There are 5 people standing in a room. Rick is 5 times the age of Mike who is half the age of Larry. Ed is 30 years younger than double Larry and Mike’s combined ages. Daniel is 79 years younger than Rick. The sum of their ages is 271. How old is Daniel? PLEAS HURRRYYY

Daniel is 21 years old

Step-by-step explanation:

Let

R ---> Rick's age

M ---> Mike's age

L ---> Larry's age

E ---> Ed's age

D ---> Daniel's age

we know that

The sum of their ages is 271

so

----> equation 1

Rick is 5 times the age of Mike

so

----> equation 2

Mike is half the age of Larry

so

----> equation 3

  ----> equation 4

----> equation 5

substitute equation 2, equation 3, equation 4 and equation 5 in equation 1

simplify

-----> equation 6

substitute equation 2 and equation 3 in equation 6

solve for M

Find the value of R (equation 2)

Find the value of D (equation 5)

therefore

Daniel is 21 years old

table 3 represents a direct variation function. : )

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: