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likoan [24]
2 years ago
12

Let A = {2, 4} and B = {1, 3, 5} and define a relation U, V and W from A to B as follows: For every (x, y) is in A ✕ B,every (x,

y) is in U means thay y - x > 2. every (x, y) is in V means thay y - 1 = x/2. W = {(2, 5), (4, 1), (2, 3)}. (a) Draw arrow diagrams for U, V and W (b) Indicate whether any of the relations U, V, and W are functions.

Mathematics
1 answer:
vekshin12 years ago
6 0

Answer:

Given,

A = {2,4},

B = {1, 3, 5}

U, V and W are the relation from A and B as follow,

U = { (x,y) : y - x > 2, x∈A, y∈B }

V = { (x,y) : y - 1 = x/2, x∈A, y∈B }

W = {(2, 5), (4, 1), (2, 3)},

∵ 1-2 = -1, 1-4 = -3, 3-2 = 1, 3-4 = -1, 5-2 = 3, 5 - 4 =1,

Thus, U = { (2,5) },

Also, 1 - 1 = 0, 3 - 1 = 2, 5 - 1 = 4

∵ 2=\frac{4}{2}\text{ where }4\in A

⇒ V = { (4,3) }

(a) Drawing is shown below,

(b) Since, a relation is called function if each input has only one output,

Hence, U and V are functions while W is not the function.

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Answer:

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Step-by-step explanation:

Given

T = \frac{3U}{E}

Multiply both sides by E to clear the fraction

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\frac{TE}{3} = U

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nikdorinn [45]
The ar. of square =X^
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4 0
2 years ago
1 Kg = 2.2046 pounds what will be the answer in round to nearest tenth 4550 pounds = ______ kg
Harrizon [31]

Answer:

2063.9 kg

Step-by-step explanation:

Given,

<u>1 kg = 2.2046 pounds</u>

This can also be written as:

<u>1 pound = 1/2.2046 kg</u>

We have to calculate the value of 4550 pounds in kg up to nearest 10th

Thus,

4550 pounds= \frac{4550}{2.2046} kg

Solving the above equation, we get:

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Rounding the above result to nearest tenth as:

<u>4550 pounds = 2063.9 kg</u>

6 0
2 years ago
The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the
Vera_Pavlovna [14]

we are given a function

f(x)=-6x

First translation:

The graph of function  is  vertically stretched by a factor of 7

Whenever we vertically stretch any function  by 'a' units

so, we can write it as

g(x)=a\times f(x)

Here, it is vertically stretch by 7

so, we get

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Second translation:

Whenever we reflect  any function  about x-axis

we multiply y-value by -1

so, we can write it as

g(x)=-f(x)

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

g(x)=-1\times -42x

g(x)=42x.............Answer


3 0
3 years ago
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ArbitrLikvidat [17]

Answer:

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