B is the general term of this progression.
Awe, I wish I could help!!
Factoring out x
x(-3x^2+15x+42) now factor parenthetical expression
x(-3x^2+21x-6x+42)
x(-3x(x-7)-6(x-7))
x(-3x-6)(x-7) we can factor out -3 from first parentheses
-3x(x+2)(x-7)
Answer:
<u>The average speed coming home was 63.27 miles per hour</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed from home to Maine = 58 miles per hour
Time of the first leg of the trip = 3 hours or 180 minutes
Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes
2. What was my average speed coming home?
Let's calculate the distance from home to Maine, this way:
Speed = Distance/Time
Distance = Speed * Time
Distance = 58 * 3 = 174 miles
Now, let's calculate the speed of the second leg, as follows:
Speed = Distance/Time
2 hours 45 minutes = 2.75
Speed = 174/2.75
<u>Speed = 63.27 miles per hour</u>
Answer:
You calculate the derivative of a given function f(x), f'(x), and see when it is positive:
f'(x) > 0
It will give you an interval of values where the slope is positive.
