Melody

Sun 5/4/15

FTJ means "For the Juniors"

Another answer for me to chew on - thanks Alan :)

I still think those girls are on the men's knees. :)   

Thank you Alan.

What graphing program did you use?

Hi Nauseated,

I still do not see why the counting exercise of putting 4 b***s in 3 boxes is  4C3.

I know the answer is the same but that could just be coincidence.  :/

Thanks Alan,

I will chew on this when I am less tired :)

When the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1.

When it is divided by x - 2, the remainder is -4. What are the values of m and n

$$\\f(x)=mx^3 - 3x^2 + nx + 2\\
f(-3)=m*-27-3*9+-3n+2=-1\\
-27m-27-3n+2=1\\
-27m-3n-25=1\\
-27m-3n=26\qquad (1)\\\\\\
f(2)=m*8 - 12 + 2n + 2=-4\\
8m - 10 + 2n + 2=-4\\
8m + 2n =4\qquad(2)\\$$

Now check what i have done because it is late and I could easily have made a mistake

Then solve the equations simultaneously. :)

What are the roof dimensions and what is the radius of the pancakes?

If I run out of pancakes can I finsh the job with belgium waffles?

Hi MG,

I see that you have tried to use LaTex to write this - I am really pleased  

This was your attempt :)

$$3^2*sqrt(5)$$

sqrt is a function,  there are many functions in LaTex.

The trick is that the function must be preceded by a backwards slash.  \

now 5 is the "argument" of the function.  It must be in curly backets, the real name is parentheses  {}

so    sqrt(5) needs to be written as  \sqrt{5}

$$\sqrt{5}$$       and that is the LaTex output :)

NOW  I WILL TALK ABOUT THE ACTUAL QUESTION.

$$3^2*\sqrt{5}=9*\sqrt5 = 9\sqrt5$$

The * sign can be invisable.  :)

This is an irrational number so it is already the best exact answer.

The answer you gave is an approximation :)

I have no idea what you are talking about.