Melody

How many thirds are there in ⁶/₅?

That is what division is for :)

(6/5)/(1/3) = 3.6

\(\frac{6}{5}\div \frac{1}{3}\\ =\frac{6}{5}\times\frac{3}{1}\\ =\frac{18}{5}\\ =3\frac{3}{5}\\ =3.6\)

I've been thinking more about this question.

When the graph of a certain function f(x) is

shifted 2 units to the right

and stretched vertically by a factor of 2 (meaning that all y-coordinates are doubled), the resulting figure is identical to the original graph. Given that f(0)=0.1, what is f(10)?

From my previous answer I have:

These points satisfy the equation

 \(f(x)=0.1*2^{(n/2)}\)

I graphed this to check it worked properly.   It did :)

Hi Jz1234

It is not like that because the sum of the numbers must be 9.

So you cannot use a stars and bars method :)

Thanks Ginger, I guess that does account for your cat's appearance :/

I ate guinea p*g once, it was not worth the effort. It is no wonder DC had to eat so many hamsters before he was satisfied!

If x3 and x2 don't exist in the polynomial (x3+mx+n) (x2-3x+4);

What is the value of m, n?

\((x^3+mx+n) (x^2-3x+4)\\ x^3\;\;terms: 4x^3+mx*x^2= 4x^3+mx^3= (4+m)x^3 \\ x^2\;\;terms: -mx*3x+nx^2=-3mx^2+nx^2=(-3m+n)x^2\\~\\ 4+m=0\\ m=-4\\ -3m+n=0\\ n=3m\\ n=3*-4\\ n=-12\\~\\ n=-12,\qquad m=-4 \)

Thanks Ashreeta, your answer is perfect, you should give yourself a point  :)

You can also set this up as an equation.

\(x+-17=-22\\ x-17=-22\qquad \text{ +17 to BOTH sides }\\ \;\:+17\quad+17\\ \qquad x\;= -22+17\\ \qquad x\; = -5\\ \)

I think I saw Rom or Bertie do one one time. 

I thought it was quite entriguing. :)

Can I have your cats autograph to please Ginger. :)

Look what you have done to your poor cat!

Thanks :))

Thanks my nameless friend :)

I'll believe you but why?

I wonder which combination/s I forgot....  Not that I really care all that much but it is nice to get these time wasting answers correct.    (I'm referring to my answer, not to the question)