General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
![x\geq 0](https://tex.z-dn.net/?f=%20x%5Cgeq%200%20)
The height of the food packet cannot be a negative value, so
![f(x)\geq 0](https://tex.z-dn.net/?f=%20f%28x%29%5Cgeq%200%20)
We need to replace
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals
. We need to pick test point from each possible solution interval and check whether that test point make the inequality
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is ![-200\leq x\leq 200](https://tex.z-dn.net/?f=%20-200%5Cleq%20x%5Cleq%20200%20)
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is ![0\leq x\leq 200](https://tex.z-dn.net/?f=%200%5Cleq%20x%5Cleq%20200%20)
Answer:
Centroid
Step-by-step explanation:
is it right please tell me down below thank you
Your answer would be 11a-6 because when you subtract 12a-9a you get 3a and the you add 8a-6 it would equal 11a-6
1/8; say you have one whole pie, cut into fourths, than take one fourth, or one quarter, and cut that in half, it's the same as if you cut the whole pie in half than cut those halfs in half, making quaters, than cutting them in half, making a pie thats cut in eights, each slice is 1/8, one eight