Answer:
1.) a
2.) ?
Step-by-step explanation:
The answer for this question would be <span>x + 7y > 3. You can figure this out because it is GREATER THAN. If it was greater than or equal to then the line would be solid (same with less than or equal to).</span>
Answer:
x = 152.6
Step-by-step explanation:
180 - 27.4 there you go
Answer:
To find the value of this expression you need to add and subtract from left to right
74.9+5.23-81.4-16 (add the first two, first)
80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)
-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)
-17.27 (-1.27-16=-17.27)
-17.27
Hope this helps ;)
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
