Melody

Find t if the expansion of the product of x^3 - 4x^2 + 5x - 5 and x^2 + tx - 7 has no x^2 term.

what are the x^2 terms

-4x^2*( -7)    +    5x(tx)   +    -5(x^2)

so what is the coefficient of x^2 in terms of t  ?

h(7) is approximately 2.6   ( you can working it out more accurately if you want.)

h(2.6) is approximately   3

so   H(h(7))  is approximately 3

Just look at the hoghest powers

2x^4 * 3x^10 = 6x^14

6x^14 ..... -   x^16 .....

Highest power of x will be 16     The leading term will be    -x^16

the degree is 16

Expand and simplify and see what you get.

This IS a thread, and you started it.  

He spent 4/5, so he has 1/5 left.

spent 4 parts,   left 1 part

spent $28          left  ?

Can you work it out now?

Hi Sparklingwater2.

Thanks for answering.

A small suggestion .. I hope you don't mind.

Blocks like that are very uninviting.

If you spread it out, starting by putting each new sentence on a new line, it will be much easier for people to read and comprehend. :)

The denominator will have to be 0.  You cannot divide by 0

4^(10)*8^(20)*16^(30)

\(4^{10}*8^{20}*16^{30}\\ =2^{2*10}*2^{3*20}*2^{4*30}\\ =\)

Now add the indices

I will assume that all the cups are different and all the balls are the same.

There are 10C3 ways to choose three cups = 120

There are 10C2 ways to choose 2 cups = 45  

    but either one could have the 2 balls so that is realy 90 ways

there are 10 ways they can all be in the same cup

so that makes a total of 220 ways and 90 of those have exactly 2 balls in one cup

so     90/220  = 9/22

I am not 100% sure it is correct.  I think it is though.

When you are given the answer that your teacher/site says is correct please share it with us.