A number line showing which is longer 4/6 yards or 5/7 yards
1 answer:
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Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If , the function is shifted up "k" units.
2. If , the function is shifted down "k" units.
3. If , the function is shifted left "k" units.
4. If , the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
And the function "g" intersects the y-axis at:
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
Answer:
Trampolinist will land on the trampoline after 0.9 seconds.
Step-by-step explanation:
The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.
We have to find the time when trampolinist lands on the ground.
That means we have to find the value of 't' when h(t) = 15 - 13 = 2
[Since trampoline is 2 feet above the ground]
When we plug in the value h(t) = 2
2 = -16t² + 15
2 + 16t² = -16t² + 16t² + 15
16t² + 2 = 15
16t² + 2 - 2 = 15 - 2
16t² = 13
t =
t ≈ 0.9 seconds
Therefore, trampolinist will land on the trampoline at 0.9 seconds.