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
The height of the food packet cannot be a negative value, so
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 ![(-\infty , -2], [-2,2], [2,\infty )](https://tex.z-dn.net/?f=%20%28-%5Cinfty%20%2C%20-2%5D%2C%20%5B-2%2C2%5D%2C%20%5B2%2C%5Cinfty%20%29%20)
. 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 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
250 grams because 1 kilogram=1000grams
Answer: 
Step-by-step explanation:
Given
Time is extended from 28 days to 76 days
The percentage increase is given by
Putting values
Thus, the percentage increase in time is
Answer:
The average cost this year = $33,093.75
Step-by-step explanation:
The computation of the average cost this year is shown below:
Given that
The average cost for the last year = $31,250
Increased percentage = 5.9%
Based on the above information, the average cost this year is
= The average cost for the last year × (1 + Increased percentage)
= $31,250 × (1 + 0.059)
= $31,250 × 1.059
= $33,093.75
Answer:
8189.11
Step-by-step explanation:
If 8900 is 100% and we need to find 15% we would multiply 8900 and 15 then divide by 100 and that equal 1335 so we would then subtract 1335 from 8900 because it is 15% off, which equals 7565, so now 7565 is 100% and we need to add the 8.25% tax, so we multiply 7565 and 8.25 then divide by 100 which equals 625.11 then we add 7565 and 625.11 which equals 8189.11
