Answer:
(x + 3)(x - 1)(x + 2)
Step-by-step explanation:
The fractions are:
Factor each denominator
We must find the least common multiple of the denominators. We take the maximum power of each separate factor.
Factors of first fraction = (x + 3) × (x - 1)
Factors of second fraction = (x + 3) × (x + 2)
LCM = (x + 3)(x - 1)(x + 2)
The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).
Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation: Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.
Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.
Let, the park ranger will work for 'x' more hours. So, we have
Thus, the park ranger will need to work for 10 2/3 more hours.
Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.