i’m not sure at all how to start or even what i’m determining!!
#help-13
native heath
hold on lemem see
Okay this is interesting lmao
uhh do you have an answer key?
1a might be (-inf, inf)
the second part is def more interesting
okay i believe i have to get my hands a little dirty here
is it (0,1) 😭
im probably doing something wrong here sigh
azure citrus
yes the domain for 1a is (-inf to inf)
but apparently i have to be able to prove it :zcc
wet fossil
is it (0,1) 😭
[0,1), 0 is also common in all intervals
native heath
[0,1), 0 is also common in all intervals
squints his eyes
are we sure about that
im not sigh
@azure citrus what's the answer sigh
royal finch
The upperbound is a non-zero natural and the lower bound is its negative reciprocal, of course 0 is in there.
native heath
yeah is zero included though?
azure citrus
but the lower bound is interesting when r is small
royal finch
If you're not convinced you can prove it using an intermediate value theorem argument. x is a continuous function and -1/r and r are far enough away from zero that you can construct an compact interval.
native heath
but apparently i have to be able to prove it :zcc
you could just try it graphically
like draw a few intervals and extrapolate
azure citrus
hmm
cinder venture
A particle is projected on a straight line from the point O with an initial velocity of
25m/s. Its acceleration after t(s) is given as (6t2 – 4t) m/s. Find the velocity and distance
from O after 3s.
copper talon
not sure about " v=∫a dt " but the rest is correct
cinder venture
Isn’t the antiderivative of acceleration velocity?
Second part I got 97.5
Good?
copper talon
Isn’t the antiderivative of acceleration velocity?
ok yeah that's correct i just checked
cinder venture
ok yeah that's correct i just checked
What about the distance bit?
copper talon
What about the distance bit?
can you show how you got it?
copper talon
<@476384926606950401>
i don't know how to help you sorry
didn't study most of these yet
ashen field
I used Kuratowskis theorem to prove it’s non planar by finding k3,3 as a subgraph but I’m not sure how I would prove part c
solemn harbor
I used Kuratowskis theorem to prove it’s non planar by finding k3,3 as a subgrap...
can’t help u but can i ask a few questions
ashen field
yes sure
ashen field
graph theory and it’s A level further maths which is just before university in the uk
solemn harbor
graph theory and it’s A level further maths which is just before university in t...
ah oki interesting
cedar kilnBOT
@ashen field Has your question been resolved?
ashen field
I can see that if we choose any 3 adjacent vertices we won’t be able to choose another one that’s connected to all 3 but I’m not sure how to put it down in a way that’ll lead to a proof
because i’m thinking if the subgraph is isomorphic to K4 it’ll need to have 4 nodes that are all connected
but we can only choose a maximum of 3 nodes that are all connected
<@&286206848099549185>
cedar kilnBOT
@ashen field Has your question been resolved?
wise verge
We want to build a channel that has an isosceles trapezoid as a section in such a way as to widen it the upper part of the channel is twice the lower width and that the non-parallel sides are 8 meters.
Below is a diagram of the channel section.
wise verge
Find the value of the L segment of the graph as a function of the variable x.
<@&286206848099549185>
cedar kilnBOT
@wise verge Has your question been resolved?
cedar kilnBOT
@wise verge Has your question been resolved?
quasi patrol
I don’t get how this is competing the square ?
cedar kilnBOT
I don’t get how this is competing the square ?
quasi patrol
I’m struggling to see how
cedar kilnBOT
@quasi patrol Has your question been resolved?
cedar kilnBOT
flint plinth
do you agree with the last (typeset) line?
ah ok
so you just need to make a few observations:
f and g are positive
so f(x) > 0and g(x) > 0
f and g are increasing
so what does that tell you about f'(x) and g'(x)
no..
increasing doesn't imply concave
what can you say about the first derivative of an increasing function?
numerically what you can you say
if a function is increasing, can its derivative be negative?
ok
so f'(x) and g'(x) are both >= 0
finally, you also have that f and g are concave upward
which tells you something about f''(x) and g''(x)
(assuming they have second derivatives)
right
so what can you conclude about your last expression (the typeset expression)
pseudo grove
for (x+a)(x+b), where a and b are any number,
is it possible that one of the roots could possibly not be a solution?
digital cliff
solution to what
digital cliff
so (x+a)(x+b)=0?
