Mathematics
13 Online
OpenStudy (nightmarenight):
Help??? will give medal and fan for right answers!! pls answer both!! attached below!!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (nightmarenight):
OpenStudy (bibby):
y = kx where k is a constant number is the formula for a direct linear variation IIRC
OpenStudy (bibby):
So for number 1, can you pick out which one is/isn't the direct linear variation?
OpenStudy (bibby):
for example. y = 3x y = 2x y = 6x etc. are all direct linear variations.
y=x^2
y=x-1 aren't
OpenStudy (nightmarenight):
y=x-1? I dont think that was one of the answers
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
It isn't I'm trying to teach you what is and isn't a direct linear variation.
OpenStudy (bibby):
Do you want to start solving the first part?
OpenStudy (nightmarenight):
Sure
OpenStudy (bibby):
Which one do you think is or isn't a direct linear variation?
OpenStudy (nightmarenight):
I think b isnt
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
B is the only one that matches this format
y = [some number] * x.
OpenStudy (bibby):
A/C/D are all formatted differently, using subtraction etc.
You need a number multiplied by x. fractions are still numbers
OpenStudy (nightmarenight):
i was right???? o.O
OpenStudy (nightmarenight):
B is the answer
OpenStudy (bibby):
omg I can't read
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
good job o(〃^▽^〃)o
OpenStudy (nightmarenight):
thank you for your help ^o^
OpenStudy (bibby):
woah woah we're not even done
OpenStudy (bibby):
for the second part, 2 of the choices are DLV and 2 aren't.
OpenStudy (nightmarenight):
Oh? I forgot about the second one
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
So plug in y = 12 and x = 3 into A/B as they're the direct linear variations
OpenStudy (nightmarenight):
okay
OpenStudy (bibby):
Any progress?
OpenStudy (nightmarenight):
Is it A?
OpenStudy (bibby):
yup. 12 = 4*3. gj gj gj
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (nightmarenight):
thank youuuu! ^o^ @bibby
OpenStudy (bibby):
np np
♥(✿◠‿◠) ♥
OpenStudy (nightmarenight):
Would you mind helping me with a few more? ^^ @bibby just two or three ^^
OpenStudy (bibby):
yeah, if I know the math. you can post it here or in another question
OpenStudy (nightmarenight):
@bibby thank you!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
again, we want the equation to look like y = k (some number) * x^2
OpenStudy (nightmarenight):
mhm! ^^
OpenStudy (bibby):
I'm not sure how to demonstrate the working out of this, but D is the quadratic variation.
y = 3x^2. I kinda just did it in my head
OpenStudy (nightmarenight):
D is the answer o:
OpenStudy (bibby):
D is the first answer, for the second you just plug in the numbers
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (nightmarenight):
Is the second one c?
OpenStudy (bibby):
plug in the numbers, you get
\[48=\frac{ 1 }{ 24 }*2^2 = \frac{ 4 }{ 24 }\]not exactly.
OpenStudy (nightmarenight):
Wait? D?
OpenStudy (bibby):
we're looking for some number that fits this description:
48 = ? * 2^2
48 = ? * 4
OpenStudy (bibby):
sssssssso cloossssse
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (nightmarenight):
I dunno :c B?
OpenStudy (bibby):
You shouldn't be guessing lol. B is the only one that makes sense.
B: y = 12x^2
y=48
x^2= 2*2 = 4
48 .= 4*12 = true
OpenStudy (nightmarenight):
I was right though! ahah ^^ I only have two more, sorry to be taking all your time, but I really appreciate it!
OpenStudy (nightmarenight):
OpenStudy (bibby):
My time, lol. it's cool, don't worry
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
an inverse variation is formatted like \[y=\frac{ k }{ x }\]
OpenStudy (bibby):
for the first one, try to derive the formula.
f(x) = 30
x = 2\[30 = \frac{ ? }{ 2 }\]
what is k?
OpenStudy (nightmarenight):
60?w haa?
OpenStudy (bibby):
exactly. so for 1a, the inverse variation looks like:\[y=\frac{ 60 }{ x }\]
does that apply to everything in 1a?
OpenStudy (nightmarenight):
Yeah- because 30= 60/2 ?????
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
you have to do it to all the x's on the table, but yeah, it works
OpenStudy (nightmarenight):
yea
OpenStudy (bibby):
for part 2, which one is the inverse variation?
OpenStudy (nightmarenight):
wait what? i dunno which one was part 1
OpenStudy (bibby):
A
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
60/2=30
60/3=20
60/4=15
60/5=12
OpenStudy (nightmarenight):
Oh! okay ^^
OpenStudy (nightmarenight):
and for part two
OpenStudy (bibby):
for part 2, look for the inverse variation. remember they're in this format:
\[\huge y= \frac{ k }{ x }\]
OpenStudy (nightmarenight):
yep!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
that's not an answer choice
OpenStudy (bibby):
your other choice is plugging in y and x till you get an equivalence
OpenStudy (nightmarenight):
yes, I figure
OpenStudy (bibby):
So any ideas?
OpenStudy (nightmarenight):
8= k/2
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
yep
OpenStudy (bibby):
high five brotha
OpenStudy (nightmarenight):
and k is 16? haha
OpenStudy (bibby):
woah woah
OpenStudy (nightmarenight):
??
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
whoops. the equation is y=16/x
k=16
OpenStudy (nightmarenight):
Ah, mhm ^^
OpenStudy (nightmarenight):
I think it's B
OpenStudy (bibby):
yus
OpenStudy (nightmarenight):
yeaayyy :D
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
>:D
OpenStudy (nightmarenight):
I have one more ^^
OpenStudy (bibby):
is we done yet
OpenStudy (bibby):
lay it on me brotha
OpenStudy (nightmarenight):
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
if you don't remember graph transformations (like me)
You can use the x/y intercepts as a guideline.
What is the x and y intercept of that equation?
OpenStudy (nightmarenight):
Not sure?/?
OpenStudy (bibby):
y-intercept = set x = to 0
x-intercept = set y = to 0
OpenStudy (bibby):
all you really need is the x intercept I think
OpenStudy (nightmarenight):
yeah so solve for g right
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (bibby):
mhm,
0 = x-3
OpenStudy (bibby):
x = 3, the x intercept is 3. Also notice how there's no negative so the graph is a straight v
OpenStudy (nightmarenight):
Oh! It's A! thank you!
OpenStudy (bibby):
np, np