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Alika [10]
3 years ago
8

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Mathematics
2 answers:
netineya [11]3 years ago
7 0
X may have any value except 5.
y may have any value.
AysviL [449]3 years ago
5 0

Answer:

Possible values of x and y can be:

x can be any value except 5

and y can be any value

Step-by-step explanation:

A function f is a map from a non empty set A to B if every element of a is mapped to a unique element of B.

Here we are given that:

f(5)= -2

for two distinct points such that f(x)=y

x can be any value except 5

(since 5 has a image -2 and for a function image of any element is unique)

and y can be any value

Possible values of x and y can be:

x can be any value except 5 and y can be any value

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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
4 years ago
What is the sum of the arithmetic series
docker41 [41]

Answer:

S_ {12} = 192

Step-by-step explanation:

The nth term of the given arithmetic sequence is

U_n = 3 + 2n

The first term of this series is:

U_1 = 3 + 2(1) = 5

The last term of this series is when

n = 12

U_ {12}= 3 + 2(12)

U_ {12}= 3 + 24 = 27

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

S_n =  \frac{n}{2}(a + l)

Where a=5 is the first term and l=27 is the last term.

S_ {12} =  \frac{12}{2}(5 + 27)

S_ {12} =6(32) =19 2

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3 years ago
Find the linear equation with slope = 7 and y-intercept = -4 NEED HELP!!!
riadik2000 [5.3K]
You already have all you need. Just put in it the slope-intercept form: y=mx+b where m is the slope and b is the y-intercept so

y=7x-4
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Which Figure has a line sysmmetry F,H,J,L,R
Makovka662 [10]

Answer:

njnjfsdnjfe

Step-by-step explanation:

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A pint container because there are 2 cups in a pint, whereas there are 6 cups in 1/2 gallon and 4 cups in a quart.
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