Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
----› Equation 1
-----› Equation 2
Substitute y = (x + 2) in equation 1
----› Equation 1
(substitution)
(distributive property)
[Note: this is where Carolyn made a mistake]
Collect like terms
(addition property of equality).
Substitute x = 11 in equation 2
-----› Equation 2
(substitution)
✅The solution to the system of equations would be:
(11, 13)
If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with
).
Answer:
A8 = 66 [8th term]
Step-by-step explanation:
Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)
To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.
So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.
300-30.3=269.7 because you barrow from 3 in 300 because you can't round into 0 and that equalled 7 and than you do 9-0=9 and there's 009.7 than you do 9-3=6 and that's 069.7 and you do 2-0=2 and there's 269.7
