Answer: 49
Step-by-step explanation:
The missing constant term in the perfect square is 49.
x^2 + 14x + 49
We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.
Answer:

Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = 
Cost of food for
people = 
Total cost = $1000 + 
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:

Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
Answer:
i added an attachment of the graph :)
Step-by-step explanation: