Answer:
=−3x+42
Step-by-step explanation:
Let's simplify step-by-step.
−4(x−7)+x+14
Distribute:
=(−4)(x)+(−4)(−7)+x+14
=−4x+28+x+14
Combine Like Terms:
=−4x+28+x+14
=(−4x+x)+(28+14)
=−3x+42
Answer:
Convergent
Step-by-step explanation:
This is an alternating series where bn = 2n / eⁿ. Apply the alternating series test:
lim(n→∞) bn
= lim(n→∞) (2n / eⁿ)
Use L'hopital's rule:
= lim(n→∞) (2 / eⁿ)
= 0
For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.
Therefore, the series converges.
Answer:
5:2
Step-by-step explanation:
There are 5 apples and 2 cherries. Put them together to get 5:2.
