Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
Jennifer's speed is 2.4 miles/hour
Kamlee's speed is 2 miles/hour
Step-by-step explanation:
To find their speed,
Speed can be determined from the formula below,
Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)
For Jennifer,
Distance = 4/5 miles
Time = 20 mins (Convert to hour)
∴Time = (20/60) hour = 1/3 hour
Hence,
Hence, Jennifer's speed is 2.4 miles/hour
For Kamlee,
Distance = 5/6 miles
Time = 25 minutes (Convert to hour)
Time = (25/60) hour = 5/12 hour
Hence,
Hence, Kamlee's speed is 2 miles/hour