pseudo grove
yes
is it possible if i found the roots
a and b, one of them could not be a solution
or would they always be a solution
digital cliff
if you were able to factorise into that form, then x=-a and x=-b must be solutions
orchid widget
For linear algebra, if a vector space is 1 dimensional, does that mean that it only consist of one vector?
silver parcel
no, it's span(one non 0 vector)
for example, R is a R vector space of dim 1
which can be written as span{1}
a vector space that consists of only one vector is {null vector} by def of vector space
and would be of dim 0
intuitively, a vector is a point, and a 1 dimensional space can be visualised as a line
a 2 dimension as a plane
etc
buoyant mirage
My brother is doing a problem that requires him to solve an equation for x by distributing the wrong way. Any idea how you would get x=-19/20 from
"-24 - (4x - 6) = -2(-8x-11)"
cedar kilnBOT
My brother is doing a problem that requires him to solve an equation for x by di...
@buoyant mirage Has your question been resolved?
buoyant mirage
<@&286206848099549185>
buoyant mirage
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quaint scarab
How can I use the limit comparison test with this?
cedar kilnBOT
How can I use the limit comparison test with this?
solid juniper
some intuition here is that sin(1/n) and 1/n are very close in value when n is large
so that should suggest something to use for comparison
cedar kilnBOT
quaint scarab
.reopen
cedar kilnBOT
✅
solid juniper
yes the series diverges
quaint scarab
why? it seems to go to 0...
solid juniper
it's very similar to $\sum_{n=1}^\infty \frac{1}{n}$
wraith daggerBOT
layla
solid juniper
why? it seems to go to 0...
what does?
quaint scarab
hm. must just be getting my limits and such mixed up. series are hard....
solid juniper
true
rotund stream
2x + x
3 4
cedar kilnBOT
2x + x
3 4
rotund stream
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real burrow
need some help with these 2
cedar kilnBOT
need some help with these 2
cosmic steppe
Do you know the definition of a function
real burrow
kinda
real burrow
for a function or the problem
crimson sedge
the defintion of function - whats the general meaning?
real burrow
an expression that has 1 or more variables?
crimson sedge
apply that to what is given to you
grand crystal
So basically one x can only have one y value corresponding to it
real burrow
well all i got is that 2,3, and 4 are x and y is 5
real burrow
yeah
crimson sedge
yep
cedar kilnBOT
grand crystal
welcome
cedar kilnBOT
Available help channel!
inner ruin
cedar kilnBOT
inner ruin
Is this correct?
crimson sedge
,rccw
wraith daggerBOT
cedar kilnBOT
@inner ruin Has your question been resolved?
inner ruin
It is the congruency symbol
cedar kilnBOT
@inner ruin Has your question been resolved?
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@inner ruin Has your question been resolved?
fickle imp
how do I solve this integral?
cedar kilnBOT
how do I solve this integral?
fickle imp
.close
real burrow
need some help with this one:
since its h of f with 1 i believe I just put 1 into the other functions and multiply them but since the "of" symbol is there I am not sure what to do
tropic oxide
this is function composition
spice kraken
you don't multiply function composition
tropic oxide
$(h \circ f)(1)$ means $h(f(1))$
wraith daggerBOT
Ann
tropic oxide
it does not mean $h(1) \cdot f(1)$
wraith daggerBOT
Ann
real burrow
gotcha
i think
so it would be that i plug in the 1 for f
and then i put that equation i get out of it into h
right?
tropic oxide
misuse of the word "equation", also you'd get a number
tropic oxide
yes f(1) = -3
tropic oxide
missing parentheses for the square root again, but i guess yes?
or maybe
you're expected to not yet know about complex numbers and so this should just be "undefined"
real burrow
so in total
i get 1
and put it in the equation of f where x is
then get the answer from that equation which is a singular number (-3)
then put -3 into h where x is
then get answer
tropic oxide
this wording is extremely clunky, but yes.
real burrow
gotcha
so how would undefined as answer go like
as in how do i show my work to get undefined if there is already an answer
which was sqrt 8
crimson sedge
crimson sedge
Yes.
real burrow
thanks
also
i got a couple more things that are very similar
if thats ok with you daniel
or ann
crimson sedge
No problem, ¿how can I help you?
real burrow
and thats it
and im done with EVERTHING
and 24-26 is using the pics from above
this one
crimson sedge
Give me a second, I'll turn on the laptop, I'm on my cell phone and I have a good brain but terrible eyesight.
real burrow
gotcha
crimson sedge
this one
These are pretty easy. What do you need help with? Find domain, range or what?
real burrow
in 24 to 26 i need to state the domain and interval notation
and for 27 i need to write 2 functions f and g that h(x)=(f of g)(x)
all in the pics above
crimson sedge
in 24 to 26 i need to state the domain and interval notation
This is the answer of 23. At x=3 the function would be undefined because it would be in 1/0 form. Otherwise at any value of x it's defined.
The domain is R - {3}
You could write it as (-∞, 3) U (3, ∞)
real burrow
wasn't expecting a full answer, but thank you. But if you could walk me through the rest at least so I know how to do it exactly that would be amazing
crimson sedge
- (g/f) (x)
g(x) = 1/(x-3)
f(x) = (x-4)
g/f = (1/(x-3))/(x-4))
g/f = 1/ (x-4) (x-3)
Here at x = 4, 3 the function would be undefined. So the domain is R - {3, 4}
crimson sedge
This is sufficient
crimson sedge
In this g(h(x) there lies an discontinuity at x = 14. Remove that
crimson sedge
ill get this one down and then i can finally do 27
Pete the 3rd one is incorrect
real burrow
ok
crimson sedge
real burrow
wait is this one 26 or 27?
crimson sedge
3
crimson sedge
......
real burrow
oh
real burrow
wait so this one is 26
real burrow
and this is 27
crimson sedge
24, 25, 26
crimson sedge
27
real burrow
but didnt the other guy say that the third one was incorrect in that picture?
crimson sedge
The correction of the 26 answer.
crimson sedge
It's after dawn in my country, I guess sleep is playing tricks on me. Sorry for the mistake.
real burrow
thank you anyway
very much
for your amazing math skills
its 11:33 here
pm
.close
native shuttle
cedar kilnBOT
native shuttle
how could i do the problem on the left
cedar kilnBOT
@native shuttle Has your question been resolved?
native shuttle
.close
civic eagle
what subspace is Nul A a part of? R^4?
cedar kilnBOT
what subspace is Nul A a part of? R^4?
tropic oxide
you did not actually need to do any of these calculations!!!
you were not asked for the nullspace itself but rather what R^p it lives in
and it should be plain as day that Nul(A) ⊆ R^4 without even doing any calculations, bc A is a 3 by 4 matrix.
cedar kilnBOT
cedar kilnBOT
Available help channel!
feral citrus
cedar kilnBOT
feral citrus
A quadratic equation is any equation of the form: y=ax2+bx+c
, where a
, b
, and c
are integers. The solutions to a quadratic equation are values that when substituted into the quadratic equation, yield a true statement.
One method for solving a quadratic equation is by factoring the equation and setting each of the factors equal to 0. Not all quadratic equations can be solved by factoring, and in such cases, it is necessary to use the quadratic formula to find the factors.
To simplify the quadratic equation given, two factors that multiply to 15 and add to 8 are necessary. The only valid pair of factors is 3 and 5. The equation can then be rewritten as:
(x+3)(x+5)=0
Recall that if ab=0
, then either a=0
, or b=0
. So, the values of x
can be found by setting each parenthesis equal to 0
and solving for x
:
(x+3)=0
or
(x+5)=0
x=−3
or
x=−5
explain this
x2+8x+15=0
!help
cedar kilnBOT
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
elfin otter
What do you not understand?
silver gust
hi
feral citrus
theres the answer and solution but i cant understand it
the questions is x2+8x+15=0
and the options are
idk how to get the answer
elfin otter
Do you know how to factorise the equation?
elfin otter
maybe i fo but idk what things are called
Sth like this
onyx dove
completing the square if you're good at it
feral citrus
Sth like this
i see no i dont
elfin otter
completing the square if you're good at it
What abt this?
Familiar?
@feral citrus
feral citrus
What abt this?
Familiar?
<@752931493503959102>
ye i smeone what get it
so like the
4 x 2 is 8
and
3 x 1 is 3
then u cross multiply
fast relic
No
elfin otter
Sth like this
U talking abt this?
feral citrus
U talking abt this?
ye
fast relic
You have to find multiples of the c term
feral citrus
icic
elfin otter
U break down the A and C term
Then it's all trial and error when cross multiplying
feral citrus
to match the b right
elfin otter
Yes
elfin otter
In the end, it must satisfy A B C terms
onyx dove
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feral citrus
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cedar kilnBOT
cedar kilnBOT
Available help channel!
fervent merlin
cedar kilnBOT
frank idol
Help please
cedar kilnBOT
Help please
hot rampart
cedar kilnBOT
@frank idol Has your question been resolved?
frank idol
<@&286206848099549185>
cedar kilnBOT
@frank idol Has your question been resolved?
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@frank idol Has your question been resolved?
keen nova
can anyone understand what was done from step 2 to 3?
cedar kilnBOT
can anyone understand what was done from step 2 to 3?
livid hound
are you referring to
wary hamlet
crimson sedge
cedar kilnBOT
crimson sedge
!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
granite knoll
If x < 10, what can you say about x - 10
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
Sorry i was busy
Yeah i figured it out
x - 10 = -b
x = 10 - b
b - x = b - 10 + b = 2b - 10
It's correct right?
granite knoll
no
crimson sedge
???
granite knoll
sry let me double-check, I mis-read
crimson sedge
We found x then subtracted from b
muted timber
b - x = b - 10 + b = 2b - 10
this line is not correct
muted timber
that line is still not correct
muted timber
if you had, it would be correct.
It isnt, so you havent
muted timber
x - 10 = b
x = 10 - b
you should very easily realize that this is not correct, since it's not one of the valid options and the actual answer is one of them
crimson sedge
So to find b - x it the same as
b - (10 - b)
crimson sedge
you should very easily realize that this is not correct, since it's not one of t...
It's looking for b - x💀
Not x
muted timber
i am aware
granite knoll
I think your edit above is correct
crimson sedge
So to find b - x it the same as
b - (10 - b)
b - 10 + b
2b - 10
Are yall high
It's fucking correct
granite knoll
don't be rude, what you had first written before the edit was not correct
crimson sedge
C is the correct option
smoky harness
in MCQs will it be better to put some values and see the relations? it will save some time in exam?
crimson sedge
don't be rude, what you had first written before the edit was not correct
Yeah it was a typo mesnt to write = instead of >
granite knoll
if x < 10, then x - 10 < 0, so |x - 10| = 10 - x = b. Rewrite as -x = b - 10 --> b - x = 2b - 10
crimson sedge
Yeah exactly
crimson sedge
you should very easily realize that this is not correct, since it's not one of t...
Are you blind because it clearly is
.close
keen basin
is the least squares regression line of Y on X the same as the least squares regression line of X on Y?
cedar kilnBOT
is the least squares regression line of Y on X the same as the least squares reg...
@keen basin Has your question been resolved?
keen basin
<@&286206848099549185>
cedar kilnBOT
@keen basin Has your question been resolved?
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@keen basin Has your question been resolved?
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.close
cedar kilnBOT
cedar kilnBOT
dire geode
hundreds of people get help everyday
crimson sedge
hundreds of people get help everyday
Yup. Wish I found one of those hundred people like I found yesterday.
dire geode
Yup. Wish I found one of those hundred people like I found yesterday.
you got help. you just didn't want to do the work
crimson sedge
you got help. you just didn't want to do the work
That's not help. Humble yourself dude.
dire geode
That's not help. Humble yourself dude.
plotting is a good start that you were too proud to do
or lazy idk
dire geode
take your grievances elsewhere. help channels are for math problems
anyway
crimson sedge
plotting is a good start that you were too proud to do
There's an easy approach there than plotting that too itn variable since it wouldn't help at all
dire geode
i help plenty of people who want to do work
crimson sedge
i help plenty of people who want to do work
yup tell them to put values n=1
Did someone ping me here?
cedar kilnBOT
Available help channel!
cold briar
How many ways can you order n identical balls in a circle with n + m places?
My original answer was: (n + m)!/n!m!(n+m)
The number of arrangements of n + m distinct objects in a circle will be (n + m)! / n+m
And there are n identical balls and m identical empty spots.
So... I divide by n! and m!
thus
(n + m)! / n! m! (n + m)
cold briar
But,
muted bear
this is only true when n and m are coprime
cold briar
Yeah, but why?
muted bear
the dividing factor of n+m assumes that each rotation is unique
muted bear
for example, if you have 7 spots,
X O X O O X O will cycle through all 7 spots and create a unique arrangement
in this case, you have 4 balls
the number of ways to arrange them is (7C4)
if you have 6 spots and 4 balls, you will hit the same arrangement after half a cycle for some arrangements
like O X O O X O
cold briar
Wait I thought of something...
nvm
What if I...
So there are n identical balls and m identical empty spots.
put 1 ball in between the empty spots
(m - 1)C1
put 2 ball in between the empty spots
(m - 1)C2 + (m - 1)C1
put 3 ball in between the empty spots
(m - 1)C3 + (m - 1)C2 + (m - 1)C1
...
put n ball in between the empty spots
(m - 1)Cn + (m - 1)C(n-1) + (m - 1)C(n-2) ... + (m - 1)C1
But... only works when m - 1 >= n
...
and idk how to write sums
ima just sleep
.close
cedar kilnBOT
cold briar
i can just do it the other way around if n - 1 >= m
but for n = m idk
i go sleep
brrrr
and i think i wrong
i
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Available help channel!
crimson sedge
How to find LCM(24823,26854,21452)
My approach was trying to find LCM(24823,26854) then find the LCM of the number i got with 21452 but my calculator said math error so i got into a dead end xD
fickle trellis
Umm... they are big numbers...
crimson sedge
Please help in the question 3 and
fickle trellis
Please help in the question 3 and
huh?
crimson sedge
Umm... they are big numbers...
i dont know but my teacher said it doable by calculator so i gotta figure out how now 
I tried to do prime factorisation but the sol i got is too big
24823 is 103x241
26854 is 2x29x463
21452 is 2^2x3x173
so LCM should be 2^2x3x29x103x173x241x463 but the answer is too big
fair geyser
it's too small actually
that 3 should be 31
i'm not sure how i would do it with a calculator 🤔
crimson sedge
oh ye it 31, i forgot to add a 1, still numbers too big for the display 😔
fair geyser
how did you even do prime factorization
crimson sedge
there a button on calc for that
I just realized the sol itself is too big for the calculator to display .,.
welp ty , ima ask my teacher about this tmr
.close
narrow junco
cedar kilnBOT
desert cedar
The equation or the graph
desert cedar
The equation you wrote is right, but usually when writing graphing equations, y is on the left side.
Y = 25(x) + 100
desert cedar
Your x axis is your independent and your y is your dependent. When solving a problem like this, think about “what variable cannot change no matter what?”
That’s your X axis
narrow junco
25 pounds per week
desert cedar
You can’t change time, days , or weeks but you can change money, pounds etc
narrow junco
Weeks
desert cedar
Your y axis units are good, and so is your x axis
I personally would’ve spaced them differently since you have so much space but I don’t think the teacher would take odd points just for that
narrow junco
Ok
desert cedar
Do u need help with a?
narrow junco
Yes
desert cedar
The y intercept is when x is zero. So during week zero,how many pounds of aluminum cans does he have
narrow junco
100
desert cedar
Your slope in any graph represents the change over your independent variable.
So what happens as time passes, in your case, as weeks passes
narrow junco
So the slope represents his plans to collect additional 24 pounds per week
desert cedar
Perfect.
narrow junco
25
narrow junco
Yes
desert cedar
Ok so let’s re write the equation as
Y = 25 x + 100
narrow junco
Ok
desert cedar
What does y represent on the graph and in the equation
desert cedar
Yup. So we need to find when y equals 800.
On your paper you put 400 in for x. X is your time. So you calculated how many cans he would get in 400 weeks lol
narrow junco
Oh
desert cedar
Since your graph is small, you could draw your graph and when y equals 800, what your x coordinate is is the answer, but as you go on in school they want you to find x in the equation
narrow junco
Oh no
desert cedar
Yup
narrow junco
Ok thank you
desert cedar
Np
narrow junco
.close
cedar kilnBOT
cedar kilnBOT
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pale badger
cedar kilnBOT
pale badger
the first part is obviously fine but idk abt the last bit
cedar kilnBOT
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@pale badger Has your question been resolved?
pliant juniper
cedar kilnBOT
pliant juniper
I think the equation is wrong but I want to check with you all.
If I plug in the given values into the equation:
Rate = 1
N = 36
It doesn't give the values that I'm supposed to get.
untold onyx
cedar kilnBOT
@untold onyx Has your question been resolved?
dire geode
why do you keep opening help channels
grand forge
dire geode
<@&268886789983436800>
celest seal
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warped marsh
can someone help me understand this rq
cedar kilnBOT
can someone help me understand this rq
warped marsh
i know that if a point has a veritcal tangent line then it isnt differentiable but how come the answer is telling me that x=2 is differentiable?
how is f(x) differentiable at x=2 if there is a vertical tangent line at x=2
zenith sail
The tangent at x=2 is horizontal, not vertical
warped marsh
it says it has a vertical and horizontal tangent at x=2
zenith sail
Oh what, I didn't notice the sentence at the bottom.
The wording is awkward
It does have a vertical tangent somewhere
And it does have a horizontal tangent at x=2
warped marsh
do you think the answer is a mistake
zenith sail
No, look at the graph
It didnt mean it has both a horizontal and vertical tangent at x=2
The way they phrased the sentence was just weird
There are vertical tangents, but not at 2
warped marsh
so they forgot to put something after the vertical tangent part
zenith sail
I guess
Or they're just saying
There are vertical tangents, period.
And also
A horizontal tangent at x=2
cedar kilnBOT
zenith sail
so they forgot to put something after the vertical tangent part
They did forget to put something after the vertical tangent part actually. It says "there's a vertical tangent at" and then nothing
cedar kilnBOT
Available help channel!
prisma gull
Help with proving every convergent sequence is a cauchy sequence
prisma gull
Give me a hint?
dire geode
Do two epsilons
cedar kilnBOT
@prisma gull Has your question been resolved?
prisma gull
Do two epsilons
as in e1, e2?
dire geode
Yes
long veldt
i’m not sure if i did this right im getting a different answer when I put into a derivative calculator
cedar kilnBOT
i’m not sure if i did this right im getting a different answer when I put into a...
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wanton mountain
i’m not sure if i did this right im getting a different answer when I put into a...
could u take a better picture
wanton mountain
yes
wanton mountain
@long veldt what are u gettin on derivative calculator?
nocturne nexus
😭 why is this wrong
cedar kilnBOT
😭 why is this wrong
cedar kilnBOT
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cedar kilnBOT
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frozen cloud
a, b, c, d ∈ {0,1,2,3,4,5,6,7,8,9}
a! +b! +c!=d!What is the sum of a+b+c+d?
celest abyss
.open
cedar kilnBOT
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tawny drum
5x+7x=180 What is the value of x?
!occupied
cedar kilnBOT
5x+7x=180 What is the value of x?
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slender geyser
perimeter of a polygon = 158cm. The measures of their sides creates an arithmetic progression with common difference d = 3cm. Knowing the largest side = 44cm. How many sides of the polygon are there?
slender geyser
so I tried to analyse the problem and got
P of the Polygon = Sn of the AP
d = 3cm
the
44 = a1 + (n-1).3
Idk what to do next
slender geyser
Yea
crimson sedge
Mb
Solve those two equations and get the value of n
We get 44=a+3n-3, so a= 3-3n+44, so u substitute this in sn formula
316=2(44+3-3n)n +3n^2-3n
@slender geyser
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slender geyser
We get 44=a+3n-3, so a= 3-3n+44, so u substitute this in sn formula
Ohhh ty
.close
obtuse pelican
cedar kilnBOT
obtuse pelican
im trying to understand the standard deviation equation
so if the top part is to get the sum of values of the difference between values from the mean, and it has to be squared so that the negative wont cancel out with the positive
then why isnt n squared as well
cedar kilnBOT
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clever cedar
Hello sorry if this is a dumb question, but how can you simplify this
clever cedar
the solution in my book says this is the solution but i have no idea how to do that
tropic oxide
!occupied
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summer nova
@clever cedar that solution doesn't look correct
clever cedar
<@741954530459254804> that solution doesn't look correct
yea im also starting to think its a mistake, it wouldnt be the first time the book was wrong
summer nova
what level of math is this?
summer nova
yea im also starting to think its a mistake, it wouldnt be the first time the bo...
what are the x boundaries in the sol.
clever cedar
what level of math is this?
