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3 years ago

Jenna knits scarves and then sells them on Etsy, an online marketplace. Let C(x) = 4x + 20 represent the cost C in

Mathematics

2 answers:

tia_tia [17]3 years ago

3 0

Answer:

Domain of C={1,2,3,4,5,6}

Range of C={24,28,32,36,40,44}

Step-by-step explanation:

We are given that Jenna knits scarves and sells them on Etsy an online market place.

$C(x)=4x+20$

Where C=Represents the cost in dollars

x=Number of scarves produced.

We have to find the domain and range of C.

Substitute x=1

$C(1)=4(1)+20=$ $24

Substitute x=2

$C(2)=4(2)+20=$ $28

$C(3)=4(3)+20=$ $32

$C(4)=4(4)+20=$ $36

$C(5)=4(5)+20=$ $40

$C(6)=4(6)+20=$ $44

Therefore, Domain of C={1,2,3,4,5,6}

Range of C={24,28,32,36,40,44}

Marat540 [252]3 years ago

3 0

Answer:

domain: {1, 2, 3, 4, 5, 6}
range: {24, 28, 32, 36, 40, 44}

Step-by-step explanation:

The domain is the set of values of x for which the function is defined. The problem statement tells you that is "1 to 6".

The range is the corresponding set of values the function can produce. For x = 1 to 6, 4x = 4 to 24, and 4x+20 = 24 to 44 in steps of 4 (dollars).

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Answer: CasioFX-CG50

Step-by-step explanation: you can get it on amazon

7 0

3 years ago

(a) Let R = {(a,b): a² + 3b <= 12, a, b € z+} be a relation defined on z+)

grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0

3 years ago

Given lines L1 and L2 and L1 = (1-a)x-y and L2= 6x+ay =9 find the value of a if L1 and L2 are parallel then L1 and L2 are perpen

sammy [17]

Answer:

am not sure pls double check

7 0

3 years ago

Read 2 more answers

NEED THIS ASAPWrite the standard form of the equation of each line given the slope and y-intercept

Mama L [17]

<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>

Question 2

Answer:

The equation in the standard form is:

2/3x + y = -4

Please also check the attached graph.

Step-by-step explanation:

We know that the equation in the standard form is

Ax + By = C

where x and y are variables and A, B and C are constants

Given

Slope m = -2/3

y-intercept = -4

To determine

Write the equation in the standard form

We know that the slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

In our case:

Slope m = -2/3

y-intercept = -4

substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

y = mx+b

y = -2/3x + (-4)

y = -2/3x - 4

Writing the equation in the standard form

2/3x + y = -4

Therefore, the equation in the standard form is:

2/3x + y = -4

Please also check the attached graph.

4 0

3 years ago

I NEED HELPP!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST!!

CaHeK987 [17]

Answer:

i think its b

Step-by-step explanation

because there are 6 slices and there is 1 red soo

i think its b

sorry if its wrong

but i think its b

4 0

3 years ago