Function questionread the graph then solve
1 answer:
Answer:
- g(5x) = 0
- x = -10
Step-by-step explanation:
Do what your instructions say: read the graph and solve.
1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)
Then 5x = 5·(-2) = -10. To answer the question, you need to find the value of g(-10). Look where the graph crosses the vertical line at x=-10. It is at y=0, so ...
... g(5x) = g(-10) = 0
2. You already found the answer to this when looking for the answer to the first question. g(x) = 0 when x = -10. (See the second attachment.)
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Answer is 3 seconds
When the bullet reaches the ground, ground being x in graph (and here its s which is = 0)
s = -16t^2 + 48t
s = 0, solve for t
0 = -16t^2 + 48t
0 = t ( -16t + 48)
0 = 16t ( - t + 3)
now you have two equation
0 = 16t and 0 = -t +3 ( you can look at the graph line touches x twice)
0 = 16 t
0 = t ( you know its false, because time = 0)
You are left with
0 = -t + 3
t = 3
It takes 3 seconds for the bullet to return to the ground.
// Hope this helps.
