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natka813 [3]
3 years ago
5

Applied to the graph of y= 1/x

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

y = -3/(x-4) - 2

Step-by-step explanation:

3*y(x) vertically stretches <em>y</em> by a factor 3

-y(x) reflects <em>y</em> over x-axis

y(x-4) translates <em>y</em> 4 units to the right

y(x) - 2 translates <em>y</em> 2 units down

Applied the transformations we get:

y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2

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a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, un
SashulF [63]
The distance travelled by an object at time t is given by: d = stwhere d is the distance, s is the speed and t is the time.
Given that the cheetah travels a maximum of 70mph, the distance travelled by the cheetah travelling at 70mph at time t is given by d = 70t
There are 60 mins in one hour, so the distance given in miles per minutes is d = 70/60t = 1.167 miles per minutes.


Part B:
Given that t = 10 minutes, the distance covered by the cheetah in 10 minutes is d = 1.167 x 10 = 11.67 miles.


Part C:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the first 8 minutes is given by
d = 1.167 x 8 = 9.33 miles.


Part D:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the second 8 minutes is given by
d = 40/60 x 8 = 5.33 miles


Part E:
The distance the cheetah traveled in the first 8 minutes more than in the second 8 minutes is given by
9.33 miles - 5.33 miles = 4 miles.


Part F:
The ratio of the distance travelled in the first 8 minutes to the distance travelled in the next minutes is given by
9.33 : 5.33 = 1.75 : 1.
Therefore, the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.

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Answer:

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