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Anastaziya [24]
3 years ago
13

Write the following set in roster form and in set-builder notation.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

Roster Form of M  = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3  < x  ≤ 1 }

Step-by-step explanation:

Roster Form: A set is said to be in roster form if each element of the set is written distinctly in the set with commas in between them.

Set Builder Form: A set is said to be in set builder form if all the set elements are represented by describing their properties.

Now, here M is the set of integers that are greater than -3 and less than or equal to 1.

So, by definition of the set forms,

Roster Form of M  = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3  < x  ≤ 1 }

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37. Two numbers are such that their
omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

:

Two numbers a & b

Let x = the multiplier

:

a - b = 1x

a + b = 7x

a * b = 24x

:

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

or

x = .25a

:

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

:

Find the multiplier

a - b = x

8 - 6 = 2

:

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

:

The numbers are 8 and 6; their products = 48

4 0
3 years ago
What does 3 and 16 go into 10,100 or 1,000
lesya692 [45]
I think they both go into 10,000 bases of the calculations from the calculator on my phone
7 0
3 years ago
Which expressions are equivalent to
Drupady [299]

Answer:

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D. 16 + 3y +(-3.52)

4 0
3 years ago
Help plzzzzzzzzzzzzzzz
Ivan

Answer:

Step-by-step explanation:

1+1=2

4 0
3 years ago
Read 2 more answers
1.
ANTONII [103]

The equation of the line is y = 1/6x + 3

<h3>How to determine the equation?</h3>

The equation of the line is given as:

y = -6x - 14

The above equation has a slope of

m = -6

Let the slope of the other line be n.

So, we have:

n =-1/m ---- slope condition for perpendicular lines

So, we have:

n = 1/6

The equation is then calculated as:

y = n(x - x1) + y1

Where

(x1, y1) = (12,5)

This gives

y = 1/6(x - 12) + 5

Expand

y = 1/6x - 2 + 5

Evaluate the sum

y = 1/6x + 3

Hence, the equation of the line is y = 1/6x + 3

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

6 0
2 years ago
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