Which of the expressions are equivalent to the one below? Check all that apply.
7.(6+3)
O A. 7.6+7.3
I B. 7.3 +7.6
O C. 7.9
1 D. 7.18

Step-by-step explanation:

The distributive property and the commutative property of addition both apply here.

  Distributive property: a(b+c) = ab +ac

For a=7, b=6, c=3, this becomes ...

  7(6+3) = 7·6 +7·3 . . . . . matches A

The commutative property of addition says ...

  a + b = b + a

For a=7·6 and b=7·3, this becomes ...

  7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B

Of course, the expression can be partially evaluated:

  7(6 +3) = 7·9 . . . . . matches C

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.