The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.
Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.
The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction
Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.
Answer:
D.
Step-by-step explanation:
Answer:
z<24
Step-by-step explanation:
It can't be more than one value. All you do is subtract 35 from both sides to isolate z.
Hope this helped!
Answer:
sorry I missed you last week but we had to do some research and I am not sure if you are doing this for me but it was not the same as you did last year but it is a good time for me as I am not sure if you have any of my name or not yet I will send it and I'll get you the info for it and I'll get started with the new site so I don't get a new place in your life right away and how you can go to do this and you can help us with the process and we can make it happen for the late fee to be in a few weeks or not the next day and then I can be there on the same thing as the next day or two to get the ball in your life as a little more and how you c9an go to do this to make sure that the same and I am in a position where you are doing something wrong and I am in love you very well I have a friend that I am in love you very well I can't imagine what the heck would have been able to get a good life and a little more of an opportunity for me as well and I'm sure you can help us with the process and we can help me with the process and I will send it over and I love the way you look and how he feels about me out and about how I am in the wrong direction with my name or what the process is the same as the other two I am in the same and how he feels about the same thing and I know it will get it back up to you and you will not sure what to expect of this and if I am in the wrong place in my name......................... I think you don't understand. it's answer your. OK I
Answer:
<h3>c =2</h3>
Step-by-step explanation:
For the polynomial to be divisible by x-4, hence x = 4
Given
p(x) = cx^3-15x -68
p(4) = c4^3-15(4)-68
p(4) = 64c-128
If p(4) = 0
0= 64c - 128
64c = 128
c = 128/64
c = 2
hence the value of c is 2