A community for students.
Here's the question you clicked on:
 0 viewing
pooja195
 one year ago
@mathmate
pooja195
 one year ago
@mathmate

This Question is Closed

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1@Nnesha its not spam ;)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1@Nnesha its not spam ;)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1What's your question?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1O_o question? XD 2+2=?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Not allowed to give direct answers. Check the drawing: dw:1433043776037:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1That means: 1. i dont like this and 2. i dont understand this OR 3. i dont want to do this Which one/ones?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Calculate \(\large \frac{1}{2}+\frac{2}{3}\). Show work.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Calculate 12+23. \(\huge \color{red}{Show work.}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Why are we doing this? ..

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Because it is the same way you do this as with rational fractions. This is a pretest!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1idk how to show work for that ..

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, that's how it works: Calculate \(\large \frac{1}{2}+\frac{2}{3}\), show work.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{1}{2}+\frac{2}{3}=\frac{1*3}{2*3}+\frac{2*2}{3*2}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you know why we multiply the first fraction by three, and the second by two?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1to get a common denominator

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Just a review of terms: 1/2 = 2/4 because they are __________________

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1exactly "equivalent fractions"! That's a good start! You know your stuff.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The idea of adding and subtracting rational fraction is exactly the same!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We multiply top and bottom of each term by a factor so that the denominator becomes the common denominator.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Since each term remains an equivalent fraction, the answer will not change, BUT...

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1we now only have to add the numerators of the equivalent fractions, just like the numerical example.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{1}{2}+\frac{2}{3}=\frac{1*3}{2*3}+\frac{2*2}{3*2}=\frac{3}{6}+\frac{4}{6}=\frac{7}{6}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Sorry it took a while!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The next one will be equally easy! gimme a minute.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Calculate \(\large \frac{1}{x}+\frac{2}{x^2}\) show work!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~\frac{ 1*x }{ x*x }+\frac{ 2 }{ x^2}=\frac{ 1x+2 }{ x^2 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! Just remember that 1x is usually written as x, except when showing work.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now: Calculate \(\large \frac{2}{(x1)}\frac{1}{(x1)^2}\) show work!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 2*(x1) }{ (x1)*(x1) }\frac{ 1 }{ (x1)^2 }=\frac{ 1(x1) }{ (x1) }=1\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The denominator is still meant to be (x1)^2 ? You need to do the math on the numerators. Give it another shot!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{ 2*(x1) }{ (x1)*(x1) }\frac{ 1 }{ (x1)^2 }\) is perfect!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1At this point, both denominators are identical, so we can do the math just on the numerators \(\large \frac{ 2*(x1) 1 }{ (x1)^2 }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now can you do the math (on the numerator) and finish?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ x(x1) }{ (x1)^2 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You need to distribute the first term, and add like terms, 2*(x1)1 = 2x2 1 =2x3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So the final answer is....

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\frac{ x(x1) }{ 2x3 }\]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 2x3 }{ (x1)^2 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Whew! Yes, excellent!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1One thing we did without saying it is...nothing. We did "nothing" to factorize the numerator, because it was "obvious" there are no factors.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1In general, after the arithmetic on the numerator, we need to factor the numerator, can you tell me why?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1:/ so its easier to multiply or is it to break down the numbers? :/

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So that we can cancel (with condition) IF there are common factors between the numerator and denominator, just like what we did before in the simplification. Does that make sense?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Are there any points to clarify, or are we good?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, now, try this: Calculate \(\large \frac{3}{x}\frac{2}{x1}\) show work!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Look at the denominators.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1there are no common factors! So you just "cross multiply", which is a short cut when there are no common factors. like \(\large \frac{1}{2}+\frac{3}{5}= \frac{1*5}{2*5}+\frac{2*3}{x*5}=\frac{1*5+2*3}{2*5}=\frac{11}{10}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i thought u can only do that if there is an equal sighn :/

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It's not a real cross multiplication, but it works in a similar way.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The pattern helps when there are no common factors. You can use that in the new problem.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Calculate \(\large \frac{3}{x}\frac{2}{x1}\), show work! Remember that when there is no common factors in the denominators, the common denominator is just the product, namely x(x1)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{3}{x}\frac{2}{x1}=\frac{3(x1)}{x(x1)}\frac{2x}{(x1)x}=\frac{3(x1)2x}{x(x1)}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1hmm ok makes a bit more sense

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Good! you can finish it?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ x1 }{ x(x1) }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1IF it was x(x1)/(x1), you would have simplified it to x, x\(\ne\)1. But 3(x−1)−2x=3x3 2x (distribute 3(x1) to 3x3 first, then add 2x) =x3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1With x3 as numerator, what would the answer be then?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1the common denominator does not change, so still x(x1) Answer would then be: \(\huge \frac{ x3 }{ x(x1) }\) nothing to further simplify!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Here's one for you to think about when I'm off for a few minutes. Calculate \(\large \frac{2}{(x+1)}+\frac{1}{(x1)}\) , show work! Do remember to work out the math in the numerator, and the common denominator (product of x+1 and x1) does not change.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ (x1)*2 }{ (x1)*(x+1) }+\frac{ (x+1)*1 }{ (x+1)*x1) }=\frac{ 3(x+1)(x1) }{ (x1)(x+1) } \]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The first part is very good!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Recall that since the denominator is the same, and does not change, we need to ADD the numerators (and not multiply).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So it would read: \(\LARGE \frac{ (x1)*2 + (x+1)*1}{ (x1)(x+1) }\) \(=\LARGE \frac{ 2X2 + X+1}{ (x1)(x+1) }\) \(=\LARGE \frac{ 3X1 }{ (x1)(x+1) }\), OR \(=\LARGE \frac{ 3X1 }{ x^21 }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Your steps are correct. It's just the last step of expanding and adding that there was a correction to make. Are you ok with the correction, or confused?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, if it's the part of expansion perhaps you could use some help. (x1)*2 + (x+1)*1 is the same as 2(x1) + (x+1) .... a coefficient of 1 is understood. Then we distribute, basically a half FOIL 2*x + 2*(1) + x+1 ..... parentheses after a plus sign can be removed without change that makes 2x 2 +x +1 Now add like terms 2x+x 2+1 =3x1 this is the numerator, since the denominator does not change, we have as the answer: =\(\Large \frac{ 3X1 }{ x^21 }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Good! Would you like to do one while I'm offline, probably in less than 5 minutes?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Sure i gotta go too xD

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{3}{x1}\frac{2x}{x^21}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Simplify \(\large \frac{3}{x1}\frac{2x}{x^21}\). Show work!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1im not sure how to do this ..

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I would factor the second denominator, x^21 into (x+1)(x1) using difference of 2 squares (note 1=1^2). This gives \(\large \frac{3}{x1}\frac{2x}{(x+1)(x1)}\) the proceed as before.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{3*x+1 }{ x1*x+1 }\frac{ 2x }{ (x+1)(x1) }=\frac{ 6x(x+1) }{ (x^21 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1A minor correction by adding parentheses: (using PEMBAS) \(\Large\frac{3*(x+1) }{ (x1)*(x+1) }\frac{ 2x }{ (x+1)(x1) }=\frac{ 3x+32x }{ (x^21) }=?\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The first step was perfect. Then you would distribute(expand) and add/subtract as needed. The final step I leave to you, if possible.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1in this case, there is nothing to factor! 3x32x = 3x2x3=x3 so answer is \(\Large \frac{x3}{x^21}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i was gonna say that XD

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1of course! I knew that! xD

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1lol u are learning all mai tricks >.>

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, this is either called learning, or contamination, depending on the point of view! xD

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1contamination >.> because now i cant use it :P

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam! Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!Spam!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Just another contamination!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Ok, would you feel sad if I say...

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Are we done for the day? :o

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1nope, but we're done with 11.2 to 11.6 ?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1We are done? :o YAY NO MORE MATH

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Not too fast, read the whole line, please! lol

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So now we're onto Rational equations! Interesting stuff!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Solve for x: \(\large x+1=\frac{72}{x}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i dont think i have learned this ..

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1If not, now you will!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1wait im starting to remeber things >.>

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Any idea where to start?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~\frac{ x+1 }{ 1}=\frac{ 72 }{ x }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! Memories are coming back!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[ \huge~72*1=x(x+1)\] \[\huge~72=x^2+1x\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent again! next?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x^2+1x72=0\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Beautiful! Pray continue!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433116854133:dw \[\huge~(x+9)(x8)\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You're almost done. Equate each factor to zero to find the answers.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1I think i have this section lets not do anymore :D ?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Just two more! Solve for x: \(\large \frac{10}{x+4}=\frac{15}{4(x+1)}\) This is easier than FOIL.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1There is no factoring involved, you'd do it in 10 seconds, + 30 minutes of typing.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~40(x+1)=15(x+4)\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Too fast.... but everything is right!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.140x+40=15x+60 40x=15x+20 25x=20 x=20/25

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent, and the answer is.....

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I think most teachers would tolerate this (not simplifying), although I don't. I would give 95% instead of 100%. So it depends on your teacher!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You're in trouble when I learn more of these! Well, you need to give extra credit to those who do a perfect job, that's my reasoning!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now the last one, you'd be sad when it's done!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1After this no more math??? :O

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, after this last problem, no more math (until your quiz) unless you have questions.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i have 2 questions on my hw thing i dont get at all : /

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We'll look at that after this question. Perhaps by that time you will know how to do. Solve \(\large 3x=\frac{5x+6}{2x+3}\). Show work.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~\frac{ 3x }{ 1 }=\frac{ 5x+6 }{ 2x+3 }\] \[\huge3x(2x+3)=1(5x+6)\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent, so far so good. You're living up to your reputations!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[6x^2+9x=5x+6\] \[6x^2+4x6=0\] dw:1433118120725:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So far so good! Pray continue!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Actually, to make you life simpler, divide the equation by 2 to get 3x^2+2x3=0 This will give smaller numbers, so easier to work with.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433118297396:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent. What's the next step?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1lets just skip this one ;; lets do one that doesnt have this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The reason I choose this one is because in the real world (including exams), answers don't always come out in integers.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Just to make sure you're prepared for the quadratic formula. You could type the discriminant faster than lightning, why not the quad. formula?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1What would the equation be?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(6x^2+4x6=0\), or half of that: 3x^2+2x3 Either one will do, doesn't make a differce with the quad. formula. Makes a big diff. with factoring.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1a=3 b=2 c=3 \[\huge~x=\frac{ 2 \pm \sqrt{(2)^24(3)(3)} }{ 2(3) } \]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Correct! Now pull out your calculator, or do it mentally, to find the final solution.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x=\frac{ 2\pm~\sqrt{40} }{ 6 }\]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x=\frac{ 2 \pm \sqrt{4\times10} }{ 6 }\]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x=\frac{ 2 \pm 2\sqrt{10} }{ 6 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, yours is correct (again 95%), unless ... \(\Large~x=\frac{ 2 \pm \sqrt{40} }{ 2(3) }\) \(\Large~x=\frac{ 1 \pm \sqrt{10} }{ 3 }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1lol, don't worry about the 5%, but I give you credit for coming that close, especially the part going from sqrt(40) to sqrt(10), excellent job!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, in case you have nightmares with + and  signs poking at you, you can wake up and try this. It's not as hard as it seems. \(\Large \frac{3c}{c^24}+\frac{1}{c2}=\frac{2}{c+2}\) You will need to simplify the lefthand side first, then do the equation solving.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1O_O where did u get that?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Does it look too difficult? BTW, the answer is 3, so you don't have to cheat! lol

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1noo it looked fimiliar

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Did you get it from your teacher? Well, I'll show you a gold mine. If you can't sleep, go to http://www.regentsprep.org/regents/math/algtrig/ate11/RationalEqPract.htm and practise all those problems!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1With this one, do the simplification on the lefthand side and then solve. Do not follow the solution provided.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You said you had two hw questions!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Can we practice more on everything once yr back? :)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1or you have specific questions?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1No lets just go with 11.2 etc

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433125010350:dw name the variation.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Good! x 1 2 3 4 5 y 2 4 6 8 10 what is x when y=14

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x 1 5 10 y 20 4 2 What is y when x=40

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We see that y is decreasing as x increases. See if you can find the rule!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1no, that's too small. The rule for direct variation is y=kx, where k is a constant. In the first example, x 1 2 3 4 5 y 2 4 6 8 10 we see that the rule is y=2x, so it is a direct variation.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The rule for inverse variation is y=k/x. For the second example, we have x 1 5 10 y 20 4 2 so the rule is y=20/x (20=20/1, 4=20/5, 2=20/10, ...) so what is y when x=40?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Another way to write the rule is xy=k For example 2, k=20, so 1*20=20 4*5=20...

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1According to the rule, y=20/40 = 1/2, so when x=40, y=1/2 or use the alternate rule, xy=20 40y=20, or y=1/2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x 2 7 12 y 6 21 36 Name the variation, and find x when y=120

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i dont like there >.>

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You've done those before?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I know we did not go over it, but never too late! :(

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I'll show a few examples first. Direct variation: rule y=kx (when x is greater, y is greater) Inverse variation: rule xy=k (when x increases, y decreases, that's why inverse) so far so good?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433125957505:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Notice that inverse variation is not a straight line. It is a curve.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Ok, now, to find the rule, this is what you do.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1First find if the function is increasing, or decreasing. ok

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1do you know how to tell if a function is increasing?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1If the line is going up?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433126223857:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes. An excellent example. If it is a straight line, we know it is not inverse.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Is it automatically direct variation?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Unfortunately, there are other variations. The one you drew is called a partial variation. It is a straight line that does not pass through the origin. A straight line that passes through the origin AND increasing, then it's direct!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433126603203:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It has to do with the rule. A partial is y=mx+b where b\(\ne\)0 A direct is when y=kx (i.e. b=0) For example, x 2 5 8 y 6 12 18 is partial because y=2x+2 while x 2 5 8 y 4 10 16 is direct because y=2x

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1hmmmm makes a bit more sense :3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Good! We'll get back to the last problem. x 2 7 12 y 6 21 36 Name the variation, state the rule, and find x when y=120

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Can you start with the variation? (is it increasing? If it is, it is not inverse)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1so it cannot be inverse. The rule you gave is for inverse.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1When you give a rule, you have to check that it works for at least two points.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1and you need to find k. Let's say we decide that it is direct variation, then y=kx substitute (2,6) we have 6=2k, or k=3 Let's try it for another point: (12,36), so that is 36=12k, k=3 again. So we have found the rule y=3x. If y=120, then 120=3x, what is x?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Exactly. So the rule is: 1. examine and assume a distribution. 2. substitute one of the points in the rule (of the assumed distribution) 3. check with another point, to see if the rule is still valid. 4. Give the answer.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now, try x 2 4 6 y 6 3 2 State 1. the variation 2. the rule 3. value of x when y=24

pooja195
 one year ago
Best ResponseYou've already chosen the best response.11) PArtial 2) y=mx+b 3) Lets skip it ;;

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, it's decreasing

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1so it is not direct. Is it a straight line, let's check the slope.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x 2 4 6 y 6 3 2 slope = (y2y1)/(x2x1) between 2 and 4, slope = (36)/(42) = 3/2 = 1.5 between 4 and 6, slope = (23)/(64) = 1/2 Since the slope is not constant, it is not a straight line.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So it's not partial. Try inverse: x 2 4 6 y 6 3 2 2*6=12 4*3=12 6*2=12 so k=12 for inverse!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Can you finish answering?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Variation: inverse Rule: either xy=12, or y=12/x Now when y=24, what would x be?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Hin: Rule: either xy=12, or y=12/x

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1weve spent about an hour on this .. y=2? ??

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1xy=12, y=24 so x=12/y=12/24=1/2 lol Yes, almost an hour.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1and it was a good thing, because now you won't miss the easy questions.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1k, where do we go from here? (it's laggy)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Want to start a new post?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.