ANSWER AS SOON AS POSSIBLE PLEASE! Jessica has $19. She buys 4 apples for x dollars each. Levi has $30 and buys 7 apples for x dollars each. Write an expression of how much money altogether they would have left?

This is the same as -11x+49

Explanation:

1 apple = x dollars

4 apples = 4x dollars, after multiplying both sides by 4

If Jessica buys 4 apples, then she spends 4x dollars.

Jessica has $19, so she'll have 19-4x dollars leftover after buying those four apples.

Similarly, Levi will have 30-7x dollars leftover when buying 7 apples for x dollars each.

Add up the leftover amounts to get...

(jessica's leftovers) + (Levi's leftovers)

(19-4x)+(30-7x)

19-4x+30-7x

(19+30)+(-4x-7x)

49-11x

This is the same as -11x+49 since you can think of 49-11x as 49+(-11x), and we can add two terms in any order we want.

An alternative viewpoint

Pool up Jessica's and Levi's amount they start with to get 19+30 = 49 dollars

Jessica buys 4 apples and Levi buys 7 apples. In total, this is 4+7 = 11 apples. At x dollars an apple, they spend 11x dollars. So they'll have 49-11x dollars leftover after buying those 11 apples.

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: