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Answer:
C. 70
Step-by-step explanation:
In the expansion of (a + b)^n, the k-th term is ...
nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)
Here, we have n=8, k=4, so the term of interest is ...
8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4
The coefficient of the term is 70.
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Combining like terms in the given expression makes it simplify to ...
(2x -18x) +(14y) +(9 -10) = -16x +14y -1
We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:
- 2x -18x +14y -19 = -16x +14y -19 . . . not the same
- -2xy -1 . . . not the same
- 16x +14y -1 . . . not the same
- 9 -16x +14y -10 = -16x +14y -1 . . . equivalent
- -16x +14y -1 . . . equivalent and simplified
- 2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Answer: H
Step-by-step explanation:
7% of 21 is 1.47