Sixteen less than one-fourth of a number is equal to -20. find the number. explain how did you get the steps

The number is -16

Step-by-step explanation: We start by assigning a letter to represent the unknown number. Hence, let the number be y.

One fourth of a number, or in this case, one-fourth of y, can also be written as 1/4 times y. That can now be expressed in its simplest form as

y/4.

Sixteen less than one-fourth of y, can also be re-written as

y/4 - 16.

Therefore if the question says, “sixteen less than one-fourth of a number is equal to -20...” we can now write out the question as follows

(y/4) - 16 = -20

For the left hand side of the equation we can find the LCM as 4, and that can now be written out as

(y - 64)/4 = -20

By cross multiplication we now have

y - 64 = -20 (4)

y - 64 = -80

Add 64 to both sides of the equation

y - 64 + 64 = -80 + 64

y = -16

Therefore the unknown number is -16

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:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: