#help-17
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okay
never really used this formula so im learning as much as you are hahaha
yeah thats good to hear at least
plus yours was new to me as well
anyway thank you for your help
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it’s so easy but i don’t know how im getting it wrong and im doing the right steps
idk where i’m going wrong
Well if you don’t show those right steps we can’t know either
@astral sparrow Has your question been resolved?
those are literally the steps
that’s the question
find the probability
the first step is so make a venndiagram which gives u the answer
but when i make the venndiagram and extract the integers to get the probability, its somehow wrong
help
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Need help determining the net change and average rate of change in this function.
f(t)=4t^2, t=5, t=5+h
I'm stuck with
(100 + 20h + 4h^2+ 100)/h
But this doesn't seem right?
And I'm not sure how that would even translate to net change or av roc
!original
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
sorry!
having a hard time with any of these net change or rate of change equations that aren't "solvable"
The net change between 5, and 5+h will be |f(5+h)-f(5)|
The net change will be the difference in the values of the function at those 2 points
I thought it would want the net change to not be sign dependent, so added absolute values
I tried without as well
Do you have a definition of net change in your notes or book somewhere?
Can you show your work
Why the division?
It was the formula that the guidance in the assignment utilized
I’m confused, do you think this is you doing what I suggested above?
Like I said it's what the assignment offered up as guidance when I did another practice problem
Have you tried what I suggested above though?
Can I see that work
this is the guidance
I did not know how you got that answer
This is for average rate of change?? You’re trying to find the net change? And those are different things…
I explained how already
yeah but i do need both. I tried your answer for net change and it did not work, and I am unsure how you got it
ohhh my bad
You have to evaluate the function
apologies
Unsure of what?
What
??
Do you know how functions work
f(t)=4t^2
So f(5)
You plug in t=5
It’s 4(5)^2
Then what is this?
Okay so instead of just saying that, work it out properly
Of course you’ll be left with an answer in terms of h
i didn't know how the formula you gave me worked so i tried
That doesn’t make it wrong
yeah i'm not sure how to work it out properly past that point
Good
i didn't realize that it could be in terms of h for a net change
Since the input is in terms of h
It will of course depend on h
Think about
What if h was 0?
yes this makes sense
Then you’re taking the net change between two of the same points
and it would be 0 then
But if h=100
Then the net change will be big
So it depends on h
I’d follow your example you showed me earlier now
And be careful with your algebra
Then post your work if you get it wrong, and someone can check
okie dokie
thanks
okay i tried and i failed
NVM I got it
this channel is good
idk how to close it
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b>2. describe how you would determine ab > 2a
Do you understand why it's true?
Also it's only for positive a
No idea why they didn't mention that
yeah if b>2 it’s always gonna be greater than when ur multiplying by positive a
because ab is gonna be greater than just b so it’s gonna be greater than 2
maybe rephrase that
That isn't related
and ab > b is not necessarily true
If a = 1/2 for example, then ab < b
You have a number bigger than 2, b
You multiply b by a, and you multiply 2 by a
which one is gonna be bigger if a is positive?
try to explain which one and why
intuitively
OH ok
thank you
b is greater than 2 so when it is multiplied by a, and if 2 is multiplied by the same amount, then b would still be greater
Not "b would still be greater"
It's not b anymore
say "a * b" would still be bigger than 2a
or something
ok
This is a very poorly written question
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why does finding theta equal zero give me an area of 14?
Ik it’s graded already but I need to study that question for an exam, anyone know what I did wrong?
WITH QUESTION C
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I’m trying to solve “24.”
I’m shocked when my manipulation didn’t get me a value of x at the end.
unfortunately you can't get a value of x
Mickey (without cigarette) is the area of shaded region
Why
because the area is in terms of x
Because these Mickeys stand for the same thing?
???
At the very bottom, I connected these two Mickeys using a equation
that's because those mickeys are created from each other
They both stands for the area of shaded area
if that makes sense
So what I have to do here, is using two different “characteristics of the graph” and finding the relation between them
can't really describe the 'rule' but basically you need to find 2 different equations
systems of equations
kinda
Two different Expression and their relation to each other
if I told you what the area was, you could solve for x
yeah, so
y = 50
and y = x^2, you could solve for x
Exactly, the value of Mickey, that is
I suppose I have no choice but trying manipulate these length measured by x and find a relation between the length and some area.
That feels impossible
Length and area are different things (units)
I see
Then I think I already got the answer, which is denoted as Mickey in the picture I posted.
the answer is wrong tho
11x^2 - 20x is correct
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Hi
So Im trying to learn how to find zeros of a function using a graph and a table
and while I was looking for a video
I came across this
I was wondering if grouping (the method he is teaching) is different from using a graph and a table
grouping is a method used to factor
How should I solve question 2-4
graph the equations
or use a table
??
??
how do i use that
My teacher doesn't teach at all so im very behind
Im trying to learn this on my own
please be patient
well do you know how to graph functions
I think kinda
so input values of x and grpah them
I can do any number?
This algebra video tutorial explains how to graph quadratic functions using a data table in vertex form and in standard form. In addition, it explains how to identify the axis of symmetry, the vertex, any maximum or minimum values as well as the domain and range of the quadratic function.
Access Full-Length Premium Videos: http...
@steel snow
would this video be helpful for me
?
yes
Hi
so i have smht like this
I would just plug in
all of the values I have on the x side
and solve?
What i got
@steel snow Is this corredt
check the y value for x = 0
I dont see anything wrong can you explain?
0^2 + 4(0) -5
@grizzled dome Has your question been resolved?
yes
hmm
that's because the line of symmetry is at x=0
22 seconds · Clipped by CLOV3R · Original video "Graphing Quadratic Functions Using a Data Table | Algebra" by The Organic Chemistry Tutor
you determine the line of symmetry with the formula y = -b/2a
but you don't learn that until later
basically he could only say that because he knew the line was symmetrical at that value
So how am i supposed to solve my equation?
x^2 + 4x - 5
i would use -b/2a to find the line of symmetry
oh wait
he mentions how to solve my
type of equations
in standard form
one sec
yaya
@steel snow
He says 1 and 3 will have same y value
is that correct?
(2,5) is the vertex
Doesnt seem right
How can I trust taht those are the same??
its not the same so wtf
yes
so the parabola is symmetrical to that x value
btw -b/2a is the Line of symmetry not the vertex
I thought thats the x coordinate of the vertex
?
When I plug in -3 into the fucntion I get something different from when I plug in -1
this doesnt make sense
yes
the x coordinate of the vertex
is the line of sy mmetry
you calculated wrong then
what did u get for it
@grizzled dome -8
U got that for -1 too?
-1^2 -4-5 = -8
wtf
wait
no its -5
what tha fuckkkk
okay
shoot
okay cool
that works
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors of the quadratic equation.
There are other methods that can be used to achive this including the AC, Berry, ...
@steel snow
Would that video work to solve questions 5-10
use sum and product
So it would work?
Giovyx
you need to find two numbers that
their sum is b
their product is ac
after you find those numbers (let's call them s and p)
you can factor the equation to $$(x+p)(x+s)$$
make sure to not forget the minus if theres one.
Also, after that, u can put the single brackets equal to 0
and the roots are -p and -s
Giovyx
thats it
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i have a question so in the equations absolute value x+1=1-sqrt2
would x+1 withtout absolute value be equal to sqrt2-1?
can you clarify the equation, is it:
|x + 1| = 1 - sqrt(2)
well the full equation from the beginning is 18(x+1)^2=(3sqrt2*6)^2
how do I solve it?
that would be equivalent to:
sqrt(18)|x+1| = 3sqrt(2)*6
assuming the sqrt is only covering the 2
yea, take square roots of both sides
well, let's see, that would become:
|x + 1| = sqrt(18)sqrt(2)
which you would solve however you usually solve |x + 1| = c
where c is positive
another option, if you don't want to take square roots:
but wait
just multiply out the (x + 1)^2
and rearrange to a quadratic equation and use the quadratic formula
(x+1)(x+1)
right, but now distribute it
and then you'll have 18^2 in front
x^2+2x+1 needs to equal 0?
Ok
so from the beginning 18(x+1)^2=(3sqrt2*6)^2
to
18|x+1|=3sqrt2*6
|x+1|=(sqrt18*6)/18
is it good?
or I did something wrong
wait, where did the sqrt(2) go
and on the left it should have been sqrt(18)|x+1| after taking square roots of 18(x+1)^2
ok
yea in fact all the 18 crap cancels
you can cancel before you even take square roots:
so |x+1|= 6?
18(x+1)^2 = (sqrt(18)*6)^2
18(x+1)^2 = 18*36
(x+1)^2 = 36```
|x+1| = 6 yes
and x=5 or -7
but that means:
x + 1 = 6
or
x +1 = -6
oh
i.e. there are two solutions
so 5 and -7
yep
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is there a faster way to do this than slowly calculating the area of each part
the circular portions can be pieced to fit a complete circle for sazz and tazz
that leaves you with rectangles which only end up being the perimeter * 1km
this is not slow
can u explain this please i dont really understand
do you see the circular corners of tazz
oh yeah
do you see when it starts and stops bending
yeah
draw lines to separate the circular and rectangular portions of the area
the radius of the big circle is (6+pi)/pi right
thats an odd way to write it but yes
an the area is (36+pi^2)/pi
what's (2 + 1)^2
9
what's 2^2 + 1^2
5
so (6 + π)^2 isnt the same as 6^2 + π^2
expand (6 + π)^2 instead
(6+π)(6 + π)
(6+π)6 + (6+π)π
36 + 6π + 6π + π^2
36 + 12π + π^2
so the area of 12pi + 36
also,
you cant just divide one of them by π^2 and call it done
the radius is (6+π)/π
the radius squared is (6+π)^2/π^2 or (36 + 12π + π^2)/π^2
π times the radius squared is (36 + 12π + π^2)/π
so 36/π + 12 + π is the area
minus 144/4pi?
look at what I said here to know how I got it
i mean minusing the small circle
whoops I forgot to include that
theres a shortcut you can take to make razz's area faster to find
π(6/π + 1)^2 - π(6/π)^2
π((6/π + 1)^2 - (6/π)^2)
π((6/π + 1 + 6/π)(6/π + 1 - 6/π))
π(12/π + 1)(1)
12 + π
I think you found the shortcut
isnt that just how u solve it normally
you can also expand (6/π + 1)^2
which is slightly slower
isntead of using difference of squares
its more direct so difference of squares is a shortcut compared to that
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i need help
do you know the formula for a slope?
I think?
You don't really need that, honestly, you can just count
Given the graph
i know but there are so many points i dont know which to use
fair enough, but you cant always
Just pick any two
if you wish to use the slope formula, any 2 is good
The slope is between any two points along that line
so do you think -1/-2 would work or 1/2
yes
the slope is going downwards, so is that a positive slope or negative slope?
negative?
And as a rule of thumb, if you are counting up or right, that's positive number, and down or left, it's a negative number
okay thanks!
So using whatever method you want, what is the rise?
well i'm using these to points so i think its -1
Do you know how to find slope between two points?
i count the boxes or something im not sure
yes
So what is the "rise"?
And the "run"?
-2
2
Do you understand why?
no
It goes back to what I said before
if you are counting up or right, that's positive number, and down or left, it's a negative number
OH
Because you counted right, it's positive
nobody told me this this is so smart THANK YOU
It's also how the graph works
Notice how you start at -6 and move to -4 in the x direction. You moved two units right
And right is normally positive
yes
Is that all you had?
yeah! thanks! it really helped me with my other questions
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can you help me with this
!status
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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
ok so i know the area for each one , i think
triangle = 1/2bh
square and rectangle = l*w
and circle = pi r^2
thats where im up too
so using those formulae (or otherwise), compute the area of each garden
well
here's the thing
a doesnt give me a base of height
just lengths of each side
@alpine trout Has your question been resolved?
the side lengths of the 18-24-30 triangle all have a factor of 6
it may be easier to visualize by constructing a similar triangle by dividing each of the side lengths by 6
ah i got the answer already
its a b and d
i used pythagoream theorem
so 18^2+24^2=c^2
and c=30
which is true
so i used 1/2 18*24
and then for b
14*14
for c
12*15
and for d
pi * 8^2
@inner osprey
is it correct??
seems so
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✅
ping me when you guys answer it <@&286206848099549185>
,calc (1/2)/(3/5)
Result:
0.83333333333333
Yes it's d
okk
here's my next question
i think its e
because its a negative exponent
and c would not make sense
d**
so e has to be the answer
E because the ^- make it into under the 1
i think E is a correct ans
ok perfect!
next question.. this one i might have a tough time with
$
so let me try it
so in general the max number is 56
thats what i got so far
Lol
so 45:56
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The scale factor of two similar polygons is 5:8. The perimeter and area of the smaller polygon are 95 cm and 175 cm^2, respectively. Find the perimeter and area of the larger polygon.
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Number 13
@tropic brook Has your question been resolved?
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I'm having issues solving this
I keep getting this answer. I have been finding the ratio between the length of the original vector and the new length. Then I multiply the ratio by each of the numbers in the vector. but idk where I am going wrong
i got it

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no problem 👍
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Hello! I'm having trouble finding the domain of a function. I've tried several times but I'm not sure if I'm on the right track
convert it into png please
look:
that is, to designate the domain of your function, two conditions must be met
so you have to solve them
both
first one is an immediate one
and the second one is of the form of rational inequality
please write them both in your exercise book and start to solve them , you show it in a moment
EXACTLY!
YES!
Thank you!
I will .close , try again, and if have any problem I'll come back
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I am unsure on how to solve this question. Where could i start?
@toxic anchor Has your question been resolved?
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I would approach this question like the way you did as well
do the probabilities I chose make sense tho?
I think P(A) is 1/3 but my friend thinks it’s 1/4
@finite swallow
Yes I'm here, im thinking
oh sorry
All good
P(A) = 1/2 * 1/2 = 1/4.
I think you mistook it as 1/3
why is it 1/2 * 1/2, aren't the three options BG, GG, BB?
GB, because kids aren't identical
Never take your kids as identical 😭
the 2/3 still makes sense though right
P(B|A)?
because given that its two girls, the only 3 possibilities are
GaGb
GaGa
GbGb
yeah
or would that be 3/4
cause GaGb =/ GbGa
3/4 yes
how would you calculate that without writing out all the possibilities
Some things like P(B|A), it's better to calculate by writing down all the possibilities
P(A) was easy because it's just P(G)×P(G)
okay that makes sense
Would P(A complement) just be the probability BG, GB, BB?
i'm sorry for all the questions btw 😭
Yes correct. We need GG so others are its complement
All good dw
I think that's correct, is the answer 3/7?
cause the sample size is 12 combinations, you can ignore the combinations with just boys, and 2 of BG and GB will have a G born in afternoon
uh let me compute 🤓
thats what I got!
🫡
i have another question if you're free!
Go on
its really similar to this one in the misconception of logic i had with the 3/4 1/3 thing
while i get the ss from my ipad
i'm curious, what do you study?
I am an informatiks and business studies student
smort
So yeah I'm alright at math
i'm comp sci but i never did grasp the basics of statistics
i know my part a is correct, but i'm more interested in 7/12
i wrote out all the combinations
11
12
13
14
15
16
which would be 7/12
but do i need to do the reverse as well?
11
12
21
13
31
14
41
15
51
16
61
Two dice are identical
7/12 as P(A|B) is correct for me, give me a little more time to think about this one. I think I did the same problem last year in high school
Ohhh okay, they are recording the numbers on different slips of paper and after that we take out the paper with a 1/2 probability
So I would write the reverse cases as they have put emphasis on "different" slips of paper, personally. But yeah I would recommend clarifying it with the others too as I might be wrong
i know this is wrong
i just need help on figuring out P(E|Gc)
the professor said it was P(ABO), but i don't really understand how to compute that
How do you handle prior probabilities in a total probability problem?
i just set P(G) equal to the prior probability
This is a mess, I think my knowledge isn't enough for this problem. I'll recommend asking someone else here, im sorry
yeah no worries
its hardly covered in class
i have a slightly easier question 😂
or
Ah I see 😂
Are you in the first year of your computer science degree
second year
Ahhh probability 1?
😭😭😭
This is the intro 😭 actually I have only done probability at high school as of now
Are you at an American University?
yeah
I see, that's good
German university

I did, in my 12th grade but after my SAT and ielts I decided to do it in Germany
MIT and the Ivys are just way too hard for me to get into lol
oh i just go to a state school
nothing crazy
you're helping me out with stats so i think you're pretty smart 😂
I am decent at math 🤓
There are many good state schools too tbf
i did great in calc 3 fwiw
W
did you get to take a look at this
yeah calc stuff just made sense to me
the stats thing i need to just get accustomed to
Calculus is my favorite as well
@finite swallow apparently it was just 2 * P(O) * P(AB) for P(E|Gc)
Is the 2 in the equation because of the prior probability?
in the event that the suspect is not guilty, that means that the blood types they found at the site do not correlate with the suspect, but its kind of like how we did the girls problem ahead of time, BLOODo and BLOODab does not equal BLOODab and BLOODo
so there are two cases
Ahhh this makes sense
Finding AB suspect at 1 and finding O suspect at 2 is different from finding O suspect at 1 and finding AB suspect at 2
whereas if the suspect WAS guilty, that means the blood type AB was the suspect, and P(E|G) would just be the probability of finding O blood
Yeah I feel this is correct
okay cool
still thinking about this one 😔
should i ping helpers
Yep it's been more than 15mins
you've been the best helper though penguin thank you
<@&286206848099549185> does 7/12 make sense in the context of this problem?
Ah no problem man, happy to help :) have a good day/night
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<@&286206848099549185>
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Hi, explain me please how i can find the general equation of line if x-intercept only given
You can't, you need an extra info
So, i can say that slope is undefined?
Yep
You're welcome
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Hey, is this correct
@dry quarry Has your question been resolved?
find the extremes of function
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For f(x)=sinx I need to find when x=0.5 for 0 less than equal to y less than equal to 360
So is what I do is
sin0.5
And use cast to find the other point
So I have two
And using the period
360
I add 360 to each point
But that’s outside my range
So I only have two points
Is that right
Think so
No
Nevermind
I have to do 0.5=sinx
Take inverse of sin on 0.5
And do cast
Its $\arcsin 0.5=30$
Miyagi
Why 30
Then use $\sin(180-\theta) =\sin{\theta}$
Oh right
2nd quadrant
150
My bad am preparing for exam
Haven’t done in months

Miyagi
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need help for this
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.
and if you concerns about your work, show it
okay
no i just need help how to solve num 3 i forgot how to solve it
way hard
our math teacher rushed us
factorise the numerator
show your work
i'm in a laptop
draw your work on paint
or show it in some mathtype program
Miyagi
You typed it without brackets so that's incorrect i think
Is this question 5?
3
impossible to decipher your work
but it feels like you're doing a lot of illegal stuff
i just need solutions for num 3 and i'm done
you shouldn't end up with just one term like that on the numerator
The denominator should be 15a^2b^2
forget about the denominator for now\
if you were asked to just factorise
$$-9ab^3 + 10a^5b$$
what would you do?
ℝαμΩℕωⅤ
do the distributive property? ab(-9b^2+10a^4)
@cursive crystal Has your question been resolved?
ℝαμΩℕωⅤ
then cancel the factor of ab in the numerator with the ab in the denominator
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alr so I have yet another problem
On a table, there is n stones, n is an even number. Players A and B take turns removing stones from the table. players can either remove exactly one third, exactly one half, or exactly two thirds. If that is not possible, the other player wins.
For which numbers n can player A force a win, for which numbers n can B force a win.
My idea was to factorize n and ignore all factors other than 2 and 3. players can now remove a three, convert a three into a two or remove a two.
If you get a two and a three, you can make the three into a two. the other player is now forced to take away a two, you take the other one away and he loses
if you get a single two or a single three, you just remove it and the other player loses.
If you get an odd number of twos, you each remove a two until the other player doesn’t have anything to do anymore.
That’s all I have. any ideas on how to continue?
@solar geyser Has your question been resolved?
Helpers are just people volunteering their time to help you. Be polite and patient.
You found that an odd number of 2s and no 3s is a winning position
Consider the total number of both 2s and 3s. Using a 3 can either reduce that total number by one (remove the 3) or not change it (convert into a 2)
The goal is just to remove all the 3s and at the same time leave the position with an even number of 2s
Figure out what to do in a position where there is one 3 left (depending on the number of 2s left), then same thing when there are two 3s left (again depending on the number of 2s left), and so on
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hold on let me write what i have so far
soo i have the shell radius but now i need hell height
idk whether its x + (-x/2)
or whether it should be subtraction
not sure
@graceful ibex
pls
<@&286206848099549185>
LMFAOO wrong ping
helpers save me!!!
<@&286206848099549185>
use this
i don't need help calculating
i need help finding the values
but i got it
.close
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i need help understanding what was done to this to get 64x12-729y18
divided by the other side
steps on how to solve this problem would be much appreciated
,tex .exp rules
hayley!
used distributivity and power of power
Thanks so much @mild flower
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Would I use the assignment rule for these types of problems? Or could I just trace the variable values back from the post to the pre condition?
i think you can just consider the range of each variable at each step
@brazen perch Has your question been resolved?
Like 6 for example, if I went post to pre condition
y= 0
y = z - 1
z = 2x+1
2x+1 = 0 or x = 0
Would that be sufficient proof?
i guess? idk why you don't go pre to post though
x = 0
z = 2x + 1 = 2(0) + 1 = 0 + 1 = 1
y = z - 1 = 1 - 1 = 0
yeah it proves that IF x=0 at the start, THEN y=0 at the end
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@wary mantle Has your question been resolved?
.close
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can anyone please tell why i got this wrong??
i was trying to prove limx->0 sin(x)/x equals 1
I cannot make out what you writing
Are you numbering each line?
On line 2, did you square everything and shorten sin to just s?
oh yep
it was actually just a scribble of mine to solve it but i guess i had to clear that out before posting this
Is this 4²*x²?