It might be 90in
Because it’s asking if the prism below
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
. 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:
8 The victim wasn't mauled by a cougar - Clue 1
20 Dr. Alpha was in the kitchen cooking - Clue 2
-12 The victim had no venomous bites - Clue 3
72 Miss Beta was at the movie theater - Clue 4
14 The victim wasn't electrocuted - Clue 5
14 Coach Omega was sleeping at the atrium - Clue 6
-8 The murder did not include a firearm - Clue 7
-12 Mrs.Gamma was doing yoga at the gym - Clue 8
169 The murder wasn't drowning - Clue 9
-274 Mr.Epsilon was swimming laps at a pool - Clue 10
is what i know, i will figure out in a bit! :D
Step-by-step explanation:
Answer: The second number is 26
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Let's call:
x: The first even number.
x+2: the second consecutive even number.
x+4: the third consecutive even number.
2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

3. Substitute the value obtain into x+2. Therefore, the second number is:
