Answer:
B. Negative two-fifths (-2/5)
Step-by-step explanation:
1. Change the second number into a fraction if it isn't already.
2. Find the reciprocal of the divisor, or second fraction.
3. Multiply the numerators together.
4. Multiply the denominators together.
5. Simplify the answer if possible.
6. Determine if the answer is positive or negative using the sign rules.
Show your work:
-4/5 divided by 2/1
-4/5 divided 1/2
-4 * 1 = -4
5 * 2 = 10
Simplify:
-4/10 = -2/5
60 Mi/h is faster than 80 km/h
11x + y = -28
Make sure to always remember that you can't have any fractions or decimals in standard form.
Standard form is basically
Ax + By = C
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.