Answer:
= - 4n - 10
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₈ = - 42 and a₁₆ = - 74 , then
a₁ + 7d = - 42 → (1)
a₁ + 15d = - 74 → (2)
subtract (1) from (2) term by term to eliminate a₁
8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )
d = - 4
substitute d = - 4 into (1) and solve for a₁
a₁ + 7(- 4) = - 42
a₁ - 28 = - 42 ( add 28 to both sides )
a₁ = - 14
Then
= - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10
Answer: $20
Sandy had 138 dollars to spend on 6 books. After buying them she had 18 dollars. How much did each book cost? 20 dollars.
Answer:
Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)
Step-by-step explanation:
If a variable is common to all terms of an expression, it can be factored.
14m + 21pm - 35mq
Here, m is common to all terms of the expression, so the factored expression is:
Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)
Answer:
9
Step-by-step explanation:
9v = 9(2i + 9j) = 18i + 81j
|9v | = 
= 
= 9
