# Posts by Francesca

Total # Posts: 154

**Discrete Math**

Last thing I want to ask. . . 5x ≡ 5(mod 25) Is there an easier way to derive to the answer. Because I believed I learned the long version. This is what I know: The possible values are 0, 1, 2, 3 . . .24 5(0) - 5 = -5 not divisible by 25 5(1) - 5 = 0 not divisible by 25 ...

**Discrete Math**

I am too guilty of double posting disregard above 11:51

**Discrete Math**

Yea I was thinking that too, that it is the same thing,but I will double check with the teacher. So,With respect to congruence mod 29, 17 ∩ 423 = ∅ would be considered false, right?

**Discrete Math**

OK. . .If you don't mind how about the these two too: • With respect to congruence mod 29, 17 ∩ 423 = ∅ (True) •If ac ≡ bc(mod n), and gcd(c, n) = 1, then a ≡ b(mod m) (True)

**Discrete Math**

I think I found something about the overbar _ a <--- equivalence class of a _ b <---equivalence class of b

**Discrete Math**

Could you tell me if I am correct in thinking: • With respect to congruence mod 29, 17 ∩ 423 = ∅ (True) • Let a, b, and n be integers with n > 1. Then a ≡ b (mod n) ⇔ a = b (False) •If ac ≡ bc(mod n), and gcd(c, n) = 1, then a &#...

**Discrete Math**

Hmmm...I kind of get what you are saying, but why is 18 not a set that does not include 2? Here is an example in the book that is true: _ 55 ∈ 7 (mod 3) _ 7 (the line goes over 7 in the above) Why would this be considered true?

**Discrete Math**

2 ∈ 18 (mod 8) It is true though, right?

**Discrete Math**

So, this would read as : _ __ 2 = 18 (mod 8) Meaning this would be considered true, right?Because 18/8 = 2, and then 8 · 2 = 16, making the remainder 2. This might sound silly, but what does the symbol at the top of the number mean? _ 2

**Discrete Math**

Congruence True or False: (give reason) _ __ 2 ∈ 18 (mod 8) Can someone please help with this problem? I'm confused. . . Thanks for any helpful replies.

**Math**

Let f(x^2/3). Find f(S) if S = {1,5,7,11}.

**Discrete Math**

Hi, I need help with interpreting a figure. You can find it one photobucket. First, type in flutegirl516 in the search bar and then click on the message that says: "Are you looking for the Photobucket user flutegirl516? Click here to see this user's profile" I ...

**Discrete Math**

Okay thank you for the clarification :)

**Discrete Math**

So, how would F ° h ° G be defined? It seems the domain is A and the range is C, right? But why does it exist? Does it exist because it can be proven using sample problems or it it because of the figure and the direction of the arrows? IDK. That's what I am having ...

**Discrete Math**

Thank you for replying. So if this question makes any sense: How do you know I must start with G first? It makes sense because it actually works when I create samples, but it seems that I am working backwards, why is that? But I think I am kind of following. . .

**Discrete Math**

So, I uploaded the figure in photobucket, and if you type flutegirl516 in the search bar you will see it's the first photo. F:B→C, h:C→B, and G:A→C Is F°h°G defined? If so, what is its domain and range? Yes it is defined. And I thought that the ...

**Discrete Math**

Okay thank you

**Discrete Math**

I received that picture from my teacher. . .that's what she says is correct. That's why I am so confused. . .I didn't just make that up. . .So I really don't know what to follow, but I guess if I want to get a good grade I better just go along with the teacher...

**Discrete Math**

So, if A = (1, 2, 3) and B = (4, 5, 6) f: A -> B => {(1, 4), (2, 5), (3, 6)} g: B ->A => {(4,1), (5,2), (3,6)} g ° f = {(4,4), (5,5), (6,6), so g ° f = B right? And the domain and range are equal. But I'm still sure how it is defined? When finding the ...

**Discrete Math**

So, if A = (2,4,6) and B = (21,42,52) g : B -> A, wouldn't g = {(21,2), (42,4),(52,6)}? Is g ° f defined because it is one-to-one?

**Discrete Math**

Can you give an example using numbers?

**Discrete Math**

f: A→B, g :B→A Is g ° f defined? If so, what is its domain and range? Any suggestions?

**Physics**

Figured this one out already had to use the equation: x = v₀x√(2h/g)

**Physics**

An archer shoots an arrow horizontally at a target 14 m away. The arrow is aimed directly at the center of the target, but it hits 59 cm lower. What was the initial speed of the arrow? So, I am trying to find find v₀x. . .

**Discrete Math**

Also thank you for the time you took out to help me :)

**Discrete Math**

Oh okay we posted at the same time. . .You were such a big help! I really understand this stuff a lot better. Thank you a thousands times!

**Discrete Math**

How about this? Let f: A→B be a function from A to B. f = {(w, 1), (x, 2), (y, 3), (z, 2)}. Find f^-1. Answer: f^-1 = {(1, w), (2, x), (3, y), (2, z)} So would this one not have an inverse?

**Discrete Math**

Hey, I know I said the previous would be the last one but can you check this one too. . . Let f: A→B be a function from A to B. f = {(w, 1), (x, 2), (y, 3), (z, 2)}. Find f^-1. Answer: f^-1 = {(1, w), (2, x), (3, y), (2, z)}

**Discrete Math**

Oh it looks strange b/c they all end in zero. Just noticed. . . Is this correct? f ° g ° h = {(1,1), (2,2), (3,1), (4,2)

**Discrete Math**

They appear a little strange. . .how so? The h² does not effect the answer at all? OK so last one f ° g ° h. . .I will attempt now, and check back and see if I am on the right track. . .

**Discrete Math**

Lol. . .But really Thank You! You are really helping me to understand. I know you are probably annoyed by my silly questions, but I am really starting to get a better understanding. Ok so would h ° h = {(1,1), (2,1), (3,1), (4,1)}? But the h² is throwing me off.

**Discrete Math**

Is this correct? g ° h ={(1,2), (3,1), (1,2), (4,3)}

**Discrete Math**

There is something not connecting in my thought process. I'm still confused with g ° h does it = {(1,2), (3,1), (1,2), (4,3)}? I feel way off. . .I am doing something terribly wrong. IDK

**Discrete Math**

So is this correct? g ° f = {(1, 4), (2, 2), (3, 2), (4,3)}

**Discrete Math**

Here are the functions from the figures: • f(x) = {(1, 2), (2,1), (3,1), (4, 4)} • g(x) = {(1, 2), (2,4), (3, 1), (4, 3)} • h(x) = {(1, 1), (2, 3), (3, 1), (4, 3)}

**Discrete Math**

"There are two 1s in the range of f(x) though (1,2) **I meant to say (2,1)** and (3,1). . .Does that mean anything?" Anyway, scratch this statement of the previous post. . .

**Discrete Math**

Ok so g ° f = {(1, 4), (2, 2), (3, 2), (4,3)} There are two 1s in the range of f(x) though (1,2) and (3,1). . .Does that mean anything? Is this correct: Does g ° h = {(1, 2), (2?, 2?), (3, 2), (4, 1)}? For this one there was no 2 in the range of h. Also, for h^2 = h &...

**Discrete Math**

ooOo I think I get it now. . .

**Discrete Math**

I'm using the search bar at the very top right-hand corner, then I enter: flutegirl516. It will say no matches found, but it will say: Are you looking for the Photobucket user flutegirl516? You can also try using the search bar drop down menu and clicking on "Users,&...

**Discrete Math**

I read the the link you provided previous to posting this discussion, but I was still confused.

**Discrete Math**

Well, I am suppose to find the composition of functions from a figure. If you don't mind I uploaded a photo of it on photobucket. Can you take a look, and offer any suggestions for the first problem, so that I can get an idea? Since this forum will not let me post a link I...

**Discrete Math**

Find g ° f f(x) = {(1, 2), (2,1), (3,1), (4, 4)} g(x) = {(1, 2), (2,4), (3, 1), (4, 3)}

**Discrete Math**

ok thank you!

**Discrete Math**

Determine the domain and range of: y = 5 – [1/ (1 + x)] So, would the domain be all real numbers except -1? And would the range be all real numbers except zero? I'm really confused. . .

**Discrete Math**

OK Thank you!

**Discrete Math**

Find the inverse of f: R→R given by f(x) = x³ – 2

**social studies**

what are the best desciiptions of both push and pull facors?

**Geometery**

I need to know the laws of triangle inequality. i need help what is triangle in equality?

**Social Studies**

I heard of them but i'm not exactly sure about them.

**Social Studies**

I think it is 1. But i'm not sure if choice 2 refers to the Byzantine Empire, which in that case, I think it would be 2.

**Social Studies**

The effectiveness of Roman rule can easily be seen in the fact that the fall of Rome led to 1) political chaos and economic collapse in western Europe 2) the rapid rise of a new European empire

**World History**

By the way, my friend Jonathon, thinks it's 2. What do you think?

**World History**

Yes this is a multiple question. I think the answer is choice 1 but im not sure. - Francesca

**math**

sign a pastition