A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times
1 answer:
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>
Where, "r" is the radius and is a constant equal to 3.14
Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5
Thus the horse traveled 439.6 feet after walking around the track 5 times
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Answer:
Options (1), (2), (3), (6)
Step-by-step explanation:
Given functions are,
f(x) =
h(x) =
Option (1)
y-intercept of function 'h',
x = 0,
h(x) =
= 5
So y-intercept is (0, 5)
True.
Option (2)
Domain of function 'h' is (-∞, ∞)
True
Option (3)
As x approaches ∞, h(x) approaches ∞.
True.
Option (4)
For x intercept,
h(x) = 0
2x = (-5)³
2x = -125
x = -62.5
So the x-intercept is (-62.5, 0)
False.
Option (5)
Range of the function 'h' is (-∞, ∞)
False
Option (6)
As x approaches to -∞, h(x) approaches to -∞.
Since, range of the function is (-∞, ∞), given statement is true.
Therefore, Options (1), (2), (3), (6) are correct.