A store donates 453 laptops to a school. The laptops are divided evenly among the 23 classrooms
2 answers:
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<h3>Answer:</h3>
- -100x +100; 3
- 5x +81; 162
The distributive property is your friend. It tells you ...
a(b + c) = ab + ac
It can also be used to simplify the product of binomials (or other polynomials).
(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2
(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering
1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)
= -100x +100 . . . . . . simplified form
For the purposes of calculation, it can be easier to factor out 100:
= 100 (1 -x)
Then for x = 0.97
= 100(1 -0.97) = 100(0.03) = 3
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2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81
For x = 16.2, this is ...
5(16.2) +81 = 81 +81 = 162
_____
The purpose of the attachment is to show the evaluation is correct.
The recursive formula for the arithmetic sequence is given as follows:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which is the first term.
The recursive formula for the sequence is given by:
In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:
Hence, the recursive sequence is given by:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
More can be learned about arithmetic sequences at brainly.com/question/6561461
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