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USPshnik [31]
3 years ago
10

Classify the relations according to whether or not they are functions.

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
First of all, let's explain the term relation. Many everyday phenomena involve two quantities that can be related to each other by some rule of correspondence. In mathematics the term for such a rule of correspondence is called relation. Relations are often represented by mathematical equations and formulas.

Suppose you have a set A and a set B, so if a relation assigns to each element x in the set A exactly one element y in the set B, then the function f is in fact that relation.
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the length of a retangle is 4 inches greater than the width. the perimeter of the retangle is 24 inches. What are the dimensions
Marianna [84]
24 = 2w + 2(w+4) \\24 = 2w + 2w + 8 \\24 = 4w + 8 \\24 - 8 = 4w \\16 = 4w \\\tfrac{16}{4} = w 4 = w

The width is 4 inches, and length is 8 inches.
3 0
3 years ago
Use function notation to write a recursive formula to represent the sequence: 3, 6, 9, …
dlinn [17]

Answer:

f(n) = f(n - 1) + 3

Step-by-step explanation:

Substitute $ n = 1, 2, 3,.. $ to get the recursive formula.

OPTION 1: f(n) = f(n - 1) + 3

Substituting n = 1.

f(1) = f(1 - 1) + 3 = 0 + 3 = 3.

Substituting n = 2.

f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.

Substituting n = 3.

f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.

The numbers match the given sequence. So, we say the above recursive formula represents the sequence.

OPTION 2: f(n) = f(n - 1) + 2

Substituting n = 1

f(1) = f(0) +  2 $ \ne $ 3.

So, this is eliminated.

Similarly, OPTION 3 and OPTION 4 can be eliminated as well.

4 0
3 years ago
What is the rate of change and initial value of the linear function modeled by a line passing through the points (0,8) and (3,-1
kumpel [21]
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3

When you say initial value I'm assuming you mean the y-intercept

In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula

y - 8 = -3(x - 0)
y = -3x + 8

The y-intercept is when x = 0 so,

y = -3(0) + 8
Therefore y = 8
3 0
3 years ago
-(14-2y) +3y+26 how do i find y
Setler79 [48]
Y is behind 2 its in plain sight   
7 0
4 years ago
PLS HELP!!! Angle 3 and Angle 8 are congruent<br> True or false
hammer [34]

Answer:

false

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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