Answer:
(3x+2)(3x+2)
Step-by-step explanation:
9x²+12x+4 Find two numbers that multiply to 9 and to other numbers that add to 4.
This numbers would be 3 and 2.
Since the 9 has an x², the 3 must be put with the x. Also the 2 must be positive because of all of the numbers being positive.
(3x+2)(3x+2)
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Answer:
2 a^3 b ^3/4 * 3^1/2
2 a^3 b ^3/4 9^ 1/4
Step-by-step explanation:
(144 a^12 b^3) ^ (1/4)
Rewriting
12 ^2 ^1/4 a^12^1/4 b^3^1/4
We know a^b^c = a^ (b*c)
12 ^ 1/2 a^3 b^3/4
(4*3) ^ 1/2 a^3 b^3/4
We know (ab)^c = a^c * b^c
4^1/2 * 3^1/2
2 a^3 b ^3/4 * 3^1/2
Rewriting 3 as 9 ^ 1/4
2 a^3 b ^3/4 9^ 1/4
Combinations possible = 25 * 25 * 25. Product rule
The point is that numbers can be reused. 1 5 1 is a valid combination as is 4 4 4
20 * 5 * 1 is a valid combination as is 1 25 5
So the answer is 15625 "combinations" are possible <<<<< answer
Answer:
The number of ways to award the prizes if it satisfies the given conditions is 94,109,400.
Step-by-step explanation:
There are 100 tickets that are distributed among 100 different people.
Four different prizes are awarded, including a grand prize.
The selection of the four wining tickets can be done using permutations.
Permutation is an arrangement of all the data set in a specific order.
The formula to compute the permutation of <em>k</em> objects from <em>n</em> different objects is:
In this case we need to compute the number of selection of the 4 winning tickets accordingly from 100 tickets.
Compute the number of ways to select 4 winning tickets as follows:
Thus, the number of ways to award the prizes if it satisfies the given conditions is 94,109,400.
The answer is C.
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