Or your trip and
time. the second
ourth day, you
19. you planned a trip with your best friend. you had only four days for your tri
planned to travel. x hours each day.
the first day, you stopped for sightseeing and lost two hours of travel time,
day. you gained one hour because you did not stop for lunch. on the thind day, von
eled well into the night and doubled your planned travel time. on the fourth dan
traveled only a fourth of the time you planned because your friend was sick. you av
45 miles per hour for the first two days and 48 miles per hour for the last two day
a. how many hours, in terms of x, did you travel the first two days?
sick. you averaged
b. how many hours, in terms of .x. did you travel the last two days?
c. express the total distance, d. traveled over the four days as an equation in terms of
simplify the equation. recall that distance = average rate. time.
d. write an equation that expresses the total distance, y, you would have traveled had
you traveled exactly whours each day at the average speeds indicated above. simplifu
the equation.

3

step-by-step explanation:

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

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: