9514 1404 393
Answer:
(A) -7
Step-by-step explanation:
The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.
x^2 +2 = 6x +k . . . . . must be true at x=3
3^2 +2 = 6(3) +k . . . . substitute 3 for x
9 +2 -18 = k . . . . . . . . subtract 18
k = -7 . . . . . . . simplify
2.0e-6
Is the answer to your question
Answer:
1 hour
Step-by-step explanation:
Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.
t/3=t-40
We can multiply by 3
t = 3t -40*3 = 3t - 120
This is equivalent to
3t -120 = t
We subtract t
2t-120 = 0
2t = 120
We divide by 2
t = 120/2 = 60
So this is 60 minutes = 1 hour.
Thank you.
Answer:
Time=2800 seconds.
Time in minutes= 46.67 minutes
Time in hours= 0.778 hours
Step-by-step explanation:
Distance traveled= 70000 m
Rate or speed of travel= 25m/s
To calculate the time for the travel, we multiply the rate of travel by the distance covered or traveled.
Rate= distance/time
Time= distance/rate
Time= 70000/25
Time=2800 seconds.
Time in minutes= 2800/60
Time in minutes= 46.67 minutes
Time in hours = 2800/(60*60)
Time in hours= 2800/360
Time in hours= 0.778 hours
