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Jill is trying to prove the following number trick: Choose any number. Add 3. Double it. Add 4. Divide by 2. Take away the number you started with. Each time Jill tries the trick, she ends up with 5. Clearly demonstrate a proof by:

a) inductive reasoning:

b) deductive reasoning:

A. Expand each power using Properties I to V.

1.) (c+d)^5

2.) (x-y)^4

3.) (3-x)^4

4.) (u-v)^8

5.) (3b+y)^5


B. Find only the first three terms in the expansion.

1.) (a+20)^14

2.) (c+y)^k


C. Compute each factorial expression.

1.) 6!

2.) 8!

3.) 3!4!


Where and how are base 60 numbers still used

Which equation represents the graphed function?

y = –2x + 3

y = 2x + 3

y = x + 3

y = –x + 3


If f(x) = 2x3 – 3x2 + 7x + 1, what is the value of f[1, 2, 3, 4]?


If f(x) = 2x3 – 3x2 + 7x + 1, what is the value of f[1, 2, 3, 4]?


Derive the value of a3+b3 from ( a+b)3 and what is the relation between (a+b)2 and( a-b) means find the solution of (a+b)2 in form( a-b)


An office building contains 27 floors and has 37 offices

on each floor. How many offices are in the building


Let a, b, c, d be a set of real numbers, show that a²+b²+c²+d²=1

If


a²-1 ab ac ad

ba b²-1 bc bc

ca cb c²-1 cd

da db dc d²-1


equal to zero.





when cost of petrol rises 25%, consumption is reduced by 16%. find % change in expenditure


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