Response:
1. Closure
2. Distributive
3. Closure
Detailed explanation:
In this scenario, we are examining the properties that each equation demonstrates.
The first equation shows the closure property.
This indicates that whether we add in one direction or the other, the result remains unchanged. Therefore, we conclude that addition conforms to the closure property in this case.
The third equation also shows the closure property. Regardless of how we approach the addition for this equation, the outcome remains consistent.
The second equation displays the distributive property.
Each element within the parentheses is multiplied by the negative sign before we proceed with further calculations.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
(4 – 2i)(6 + 2i)
Use FOIL
First: 4 multiplied by 6 equals 24
Outer: 4 times 2i gives 8i
Inner: -2i times 6 results in -12i
Last: -2i times 2i equals -4i², which simplifies to 4
Combine the results
24 + 8i - 12i + 4
Final result: 28 - 4i
The answer is: 28 - 4i
Answer:
The profit margin associated with the concert sponsorship is 31.3725 %
Step-by-step explanation:
The arena earns $1700 for a single event
Consequently, for 12 events, the arena gains 
The total for 12 events equals 20400
The expenses for this sponsorship amount to $14,000
Thus, profit = 20400-14000
This calculates to profit =6400
To find the profit margin =
Profit margin is defined as 
Thus, the profit margin for the concert sponsorship is 31.3725 %
