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Yea you got it LOL!

Ah, my bad.

3/23*6/11 = 18/253

Well... no. 3/4 wasn't a value in the equation. I thought you had it, try again!

Thanks!

The total number of balls is 23. The probability of choosing a blue ball on her first draw is 3/23. The probabilty of choosing a red ball on her second draw is 12/22, or 6/11, because the ball is not replaced. Now we can multiply the probabilities and get \(3\over 4\)*\(6\over11\), equaling 18/44, or 9/22.

Oh....I'm  often incorrect....but....I try  NOT to be  !!!

Well my mind isn't very great haha, but you're never incorrect, so this must be the correct answer. ^-^

Well....two great minds couldn't possibly be incorrect, could they   ???

LOL!!!

Not all images work, I guess it has to be a certain size. Took me a while to get a good sized pic.

a 1. sorry. :(

That is exactly what I got tyvm! Proof: 

Ignore the other ones lol

The  value of the element is    (what  ??? )

h(t)  =  -16t^2  + 120t   +  6

The time  to reach the max height   =    -120  /[ 2 * -16 ]  = -120 / -32  = 3.75 sec

And....to find the max height, plug this value back into the function  =

-16(3.75)^2 + 120 (3.75)  +   6  =   231 ft

Note that the  change in height is [231 - 6 ]  = 225 ft

So...the average rate of change  in height  from intial height to max height   =   [231- 6] / 3.75  =

225 / 3.75  = 60 ft / sec

Ehh I guess. I'm thinking it would be this for the max. height: -120/2(-16) which equals 3.75 so it would be [0,3.75] and then I got the rest :P i'll show my work if anyone wants me to.

Graphing it helps a lot.

Just need to know how to get the [_,_] slope (x intercepts) 

An element is randomly chosen from among the first 15 rows. I might have left that out.

Simply calculate the values of the combinations and multiply for the first problem.

The second problem is really just 13578^-1, which you can calculate.

Try solving.

Every person    shakes  hands with  10  other people

So...  12 * 10   =  120

But handshake  A - C   is the same as handshake  C  - A

So...we need to  divide this by 2

So  120 / 2   = 60  handshakes

Melody's  method  is known as " dimensional analysis".......!!!!

Thank you so much for your help! Are they both direct?

2. Find the domain of {x^2 + 10x + 21}/{x^2 + 4x - 21}. (Express your answer using interval notation.)

The domain will only be restricted by all the values of x that make the  denominator  = 0 

So we have

x^2 + 4x  - 21    =  0       factor

(x + 7)  ( x - 3)   =   0

Set  both  factors to 0  and solve for x   and we havethat   x  = -7   and  x = 3

So....the domain is   (-infinity, -7) U ( -7, 3) U (3, infinity)

\(f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if } x \le 3, \\ 8 - 4x & \text{if } x > 3. \end{array} \right.\ \)

Find the sum of all values of x such that f(x) = 0

0  =  2x +  1    subtract  1  from each side

-1  = 2x           divide both sides by 2

-1/2  = x

And

0  = 8 - 4x     add 4x to both sides

4x  = 8          divede both sides   by  4

x  =  2       [  not  in the domain  of the second function ]

So  the  sum  of all  values  such that f(x)  = 0   is  just   -1/2

Multiply first equation by 2 :   10u = -14-4v

add to second equation :   13u = -39       so u= - 3

Sustitute this result in to one of the equations:   5(-3) = -7-2v    Solve:  v= 4