PLEASE HELP! I will mark brainliest!
1 answer:
Answer:
D
Step-by-step explanation:
Instead of going through each of the table, let's create one ourselves.
So, we have the piecewise function:
So, let's create a table of values starting with 2 and skipping the odd numbers until 12.
2:
For 2, since 2 is less than one, plug it into the first equation. Thus:
So, the first value is (2,6).
For 4, since 4 is <em>not</em> less than 4 but rather equal to 4, use the second equation. Thus:
The second value is (4,4).
For 6, the same thing. 6 is greater than 4 so use the second equation:
So the third value is (6,6).
And this pattern will repeat. Therefore, our table of equations is:
x | y
2 | 6
4 | 4
6 | 6
8 | 8
10 | 10
12 | 12
The choice that represents this is D. D is the correct answer.
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It takes 4.3 seconds for the rocket to return to earth.
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Plugging in our information we have:
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where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.