Mathematics, 18.09.2019 08:30 leneenmarshall3125

One month, mr. dalton gave an additional $300 to the church building fund. recommend where to cut the budget for one month to take care of this gift.
total expenditure in each category:
contributions-$600
housing-$725
utilities-$270
household-$445
clothing-$280
automobile-$350
education-$525
medical-$395
insurance-$365
savings-$450
recreation-$105
vacation-$70

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Answer from: 1074885

I'm sure there are a number of different answers possible for this, but reasonably, if it were only a month of budget adjustment I would take $100 out of the clothing allowance because clothes really don't need to be purchased every month. Then I would Take $50.00 from the recreation budget, because that's only for pleasure. After that I would take another $50.00 from household, which may mean cutting a few corners at the store. (That's already $200.) To make the final amount I would just save $100 less that month. Combined all of that would make the $300.
Recap : - $100 clothing
- $50.00 recreation
- $50.00 household
- $100.00 savings
I hope this is the kind of answer you need that will help. It couldn't hurt to get another answer or two.

Answer from: Quest

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Answer from: Quest

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:

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