A constant is a number that stays the same no matter what any outside variables are. In this case, the variables are the number of hours of the event and the number of attendees. However, it states in the problem that the event will be 5 hours so that becomes known; the only thing that might change is the number of attendees so you can eliminate any cost that will be affected by that. You are left with Facility Rental, Musical Entertainment, and Cleaning Fee. Furthermore, you can be sure that Musical Entertainment and Cleaning Fee must be included in the constant because they are described as "flat rates", which means they do not change.
The answer is D) It is the total cost for entertainment, facility rental, and cleaning.
Hope this helps!
Answer:
Hi there!
The first one is not a function because it crosses twice using the vertical line test while the second one is a function.
Step-by-step explanation:
Answer:
x = 3
Explanation:
To simplify this equation, don't worry about the -3, since there is one on both sides. Therefore, they cancel out.
So, 9 + x = 4x
When you plug 3 in for x, it becomes:
9 + 3 = 4 x 3
12 = 12
This equation is true, therefore, x is your answer!
Answer:
x = 20
Step-by-step explanation:
the angles shown are supplementary
supplementary angles add up to 180°
hence, 5x - 7 + 3x + 27 = 180
==> combine like terms
8x + 20 = 180
==> subtract 20 from both sides
8x = 160
==> divide both sides by 8
x = 20
