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pooja195
 one year ago
@mathmate
pooja195
 one year ago
@mathmate

This Question is Closed

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433627905280:dw Find x (hypotenuse) shown in the above drawing.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yep, now evaluate x numerically, please.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.112^2+5^2=c^ 144+25=169 13^2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So x=13 (is the final answer).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1which two consecutive integers does sqrt(200) fall between?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.110^2=100 11^2=121 12^2=144 13^2=169 14^2=196 15^2=225 16^2=256 ... which two consecutive integers does sqrt(200) fall between?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1"between" is the keyword. We know that 14^2=196, and 15^2=225 or sqrt(196)=14, sqrt(225)=15, so sqrt(200) falls between which integer numbers?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1no, we are looking for two integer numbers! lol

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1This si confusing T_T lets skip this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1the answer is 14 and 15. In fact sqrt(200)=14.1421356237309.... (never ends). So we know that sqrt(200) falls between 14 and 15! You were probably thinking that it's more complicated than this!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The hint is 14^2=196, so too small, 15^2=225, so too big. Therefore sqrt(200) must fall between 14 and 15. Is that ok?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Solve the equation 273y^2=0

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Would you like the work or is it ok to put in the answer?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1put in the work, but LaTeX is not required.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1first find a GCF 273y^2=0 3 is the gcf then square root answer: −3(y+3)(y−3) set values to 0 y=3 or y=−3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Very good, shows that you're comfortable with factoring. It will help in the later sections. You can also solve by isolating y, 3y^2=27 y^2=9 y=\(\pm 3\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Ready for the next one?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1an engineering student is a contestant in an egg dropping contest. The goal is to create a container for an egg so it can be dropped from a height of 32 feet without breaking. The model for the egg's height, h (in feet), at time t seconds since release, is h = 16t^2 + 32. Calculate the time at whic the egg is at a height of 10 feet above ground. Give answer to 2 decimal places.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.110=16t^2+32 subtract 32 from both sides then divide by 16 1.375= t^2 idk where to go after this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Take out your ti83 to finish!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1"give answer to 2 decimal places" is a hint you might need your ti83!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1exactly! (1.17 for 2 decimal places).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Any questions before we move to simplifying radicals?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Simplifying radicals basically is to pull things out of the squareroot sign, whenever possible. For example, sqrt(4)=2 is rather straightforward.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1But sqrt(18) is less obvious, since we write sqrt(18)=sqrt(3^2 *2)=3sqrt(2)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So I'll let your try sqrt(48) while I take a meal break!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.148 6 8 3 2 42 \[2\sqrt{12}\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1almost, just one step further sqrt(48)=sqrt(4*12)=sqrt(16*3)=sqrt(4^2 * 3)=4sqrt(3)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Simplify (1) sqrt(98) [98=2*7*7]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So every factor that appears twice inside the radical you take one outside. So sqrt(98)=sqrt(2*7*7)=7sqrt(2)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Dance club is the method my teacher taught me because teens like to think like that

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Oh! Can you show me that?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Ok its been a while but eh :P 56 8 7 4 2 2 2 2 and 2 are a couble so they leave the dance club 2 squrt 2 idk if its right

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, I get the part for the leaving dance club part (ingeneous!) Then we have to keep 2*7 in the club, so we get 2sqrt(14)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Are we done with this section ?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I usually like to see you do at least one perfect answer, like (2) sqrt(60) [60=2*2 * 3 * 5] then there is rationalize the denominator.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1(2) sqrt(60) [60=2*2 * 3 * 5]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1im confused whats the question? ..

pooja195
 one year ago
Best ResponseYou've already chosen the best response.160 10 6 5 2 3 2 2 sqrt 15

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, you're right, I don't think you have problem with that.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now we move onto rationalizing the denominator.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Mathematicians traditionally do not like to see square roots in the denominator, because that would make the common denominator very messy.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Just multiply by the root

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you want me to explain, or jump to pretest?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Rationalize 9sqrt(1/3)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The question was \(9\sqrt{\frac{1}{3}}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Example: \(sqrt(\frac{2}{5}) = \frac{\sqrt2}{\sqrt5}=\frac{\sqrt2\times \sqrt5}{\sqrt5^2}=\frac{\sqrt{10}}{5}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1just a recap, we were working on simplify 9sqrt(1/3). I sent this previous example to help.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.19 sqrt(1/3) = 9(sqrt(1)/sqrt(3)) = 9(sqrt(1)*sqrt(3)/(sqrt(3)^2)=9sqrt(3)/3=3sqrt(3)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1or \(9\sqrt{1/3}=3\frac{\sqrt3 \times \sqrt3}{\sqrt3}=3\sqrt3\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1no, you had the 3 as denominator, and not multiplied.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1not 9, it's \(3\sqrt3\) :)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, try this one: Simplify \(\Large \sqrt{\frac{25}{3}}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~\frac{ 5\sqrt{3} }{ 3 }\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! It's correct!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yep! any questions before we move on?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Graphing parabolas (quadratic functions)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1No we ahvent learned this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We need to be able to find the vertex of a parabola.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you know the shape of a quadratic function? (concave up, concave down)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1When the leading coefficient is positive, it's concave up.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1We havent learned this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433641575278:dw Here coef. of x^2=1 (positive), so it is drawn concave up.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Solving quadratic equations by graphing, guess not learned!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Using a graphics calculator?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Quadratic formula, no?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1because you already know it, or because you don't?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1but i get the feeling yr gonna end up giving a problem anyways :P

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Right! I believe you, but I am sure you can solve this in a flash!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You know me toooooooo well!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Use the quadratic formula to solve the equation 2x^2+x10=0

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i cant do it without latex

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1a=2 b=1 c=1 \[\huge~x=\frac{ (1) \pm \sqrt{(1)^24(2)(1)} }{ 2(2) } \] \[\huge~x=\frac{ 1 \pm \sqrt{(9} }{ 4 } \]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x=\frac{ 1 \pm \sqrt{9\times 1} }{ 4 } \]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i meant 1 on the top sorry!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1But you have 1 on top! Can you simplify further?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~x=\frac{1 \pm 3\sqrt{1} }{ 4 }\]

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Set up two of the equations + and  and then i get x=0.5 x=−1

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1sorry, the question was: 2x^2+x10=0 Can you make some adjustments? such as : \(\huge~x=\frac{1 \pm 3\sqrt{14(2)(10)} }{ 4 } = ...\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1cant i just link u to a one ive done today T_T

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, I believe you, I have seen you work before!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Please tell me how many roots does this equation have: x^2+2x1=0

pooja195
 one year ago
Best ResponseYou've already chosen the best response.12^2−4(−1)(1)=8 2 roots

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! how about this one? \(2x^22x+3=0\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1(−2)^2−4(2)(3)=−20 no solution OR 2 imaginary roots

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! now this one, you can almost answer without looking: \(x^2+2x+1=0\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The answer (I mean guess) is correct. Please justify your response!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent. I would also guess the same answer, because there are only three possible cases! lol Your books calls it "one solution", but I like yours better, "two equal solutions", or better still, two "coincident roots". So use any appropriate one of your choice.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Graphing quadratic inequalities?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433643467187:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1...more like next chapter!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Chapter 10 Polynomials and factoring ========================

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x^2 is a monomial (x+2) is a binomial (x^2+3x1) is a trinomial. Is x a polynomial?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1"ERROR", the computer game says!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1A polynomial includes all degrees, including x (first degree, one term only).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1What is the degree of the polynomial 4.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1linear is like 2x, 5x, which are abbreviations of \(2x^1, 5x^1\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1in that case i havent learned this ....

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(4=4x^0\), so the degree is zero! (see p.569), perhaps the teacher went through it fast.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you know how to add, subtract, multiply and divide polynomials?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1add: \((x^27)(x+2)=?\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[x^27x2\] \[x^2x9\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! nowdw:1433644413460:dw Find the perimeter and area of the swimming pool shown.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You find it hard, or too easy?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.14x+3+4x+3+x2+x2 8x^2+2x+2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1sorry, not quite yet!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1add like terms perimeter =4x+3+4x+3+x2+x2 =4x+4x+x+x +3+322 =10x+2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433644752391:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The first post was the corrected calculation for the perimeter. The second post is to calculate the area using FOIL, to be completed by you!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! For a rectangle: perimeter = 2 times the sum of two adjacent sides. Area = product of two adjacent sides.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Have you done division? (called long division, or synthetic division).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Like Divide \(20x^2+17x+3\) by 5x+3.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, but can you do it using chapter 11?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1omg no i hate that chapter >::( no no no ;(

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large \frac{20x^2+17x+3}{5x+3}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1But you were good at it, if I remember right!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1I dont like that stuff T_T princess says skip

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Teacher says "you pay now, or you pay later!" xD

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now back to multiplication! \((m^2+2m9)(m4)= \ ?\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~m^3−2m^2−17m+36 \]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! You're as good as a calculator!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.110.3 special products of polynomials ========================

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1gimme a minute to find the page

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, special products of polynomials. First, if you can, commit to memory the following: Factoring difference of two squares (a+b)(ab)=a^2b^2 Example: x^2y^2=(x+y)(xy)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1But life is not always simple like that. the problem may come up as: 4p^29q^2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You will have to _try_ to factorize each term into a perfect square before proceeding, 4p^29q^2 = (2p)^2(3q)^2 (remember the law of exponents?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, pretty close, you only lost your q..lol

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! You get the idea, and I'm sure you can do it backwards.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1like factor (16a^24b^2 ).

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Very good! Now we move on to the perfect squares. Commit to memory the following patterns: (a+b)^2 = a^2 + 2ab + b^2 (ab)^2 = a^2  2ab + b^2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Example: (backwards of FOIL) 9x^224x+16 = (3x)^2  2 (3x)(4) + (4^2) = (3x4)^2

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Note that perfect squares have three terms, and both the square terms are ALWAYS positive. The middle term may be positive or negative, depending on the pattern.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I'll give you a couple of problems, but I have to go after that, perhaps for 50 minutes. factor 1. 9x^2+30x+25 2. 4x^212x+9

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1gtg, but hope you have the answers by the time I'm back!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\(\huge\color{blue}{1.~~ (3x+5)(3x+5)}\) \(\huge\color{blue}{2.~~(2x−3)(2x−3) }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1@pooja195 Yes, excellent. I would have written them as squres, so that it is easier to read. \( \huge\color{blue}{1.~~ (3x+5)^2}\) \(\huge\color{blue}{2.~~(2x−3)^2 }\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1No you don't have to do foil to get the answer, but it's a good idea to do FOIL to _check_ the answer.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1If there are no questions on 11.3, then next case. 11.4 ZERO PRODUCT PROPERTY Let a and b be real number. If ab=0, then a=0 or b=0. If the product of two factors is zero, then at least one of the factors must be zero.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So if (x3)(2x5)=0, what are the possible values of x?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent! Solve by factoring: \(\Large x^2x3=0\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1sorry, it: \(\Large x^2x6=0\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you need more practice on factoring a quadratic?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1...apart from word problems?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1No i think i have it all

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Just to make sure, try factor \(2x^29x35\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Why, that's too fast!? Are you sure of your answer?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1(2x+5)=0 (x−7)=0 x=5/2 x=7

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, now factor 3p^2+36p+108

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you remember the first step in factoring?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1faster than I can type! Is the calculator there somewhere? lol

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1maybe ;) but not for the whole problem :P

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i didnt use it for the whole thing just to find the factors :/

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Aren't you on your laptop with a camera?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1next: factor \(\large 4x^3+20x^2+24x\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I like it when you actually sweat it out!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now real cubic factors: \((x+y)^3 = (x+y)(x^2xy+y^2)\) \((xy)^3 = (xy)(x^2+xy+y^2)\) I'll sho you the SOAP rule Nnesha taught me today!

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1i havent learned this ,,

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Sorry, wrong formulas: \(x^3+y^3 = (x+y)(x^2xy+y^2)\) \(x^3y^3 = (xy)(x^2+xy+y^2)\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1ok, then Ch 10 is done!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It has to do with the cubic factoring, you really want it?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433700122466:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The same SOAP rule applies to x^3y^3 and x^3+y^3.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It's all about signs only.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Pretty cute, isn't it?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So, shall we start Ch 11?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Maybe we should do more quadratic factoring

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Find the product \(\large (d+2)(d^23d10)\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge~d^3−d^2−16d−20\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Exactly! Have you done the grid method of multiplication?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It makes your life easier, even without a calculator!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Here's how it works. Nothing magical, just helps you organize.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433700861581:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1find product: (3x^35z^2+8)(z+2)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Be careful if you use the grid method, and treat the first factor as: (3z^35z^2+0+8) to fill the gap. and the first term is 3z^3, not 3x^3, sorry.

pooja195
 one year ago
Best ResponseYou've already chosen the best response.13x^3z+6x^3−5z^3−10z^2+8z+16

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You mean 3x^4 at the beginning. :)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1How about factor \(\large 30x^2+38x+12\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Last one for chapter 10 (if you get it without calculator) Factor \(\large 4x^2+44x+121\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Unless there are questions, that's it for Ch 10.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.111.1 Proportions ==========

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1solve \(\Large \frac{3}{y}=\frac{5}{8}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.18*3=24 5y 5y=24 y=24/5

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yep, that's good. That's cross multiplication.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We can extend the idea...

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Solve \(\Large \frac{2}{x3}=\frac{7}{x+2}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.12(x+2) = 7(x3) 2x+4=7x21 2x=7x25 5x=25 x=5

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent. Now try solve \(\Large \frac{x}{x4}=\frac{6x}{x+1}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1x(x+1)=6x(x4) x^2+1x=6x^224x 7x^2+1x=24x not sure...

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x^2+1x=6x^224x is good, work from here.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1x^2+1x=6x^224x subtract x^2+x on each side: x^2+x  (x^2x) = 6x^224x x^2 x 0 = 5x^225x 0=5x(x5) so x=0 or x=5

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Solve \(\Large \frac{5}{x+2}=\frac{3x1}{x^21}\)

pooja195
 one year ago
Best ResponseYou've already chosen the best response.15(x^21) = (3x1)(x+2) 5x^2−5=3x^2+5x−2 5x^2−5−(3x^2+5x−2)=3x^2+5x−2−(3x^2+5x−2) 2x^2−5x−3=0 (2x+1)(x−3)=0 2x+1=0 or x−3=0 x= 1/2 or x=3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Excellent, like a pro!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Any question on proportions?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.111.2 Direct and inverse variations. =====================

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It's important to know what's what.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Can you give me an example of one of each?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Usually it's in the form y=.....

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Direct variation: y=kx, example y=x, y=x/2, y=3.2x Inverse variation: xy=k, or y=k/x Example y=4/x, or xy=10

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433706731769:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433706794615:dw

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1Direct 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) right? This is from the other post.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1That's true, exactly!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So if I give you: x y 1 3 2 6 3 9 Is this direct or inverse variation?

pooja195
 one year ago
Best ResponseYou've already chosen the best response.1>_< can we not do these ..

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1These are needed to solve word problems!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Say x=4/y, direct or inverse?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Ok, I'll put it another way. When the function is in the slopeintercept form, with \(b=0\), then it is direct variation.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1if it is something to do with xy=something, it is inverse.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1If it is in slopeintercept with intercept NOT equal to zero, it's partial (neither direct, nor inverse)