Which inequality is represented by the graph?
1 answer:
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Answer:
The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.
Step-by-step explanation:
The function for the height of the bottle rocket (in feet), <em>t</em> seconds after it is launched is:
Compute the value of <em>t</em> as follows:
Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.
Now, for z to be an integer, the sum x+y must be a divisor of 10.
It has to be a positive divisor since z≥0. Also x≠y.
x≥0 and y≥0 so y can be equal to either 0 or 1. There are 2 solution in this case.
In this case, y can be equal to 0,1, or 2, but for y=1 ⇒ x=1, so there are two solutions.
y can be 0,1,2,3,4 or 5 - 6 solutions
y can be 0,1,2,3,4,5,6,7,8,9,10, but for y=5 ⇒ x=5, so 10 solutions.
2+2+6+10=20 solutions in total.