil thorn
What is the correct way to graph a logarithmic function?
I'm not sure if what I'm doing is right, and if it is which method is better?
crisp lodge
The way I would do it is: we know that the logarithmic function is the inverse (opposite) of the exponential function. I.e. log2(x) is the inverse of 2^x. The way of graphing an inverse is by reflecting the graph at the the line y=x...the visual below may help
fossil thorn
The way I would do it is: we know that the logarithmic function is the inverse (...
tyyy! How did you convert log2(x) to 2^x? What if I write that as 2^y =x?
crisp lodge
Np!
you would not need to convert log2(x) to 2^x as such you would use the graph of y=2^x as a reference to be able to draw the log function.
Basically, you would have needed to remember what 2^x would look like in the first place
remember that all exponential graphs pretty much look similar: they slope upwards and always go through 0 on the x-axis
I apologise if my explanation is not clear!
fossil thorn
tysmm!! it makes much more sense now!
crisp lodge
That's great to hear!!
fossil thorn
.close
honest shore
hello,how many Lebesgue non-measurable sets are in R?
cedar kilnBOT
hello,how many Lebesgue non-measurable sets are in R?
red pumice
i would guess infinitely many
cedar kilnBOT
@honest shore Has your question been resolved?
honest shore
In general?
cedar kilnBOT
@honest shore Has your question been resolved?
dense socket
Still infinite imo
cedar kilnBOT
@honest shore Has your question been resolved?
crimson delta
there are uncountably many vitali sets
just pick one vitali set, take one element of it and take a different representant of its equivalence class
(and obviously vitali sets have uncountably many elements)
cedar kilnBOT
long arrow
is this reccurence relation or? no wider context?
what's t_n
I mean what's t1 and t2, what's the point of calculating them?
is kind of method?
can't you just solve f(x) = 21?
sin(pi/12(x-10)) = 3/8
from here:
pi/12(x-10) = arcsin(3/8) + 2pin or pi/12(x-10) = pi - arcsin(3/8) + 2pin
now you can get your solutions plugging different n's
cedar kilnBOT
cedar kilnBOT
Available help channel!
bright sorrel
cedar kilnBOT
bright sorrel
Help pls
cosmic steppe
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
And which questions
bright sorrel
All
cosmic steppe
,rotate
bright sorrel
wraith daggerBOT
bright sorrel
Yeah and added it by 3
cosmic steppe
You can't add 3
bright sorrel
Oh
cosmic steppe
You then have to divide by 3 because 3 is the coefficient of x
bright sorrel
Idk how to do this
bright sorrel
cosmic steppe
90-39 = 51
upbeat lotus
Then
cosmic steppe
So 3x = 51
cosmic steppe
You then have to divide by 3 because 3 is the coefficient of x
_ _
I already told you how to do it
upbeat lotus
We already told you about than
You're right till now
Then
πͺπͺπͺπͺπͺπͺπͺ
upbeat lotus
Divide it by 3
upbeat lotus
Yes very good
upbeat lotus
Vertically opposite angles
cosmic steppe
A linear pair add up to 180Β°
upbeat lotus
All angles in a straight line adds up to 180Β°
bright sorrel
Oh
upbeat lotus
Yupp
bright sorrel
Oh my bad
wraith daggerBOT
The current time for ππ‘πππ πππ is 01:39 AM (IST) on Mon, 06/03/2023.
bright sorrel
Then 8+180
upbeat lotus
$8x+8=180$
wraith daggerBOT
Offline due to exams
upbeat lotus
Look the equation closely
bright sorrel
Oh
upbeat lotus
There's only substracting and dividing
upbeat lotus
So shift it to right hand side
bright sorrel
Wdym
bright sorrel
So 8-180
upbeat lotus
That minus sign is important
180-8
πͺ
Don't be broke don't worry you don't have to resist days that I'm resisting
upbeat lotus
Welcome but what did you get
upbeat lotus
Good
upbeat lotus
,w 172/8
wraith daggerBOT
upbeat lotus
Yes
upbeat lotus
Good
upbeat lotus
Did u add me back
Where
upbeat lotus
I already added in you my friend list
upbeat lotus
,ti
wraith daggerBOT
The current time for ππ‘πππ πππ is 01:48 AM (IST) on Mon, 06/03/2023.
upbeat lotus
1:48 am here
bright sorrel
Oops
upbeat lotus
Vertically opposite angles
bright sorrel
Yeah
upbeat lotus
Two angles are equal
bright sorrel
Idk
upbeat lotus
Just 3x+1=112
upbeat lotus
Yes
bright sorrel
Then divide the answer by 3
upbeat lotus
Yes
bright sorrel
I got 37
upbeat lotus
,w 111/3
wraith daggerBOT