2nd year of high school
summer nova
@clever cedar Yea im stumped, maybe someone else (smarter) can help, sorry!
wraith daggerBOT
summer nova
oh yea, didn't know of that propety tbh, makes question very simple
clever cedar
oh yea, didn't know of that propety tbh, makes question very simple
yea me neither, i just learned that the formula exista
summer nova
ah also lol you can do it like this $\sqrt{x+y+2*\sqrt{x-y}*\sqrt{x+y}+x-y$ which gives $\sqrt{(\sqrt{x+y}+\sqrt{x-y})^{2}}$
wraith daggerBOT
lolk
Compile Error! Click the 
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(You may edit your message to recompile.)
clever cedar
This channel can be closed now
neat dune
This channel can be closed now
write .close
Also tho if u wanna know how to do this w/o knowing the formula
Say $u = \sqrt{expression}$
wraith daggerBOT
992qqoloy
neat dune
Then $u^2 = expression$
wraith daggerBOT
992qqoloy
clever cedar
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willow seal
What is math?
cedar kilnBOT
What is math?
crimson delta
what kind of answer do you want
willow seal
Simple definition
crimson delta
good luck with that
cerulean harness
What is math?
let math = x
so math is x
Real ( Idk math ) 
cedar kilnBOT
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crimson sedge
cedar kilnBOT
crimson sedge
How do I solve these type of questions?
translation: Find a linear ODE with solutions ...
glacial crane
How can I get to the possibility for 1,2 and 3 right answers?thx for any help!
A test consists of four questions. There are three possible answers for each question. Exactly one answer is correct. A candidate who has not learned anything randomly checks one answer. The random variable A indicates the number of correctly checked answers. a) What values can the random variable A take? b) Calculate the values of the probability distribution and represent them using a dot diagram
crimson delta
How do I solve these type of questions?
calculate the first couple of derivatives, see if you notice something
there isnt a general process (I think), the point here is to notice something
crimson sedge
calculate the first couple of derivatives, see if you notice something
derivative of what?
crimson delta
of the four functions
crimson sedge
alr I try
crimson delta
well actually for functions of the form e^(lambda x) there is a general process. think about when you use those functions to solve an ODE
glacial crane
How can I get to the possibility for 1,2 and 3 right answers?thx for any help!
...
<@&286206848099549185>
cedar kilnBOT
<@&286206848099549185>
white wadi
translation:
roughly sketch the graph of y
i dont get it
what are they saying here
like
how do they know x^3 is where it is
and why is it there and all
cedar kilnBOT
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cedar kilnBOT
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@glacial crane Has your question been resolved?
elfin otter
and why is it there and all
It's just an estimate of the parent function, which is $y=x^3$
wraith daggerBOT
Kai Funaba
elfin otter
why do they specifically start drawing it at that one point
U can draw it anywhere on the 1st & 3rd quadrant ngl, but don't make it too absurd ofc
In a nut shell, it doesn't hv to be specific
⬇️ (if u want to feel better)
||Since it's on a book it can't explain itself, and writing what I wrote above in the book wld just be deemed 'redundant' ||
cedar kilnBOT
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willow seal
let math = x
so math is x
Real ( Idk math ) <:bleakkekw:913344117981999125>
Omg 😂😳😂
cedar kilnBOT
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median hedge
Hey so I need a mathmatical formula where the higher 'X' is the lower the constant value is
median hedge
For example
Lets say the constant is 25, if X = 5 then 25 can equal 20 (doesnt have to be exactly that just so long as its smaller than the constant)
and if X is 25 then 25 can equal 10
Something like that
I tried doing something like |25 * (15*(-.025))|
that doesnt really work though
fallen moat
is it like y=k/x something like that?
median hedge
Something like that but it cant be lower than 1 so I assume id just make k a larger number?
So for example if I did y = 550/1
1 being X and Y being the constant of 25
550/25 would be 22 which is fine but 550/1 obv is 550 which is too high of a starting number
So my starting number would be 25
That probably doesnt make sense so heres a table
I dont care about the numbers between 25 and 10 they can be whatever so long as they decrease
I need a formula where if I put in 1 for X I get 25 and if I put in 50 for X I get 10
actually nevermind I think this would work
.close
cedar kilnBOT
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scarlet prism
cedar kilnBOT
scarlet prism
when i factored by grouping
i have 4x^2(2x+1)-1(2x+1)
what do i do from there now
zinc mist
how would you factor pq+rq?
