Mathematics, 19.10.2021 08:10 perezsamantha3oqr0za

The larger of two numbers is two more than five times the smaller number. If the sum of the two is 80, find both numbers. I don’t understand this math question at all!

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Answer from: alexis9263

Smaller number = 13

Larger = 67

Step-by-step explanation:

(13 x 5) + 2 = 67 + 13 = 80

Answer from: mp515

So let’s start by turning this into an equation

We know that the sum of the two numbers equals 80, so we’ll put it as s (smaller) + l (larger) = 80

We know that l is 2 more than 5 times s

s x 5 + 2 = l

Now if we go through some numbers to replace s with, we can make an equation by finding a number that fits the equation, in this case s would equal 13

s + ((s x 5) + 2) = 80
13 + ((13 x 5) + 2) = 80
13 + (65 + 2) = 80
13 + 67 = 80

So our smaller number would equal 13
And our larger number would equal 67

Hope this helped! I find that it’s a lot of trial and error with this method but it’s very simple :)

Answer from: Quest

idk im srry

step-by-step explanation:

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: