Melody

Square root of minus12 to the third power sigma pi

I really do not know what you are talking about

$$(\sqrt{-12})^{1/3}\; \sigma\; \pi$$

Is that your question?  Means little to me. 

$$\\\frac{(x+1)}{(2-x) }< \frac{x}{(3+x)}\\\\
$I am going to multiply both sides by positive numbers and see if that will help$\\\\
(2-x)^2(3+x)^2*\frac{(x+1)}{(2-x) }<(2-x)^2(3+x)^2 \frac{x}{(3+x)}\\\\
(2-x)(3+x)^2(x+1)<(2-x)^2(3+x) x\\\\
(2-x)(3+x)^2(x+1)-(2-x)^2(3+x) x<0\\\\
(2-x)(3+x)\;[(3+x)(x+1)-(2-x) x]<0\\\\
-(x-2)(x+3)\;[(x+3)(x+1)-x(-x+2)]<0\\\\
-(x-2)(x+3)\;[x^2+x+3x+3+x^2-2x]<0\\\\
-(x-2)(x+3)\;[2x^2+2x+3]<0\\\\$$

consider   

  $$\\2x^2+2x+3=0\\\\
\triangle=4-24<0\\\\
$since the discriminant is 0 there are no roots for this.$\\\\
$the axis of symmetry for $y=2x^2+2x+3\;\;is\;\; \frac{-b}{2a}=\frac{-2}{4}=\frac{-1}{2}$$

the roots are    x=2 AND x=-3       

the polynomial if set to y and graphed will finish in the bottom right corner because of the - out to front.

I can see that the polynomial will be less than 0 when  x>2 and when x<-3

I am sorry i probably have not explained this very well, it was a difficult question for this type.

I did not use the graph but I will draw it now to show you.

Thanks Shaomada, you are ofcourse correct.  The question just confused me.

when I said that    $$|z|\ne z+\bar z$$    I really meant that they are not the same thing.

You are right - they are equal sometimes.

$$\\\sqrt{a^2+b^2}=2a\qquad a \ge 0\\
a^2+b^2=4a^2\\
b^2=3a^2$$

They will be equal whenever this condition is met.

Well you have been given lots of information here.

What do you think the answer might be?  How will you try to do it?

It is very similar to this question - just a little easier.

We are not here just to provide answers so that you can plug the answer in and get it right.

If you want more input on this question you should work with us  :)

You need to use the compound interest formula.

do you know if?

Why are you having problems?

 A.   7C2×5C2

B.     7C3*5C1+  7C4 =  5×7C3+7C4

I don't understand.    

Maybe it is just too late for me.

When this music finishes I am off to bed.  :)

One thing about probabiliity is that it can be really difficult to interprete what you are being asked for.

The other thing about prob is that although you may be able to understand the correct answer when it is presented to you, you often still cannot understand why your own original answer is incorrect!

It is an interesting and a frustrating feild of methematics. 

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I'm listening to this

so what is the 858 for?

doesn't that snip say that there are 858 possibilities?