scarlet prism
wdym
zinc mist
2x+1(4x^2-1)
ayo youre not sposed to tell the answers straight away
let the one who asked work for it, mate
scarlet prism
that isnt the answer tho
devout nexus
let the one who asked work for it, mate
soory
zinc mist
allg
devout nexus
scarlet prism
its (2x-1)(2x+1)^2
zinc mist
its (2x-1)(2x+1)^2
yup
scarlet prism
yea but idk how to get there
zinc mist
okay so did you get till (2x-1)(4x^2-1)?
scarlet prism
i got 4x^2(2x+1)-1(2x+1)
zinc mist
alright so lets say you have an expression
px+qx, how would you factorise it?
scarlet prism
x^2(p+q)?
scarlet prism
its not factorable
zinc mist
it is
zinc mist
or u cud say the reverse that
ab+ac can be redistributed to a(b+c)
zinc mist
if you were to apply this to what i asked
yes good
so now in your expression
4x^2(2x+1)-1(2x+1)
scarlet prism
yes
zinc mist
can you reapply the same thing
if tp+tr= t(p+r)
then can you identify what works as 't', 'p' and 'r' in
4x^2(2x-1) -1(2x-1)
zinc mist
yes exactly
scarlet prism
and then u can break 4x^2-1
scarlet prism
to 2x+1 and 2x-1
zinc mist
and there you have your answer
zinc mist
ye :>
zinc mist
np
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lunar radish
maximum possible value of xy where
(12x + 1)(12y + 1)=24193
cedar kilnBOT
maximum possible value of xy where
(12x + 1)(12y + 1)=24193
@lunar radish Has your question been resolved?
lunar radish
<@&286206848099549185>
lunar radish
Do you have the answer?
no
the original equation was x^2 + y^2 + 12xy = 2016
after dividing by 12 i used simon's bla bla bla
(x+1/12)(y+ 1/12)=168 + 1/444
multiplied both sides by 144
(12x+1)(12y+1)=24193
and here we are
lunar radish
this is why it was impossible
oh so i did it wrong?
long arrow
x^2 + y^2 + 12xy = 2016
x^2 - 2xy + y^2 + 14xy = 2016
(x - y)^2 + 14xy = 2016
from here
xy = (2016 - (x - y)^2) / 14
= 144 - (x-y)^2/14
now notice that it's enough to minimize (x-y)^2 because (x-y)^2 >= 0
lunar radish
= 144 - (x-y)^2/14
how did you get this
long arrow
2016/14 = 144
lunar radish
so why's the other denominator 12
cedar kilnBOT
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ripe coyote
Hello!
I’m looking for someone to look over the work I have so far and make sure it’s correct, then help me solve the remaining three parts of the problem.
Here are the photos;
cedar kilnBOT
Hello!
I’m looking for someone to look over the work I have so far and make sure...
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limpid sigil
Hello!
I’m looking for someone to look over the work I have so far and make sure...
In the previous question, part b, what variables were required to find the distance between the house and the tower?
So far the workings out have been very clear and easy to revise from!
crimson sedge
Did I get these right?
cedar kilnBOT
Did I get these right?
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
yes its right
And why does 2 work
crimson sedge
<@&286206848099549185>
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crimson sedge
<@&286206848099549185>
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crimson sedge
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crimson sedge
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oblique prawn
A triangle has sides of length cos(20 degrees), cos(30 degrees), cos(40 degrees). What is the degree measure of its largest angle?
oblique prawn
why is it not 50
livid hound
how are you getting 50
oblique prawn
how are you getting 50
i used law of cosine
livid hound
show work
livid hound
,rotate
wraith daggerBOT
livid hound
cos(20°) is the longest side
the largest angle will be opposite that
oblique prawn
cos(20°) is the longest side
the largest angle will be opposite that
wait isnt it cos(40)
distant kite
Any ideas how to proof?
cedar kilnBOT
Any ideas how to proof?
distant kite
<@&286206848099549185>
zinc crown
@distant kite You need to use the Rational Zeros Theorem
zinc crown
What can you say about the zeros of ax^2 + bx + c?
distant kite
I don't really know about Rational Zeros Theorem
I know how to use but idk what it says
I just know the theorem can solve cubic or higher power equation
zinc crown
Ok. Basically, if the polynomial has rational zeros, it tells you the possible values for them
And the possible values are c' / a' , where c' is a factor of c, and where a' is a factor of a
distant kite
rational zeros means equal to zero?
zinc crown
Do you know what is a rational number?
distant kite
yes
zinc crown
What is it?