Alright, so first we need to establish two things.
First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.
Second, we need to find out what B is.
Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.
The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.
The answer, I believe, is <em>two</em>. Hope this helps!
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
10
Step-by-step explanation:
-3x+7x-8=34+9x-2
(Combine like terms)
4x-8=32
(Add 8 to each side)
4x=40
(Divide by 4)
X=10
I thought it was -4 I calculated it and that’s what I got?¿
Answer:
An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental. The slope of the graph is 2.75, which represents the rate, or cost per person. If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75. A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.
Step-by-step explanation:
The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275). Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change. For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person. To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50. In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75. Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.
