If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
1 answer:
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Answer:
A. a parabola that opens down.
Step-by-step explanation:
First we can eliminate two answers, b and d, since parabalas that open left or right use the y variable.
Now the equation of a standard parabola is x². This means that there are no negative y values, and therefore it cannot open down, it is up.
With a NEGATIVE coefficient, the graph is flipped over the x axis, therefore making it open down.
Graphical proof is attached for further understanding, positive a is in red, negative a is in blue.
Answer:
- The car's rate in kilometers per hour is 108 kilometers per hour
- The car will travel 540 kilometers in 5 hours
Step-by-step explanation:
Here is the complete question:
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not round your answers.
Step-by-step explanation:
- To determine the car's rate in kilometers per hour, we will convert 30 meters per second to kilometer per hour.
1000 meters = 1 kilometer
∴ 1 meter = 0.001 kilometer
3600 seconds = 1 hour
∴ 1 second = 1/3600 hour
Therefore,
=
=
= 108 kilometers / hour
Hence, the car's rate in kilometers per hour is 108 kilometers per hour.
- To determine how many kilometers the car will travel in 5 hours, that is we are to determine the distance covered by the car in 5 hours.
From the formula
Speed = Distance / Time
∴ Distance = Speed × Time
(NOTE: Speed is also known as rate)
Speed (Rate) = 108 kilometers / hour
Time = 5 hours
∴ Distance = Speed × Time gives
Distance = 108 × 5
Distance = 540 kilometers
Hence, the car will travel 540 kilometers in 5 hours.