[] signs mean that the number is included in the domain and () mean that the number is not included. Now,
1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded
2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.
3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.
4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.
5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.
If I were you, I would search it up on VirtualNerd but you first undo using the opposite of PEDMAS and if you divide or multiply with a negative integer, the direction of the inequality thing in the middle of the equation switches directions.
Answer:
Value of h greater than 5.4 will make inequality false.
Step-by-step explanation:
This question is incomplete; here is the complete question.
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?
From the given question,
Per night expense (expected) = $125
If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h
Charges for scuba diving = $75
Total charges for stay and scuba diving = $(125h + 75)
Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,
125h + 75 ≤ 750
125h ≤ 675
h ≤ 
h ≤ 5.4
That means number of days for stay should be less than equal to 5.4
and any value of h greater than 5.4 will make the inequality false.
we are given
geometric sequence -36, 6, -1, 1/6, ...
first term is -36

now, we can find common ratio


now, we can find nth term

now, we can plug values
and we get

now, we can find 5th term , 6th term, 7th term
fifth term:


sixth term:


seventh term:


so, next terms are
, 
,
.............Answer
The answer should be 42 times.