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Alinara [238K]
3 years ago
8

Find the domain and range of each relation. Then determine if the relation is a function. D={-2, -1, 3, 5}, R={-7 ,0 ,4} Functio

n?
Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer:

D = \{-2,-1,3,5\} -- Domain

R = \{-7,0,4\} -- Range

It is a function

Step-by-step explanation:

Given

D = \{-2,-1,3,5\}

R = \{-7,0,4\}

Required

State the domain and range

Determine if the relation is a function

From the question, we have the domain and range as:

D = \{-2,-1,3,5\} -- Domain

R = \{-7,0,4\} -- Range

Next, is to determine if the relation is a function or not.

Yes, it is a function.

The number of elements in the domain is 4

The number of elements in the range is 3

<em>When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.</em>

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The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers
Inga [223]

Answer:

39

Step-by-step explanation:

Let the three consecutive odd numbers be:

x+2, x+4, x+6.

The sum of the consecutive numbers is 123 i.e

x+2 + (x+4) + (x+6) = 123

x + 2 + x + 4 + x + 6 = 123

3x + 12 = 123

Collect like terms

3x = 123 — 12

3x = 111

Divide both side by the coefficient of x i.e 3

x = 111/3

x = 37

Now let us find the value of the three odd numbers. This is illustrated:

1st : x + 2 = 37 + 2 = 39

2nd : x + 4 = 37 + 4 = 41

3rd : x + 6 = 37 + 6 = 43

The smallest of the three consecutive odd numbers is 39

5 0
3 years ago
Enter the value of n so that the expression (y + 2) + (3y - 5) is equivalent to (ny- 3)
matrenka [14]

Answer: n = 4

Step-by-step explanation: you combine the like variables which turns it into

(4y - 3)

(4y - 3) is <em>another</em> way of saying ((4 x y) - 3)

So the 4 is turned into n making it (ny - 3)

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3 years ago
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Step-by-step explanation:

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a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w
Lostsunrise [7]
Subtract 15/16 and 12/16 to get 3/16
5 0
3 years ago
What is the measure of angle 3 if the measure of
ELEN [110]

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

8 0
3 years ago
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