A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
The function m = F(a) = a/8 gives the distance in inches on a map between two points that are actually a miles apart.
1. Whats if F(50)? What does F(50) represent?
anonymous
 one year ago
The function m = F(a) = a/8 gives the distance in inches on a map between two points that are actually a miles apart. 1. Whats if F(50)? What does F(50) represent?

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0F(a) = a/8 F(50) = 50/8 ... replace each 'a' with 50 F(50) = ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0`The function m = F(a) = a/8 gives the distance in inches on a map between two points that are actually a miles apart` so basically, whatever the value of 'a' is, the output F(a) tells us the distance on the paper map so in this case, a = 50 miles means F(a) = 6.25 inches 6.25 inches on the map corresponds to 50 miles in real life

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok. and how about this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What are the units for the domain and range of the function? What is the domain and range for the function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would the range be x> than the number?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what are some possible values for 'a' ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0a = 50 is one value, what's another?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0sure, we could have some distance be 8 miles we could also have 2 miles, 1.5 miles, 99 miles basically any positive number or 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the domain is x>0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yeah \(\Large a \ge 0\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I forgot the equal to part... Do you think you could help me with two more parts?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0'a' is the input variable (not x this time) remember to underline the `>`

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah I Believe The Domain Is X > 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Find the a in terms of m and lable this new function G. Tell what this function represents?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would this be like a(m)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0in terms of meters?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i guess... It doesn't really say

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0it seems like there's something missing but idk what

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It just says find a in terms of m and label this new function G. Tell what this function represents.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0maybe they just want you to convert to meters

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.01 mile = 1609.34 meters (approximate)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, but I think it's just asking for a in terms of m. This is like functions and inverses

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.01 mile = 1609.34 meters (approximate) a*1 mile = a*1609.34 meters .... Multiply both sides by a. a miles = 1609.34a meters

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok.. Let's try last part then. Determine if F and G are inverses

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But for that we need to find out what a is in terms of m.... :(

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yeah I'm not sure what they want for g(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah... Ugh, this is so aggravating

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let me see if I can figure it out, and If I still can't I'll call you back.. Ok..?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for your help so far though!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just don't get this question... Do you mind leading me through it?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Not at all. You found that the f(50)=6.25, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But from there, I just sorta lost it... I don't get the find a in terms of m thing

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Notice that the problem says that the function gives the distance in inches on a map.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, I didn't think that was really important

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So 6.25 is the distance in inches on a map. Big deal you say.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. I get that much but then I don't

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1And you have a point however, the second part of the question wants an explanation of the significance of 6.25 inches.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. Isn't the significance of it, the fact that you need it to be able to find G

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1And the problem tells us that as well when it says that 6.25 inches is the distance on the map of two cities that are "a" miles apart and "a" in our problem is 50 because our function is f(a)=a/8 and we found f(50).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Like, isn't the 6.25 the value of a? Or have I mistaken this entire thing....?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what can I do to find the domain and range?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So we might say here is a map:dw:1443834662965:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. So 50 is a? correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, and would that be the range...?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.150 miles takes 6.25 inches on the map.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So if a is a number of miles on a map, then a would have to be some positive number, would it not?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. so the range would be any number greater than or equal to zero?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1And that is the domain: the positive real numbers. Similarly, if you divide a positive real number by 8 you get a positive real number so the range is also the set of positive real numbers.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. And how can I find the range?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Did you read my previous post? Similarly, if you divide a positive real number by 8 you get a positive real number so the range is also the set of positive real numbers.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1We would not include 0. Why would we want to represent 0 miles on a map?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the range would be x>0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. So the domain is x=>0 and the range is x>0

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Did you notice what I said about representing 0 miles on a map?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is the difference between the "units for the domain and range" and "what is teh domain and range"

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1"a" represents the members of the domain. According to the problem those numbers represent MILES between cities. f(a) represents the members of the range. According to the problem those numbers represent INCHES on the map.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh that's what the units represent? Correct?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1The units ARE miles and inches.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh wait. To find a in terms of m, would I set it up like this? 50=f(6.25)=6.25/8

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1No. a is the number of miles. Would it be easier for you to use x and y?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes please.. all these variables give me a headache.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Or maybe m for miles and i for inches. We would say that inches = miles/8

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1If we want miles in terms of inches we would say miles = 8(inches)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since 50 is the miles?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1See? inches= miles divided by 8 and miles = inches times 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 6.26=50/8 and 50=6.26/8

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1But your problem uses "a" for miles and f(a) for inches

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.16.25 = 50/8 and 50 = 8(6.25)

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1f(a)= a/8 and a = 8(f(a))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. would that be the function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where is the m though?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1m = f(a) so you can replace f(a) with m

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, and that would still be the same thing?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Yes. In math if two quantities are equal, you can replace one with the other.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh cool, thanks! and are they both inverses? F and G? I would think so because inverses must both be equal to x, right?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1I don't know where you are getting G.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1I don't see it anywhere in the problem you posted.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well the new function must be named G. At least that's what the problem tells me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Find a in terms of m and label this new function G

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Perhaps you should post the entire problem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did. Its a bit farther up. Like in pieces. I am sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is what it says. The function m=f(a) = a/8 give the distance in inches on a map between two points that are actually a miles apart. What is f(50)? What does F(50) represent? What are the units for the domain and range of the new function? What is the domain and range of the new function? Find a in terms of m and lable this new function G. Tell what this function represents. Determine if F and G are inverses

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So a in terms of m is a=8m and the problem said to label this g. So we have g(m)=8m

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oooh. Oh wow, that is what I had originally but I erased it because I thought it was wrong... And this would represent the number of miles, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, and how about the whole inverse thing?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Iam spus , ce tot vorbești ? Acest lucru pare complet ... nu contează . Voi taci acum .

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1If you replace the variable in the function f with x you will get f(x)=x/8. If you replace the variable in the function g with x you will get g(x)=8x. According to the definition of inverse functions, you would get the same thing if they were inverses. We don't get the same thing so they are not inverse functions.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am sorry @SweetBeat but I am afraid we don't understand your question...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, right they both have to be the same thing right?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1@SweetBeat Neither of us know the language you are posting in so we find it very distracting and that is why I keep deleting your posts.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. I was wondering who was doing that.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Yes. The way to find an inverse function is to interchange the variables.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much @Mertsj for all of your help!! i understand this much better now!!!

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So the inverse of m= a/8 is a = m/8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, than you *bows in a grateful manner*

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yeah you just switch them

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1you're very welcome. Good luck.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0One more question... I apologize. But the domain and range would be the x>0 (domain in miles) and x=>0 (range in inches) right? @Mertsj

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just got confused on that one part

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Yes. Very good but typically we use y for range. You might want to use a for domain and m for range since those are the variables used in your problem.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.