Divide both sides
3x+y-6=0
move variable
6x=12-2y
divide
x=2-1/3y
solve
Final answer:
x=2
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
Amount = P + I = 1100 + 330 = £1430
Answer: No
Step-by-step explanation:
It would not make sense to describe the total weight of Mark's dinner in tons. A ton is equivalent to 2000 pounds, which is 600 pounds heavier than what was considered the world's heaviest man. Depending on the context of the problem, I doubt Mark is eating such large amounts of food.
Step-by-step explanation:
∑ₙ₌₀°° n! xⁿ
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! xⁿ⁺¹] / (n! xⁿ)│
L = lim(n→∞)│[(n+1)! / n!] (xⁿ⁺¹ / xⁿ)│
L = lim(n→∞)│(n+1) x│
L = ∞
The series is divergent for all values of x.
∑ₙ₌₀°° xⁿ / n!
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / (xⁿ / n!)│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] (n! / xⁿ)│
L = lim(n→∞)│(xⁿ⁺¹ / xⁿ) [n! / (n+1)!]│
L = lim(n→∞)│x / (n+1)│
L = 0
The series is convergent for all values of x.
