Please please please please help me! Will give brainliest to the first reasonable answer!

1)

2) The new mean is 67.33

3) The vertex form is

The vertex for the function is:

4)  The median is 21

Step-by-step explanation:

1) The given function is :

We want to write this function in vertex form:

First we factor 8 from the first two terms to get:

Next add and subtract the square of half the coefficient of the linear term

We factor the perfect square trinomial to get:

2) We have that, the mean of 50 numbers is 68.

This implies that:

Two numbers 82 and 86  were deleted because they are outliers.

The new sum is

Now the new mean is

The new mean is therefore 67.33 to the nearest hundreth

3)

The given function is :

We factor 15 to get:

Add and subtract the square of half the coefficient of x.

The vertex form is

The vertex for the function is:

4)  The given data is in ascending order is 14,16,19,20,21,21,22,23.

The median is 19 because it is the middle number of the array.

The first quartile is 17.5

The third quartile is 22

The interquartile range is 4.5

The box plot is shown in the attachment.

The true statements are:

The median is 21

i want to die

what the hell man, i just want the points lol

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: