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geerky42
 one year ago
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geerky42
 one year ago
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geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\(\dfrac{2x}{4}\dfrac{3}{4}\quad\Longleftrightarrow\dfrac{2x3}{4}\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so then I went

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 2x3 }{ 4 }=\frac{ 1015x }{ 6 }\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Yes, then you crossmultiply

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1\[12x18=4060x\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Is that enough to tell what kind of equation it is?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you can tell that x is going to equal something, so it wont be indentity.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1two other options are conditional equation and inconsistent equation

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Inconsistant i believe?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1conditional equation true for certain value of x, where if you simplify equation, you end up with x=4 or something inconsistent equation false equation, where you cannot solve for x.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Oh so conditional is just like a usual equation that works out ?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1If you have something like x+1 = x+2, it's inconsistent equation because you end up with 1=2

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1lel wow the facepalms are coming out today boys

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.11c. 0=8 so this is false or inconsistent?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1I am having many issues on 2a

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1inconsistent equation is kind of fancy way to say false equation lol

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you would need to combine fraction on right side. To do so, you need to get denominator to be same

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you have \(y2\) and \(y+1\) So you just multiply numerator and denominator by \(y+1\) for first fraction and \(y2\) for second

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[\dfrac{1}{y2}\dfrac{2}{y+1}\quad\longrightarrow\dfrac{y+1}{y+1}\cdot\dfrac{1}{y2}\dfrac{2}{y+1}\cdot\dfrac{y2}{y2}\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Does that make sense? Basically you just need to get denominator to be same, so you just multiply numerator and denominator by something that would get you to desired denominator

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1kinda hard for me to explain lol

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so 1/(y+1)(y2)  4/(y+1)(y2) ?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[\dfrac{y+1}{y+1}\cdot\dfrac{1}{y2}\dfrac{2}{y+1}\cdot\dfrac{y2}{y2}\\~\\= \dfrac{y+1}{(y+1)(y2)}  \dfrac{2(y2)}{(y+1)(y2)}\\~\\=\dfrac{y+12(y2)}{(y+1)(y2)}\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1ok let's start with something simply. \(\dfrac{1}{6}+\dfrac{1}{2}\) How can we combine fraction here?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1multiply by 3/3

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so 1/6+1/2*3/3

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so you would get 1/6+3/6

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1right, so for problem 2a. it's same idea, just with variable.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1get what I am saying here?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Yes I do its just weird for me to visualize and see it right away tt idk why

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1because it's something new for you, I guess?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Well like the bigness of the equation kinda like put me in my place kinda deal

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1ok, so now we have \[\dfrac{y+12(y2)}{(y+1)(y2)}\] simplify numerator

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1CLEP test seem little harsh lol...

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1don't forgot combine like term

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1yeh was just showing steps

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1It does seem harsh :/ I'm gonna like work myself to the point of no return so I do well on it . I want this

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Right. Now cross multiply \[\dfrac{7}{y^2y2} = \dfrac{y+5}{(y2)(y+1)}\longrightarrow~?\]

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so we have to do the same with the other side then get (y2)(y+1) as denominator?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1oh i guess we dont

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Not really. denominator doesn't matter if they are on different side of equation.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1\[y^2(y+5) ,y(y+5),2(y+5)\] would this work?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so I got y3 + 5y^2 y^2 + 5y 2y+10

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1before combining

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1y^3 + 5y^2 y^2  5y 2y10

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1damn i messed up multiplying

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you just messed up with +/ signs

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1\[y^2+6y^23y10\]

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1now the other side

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1let me delete that i need to slow down

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.17(y+1) 7(y2) 14y+7, 14y14 14y+14y, 714

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1none. left side should start with \(7(y+1)(y2)\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so just keep it as is o.o?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1So firstly, you expand \((y+1)(y2)\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1why not work out?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1You only distribute something with plus sign. \(a(b+c) = ab+ac\) But \(a(bc) = abc\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so we have \[y^2y2=y^3+6y^23y10\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[7(y^2y2)=y^3+6y^23y10\]

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so do we expand it out with 7 now?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[7y^27y14=y^3+6y^23y10\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1now take all terms to right side; \(0 = y^3y^2+4y4\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1can confirm got that after working out

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1lel sorry I doing this in a note book :p

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1know what to do from here?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Notice something you can factor out? Hint: \[0 = \boxed{y^3y^2}+\boxed{4y4}\]

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1we can simplify ?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1oh you asked lol

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Oops should be \(0 = y^3y^2+4y+4\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1would we simplify the y's?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1well, actually we try to factor, so we can easily figure out solutions.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.11(y^2+4)(y+1)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Would that be how we factor it?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1close. should be \((y+1)(4y^2)\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Then you can factor \(4y^2\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1or you can "factor out" 1 from \(4y^2\) So you would have something like \((1)(y^24)\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1y^2+4. Doesnt this just put us back where we were?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, just to make it slightly easier to factor out, but never mind.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1factoring 1 out is just optional.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1You got \(0 = (y+1)(2y)(y+2)\)?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Yes that would be it fully factored

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1yeah, now can you find solutions?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1I was thinking, maybe we need to do something more efficient with time. we spend a lot of time on few problems lol.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1indeed. Im just confusedwhere to go from here like.... you are dealing with 3 exponents of y and you need to get it to 1 y to solve for the question

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you are confused on how to get solution?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Yes... like right now I feel like you could take y^2 add to both sides and square both sides so you could get y=sqrty^3+4y4

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1But that wouldn't work so I just am straight confused where to go from here

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1while solving for something, we want equation to be fully factored, so we can apply something (I forgot name) that states that If ab = 0, then either a = 0 or b = 0

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1So we can "split" equation into \(0 = y+1\) or \(0=2y\) or \(0=y+2\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1So from here, just solve for y from each equation Does that make sense?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Who gave you medal? lol

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Lol I have no clue, and Yeah that makes sense in order to get it fully factored when you have many parts

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1y=1 or y=2 or y=2

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1hmm Now plug y = 1 or y = 2 back into original equation

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1i got 7/0=1/02/3

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1yeah. zero in denominator. So we are left with y = 2 That it lol

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1wait how we left with 2?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1s: we still had 2/3 left ove

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1y = 1 and y = 2 get us zero in denominator, so they are invalid solutions.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1oh that makes sense nvm so we would try y=2

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1and baddabing there it comes out

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1You can. and you will get true equation.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Yeh Imma try that second one alone and check it laters just to make sure I understand this

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434844521381:dw

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1ehh not right reaction, but whatever

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Alright so with the first word problem., Ralph = 62n? Ralph + Tommy= 30?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Could we set the equation to 2t6=30? Cause we know the total it could be

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434844843534:dw

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1yeah you could do that

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434844913540:dw

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1you have beautiful mouse control lol

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.13t=36 36/3 t=12

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so we know Tommy scored 12 12*2 R=246=18

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434845125612:dw

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1So this one is worded weirdly for me it sounds like we are using multiple variables?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1twice the 3rd is 86

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1let's go ahead and set up equation

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1we can let first age be \(a\) So second age would be \(a+2\) third age is \(a+4\) Because we are given that three ages arethree even CONSECUTIVE integers

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1"If the sum of the 1st, four times the 2nd, and twice the 3rd is 86, what are the three ages?" So we have \(a + 4(a+2)+2(a+4) = 86\) Make sense?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Yep. As I fail reading it. It sounded really weird to me egh.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1yeah weird worded, I had to read twice lol.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1a+4a+8+2a+8=86 7a+16=86 7a=70 a=10 First Kid=10 Second Kid= 12 Third Kid = 14

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1The next one is 20%*n=960?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1n being the original price

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\(20\%\) off means you only pay 80% of original price. So that would be .8n = 960

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1wow such deal amazing price wow

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1well screw me lol

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1I was like yeh man that makes sense. Then like boom .8 is the original price payed

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1n=1200 That makes sense cause 960/.2 is like 4000 so yeh thats a lot more sense

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1and 1200240=960

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.13y=2x5 y=2/3x5/3

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1or y=.67x1.67

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1often we prefer to just leave it as fraction

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Alrights will do :p

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Next one would it look like x(x57)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1get all term to one side So you have \(x^25x14\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Well damn I just realized I can't cut it in half cause 5 is a prime number so I would have to multiply it by 2 and that would be 2*5 and thats 10 egh

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1the most you can do its take x out?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1well, we just factor into something like \((xa)(x+b)\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Oh gawd more facepalms rolling out

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Cause we legit just did that like 2 problems ago ._.

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1So how would we deal with 5 ?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1cause other than the 5 i know how to solve this

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1well, you can add itself by 2x, then you also subtract by 2x, to keep" balance" So you have \(x^25x14+ 2x2x~~~\Rightarrow~~~x^2+2x7x14\) Now can you factor?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Or to factor, you can ask yourself ab = 14 b+a = 5 So what are a and b?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1close. it's \((x+2)(x7)\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1oh damn didnt realize the subtraction signs

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1So for the next one can we do 6x^2 +3x + 4x +6?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Got it !(3x+2)(2x+1)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1so to complete the square of the next problem you would do b=2 (2/2)^2 = 1 x^2 + 2x +1 = 5+1 (x+1)^2 =6

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1i had to like triple check this lel

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Actually it's \((x+1)^2=4\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Where did I go wrong

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1You already have 5 there, and you want 1, so you subtract both sides by 4

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1Oh welp that would make sense

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1so as you can see. no real root.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1because when you square any real number, it is always positive. But here, you have 4/

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1So for the next one then so you divide both sides by 2 to x^2 alone so x^27/2x+3=0

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1((7/2)/2)^2 so 3.1 is the decimal

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1you only need b/2 So you would have 7/4 \((x\frac74)^2\)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.1The like rules they giving me is to get x^2 secluded s:
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