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3 years ago

List all partitions of the set. (a) (1,2) (b) [a, b,c)

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

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Tim can paint a room in 6 hours. Ben can paint the same room in 4 hours. How many hours would it take Tim and Ben to paint the r

Sladkaya [172]

Find the average.

6+4=10
10/2=5
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3 years ago

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,

Sav [38]

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

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Round down to 6 since you can only have full laptops:

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3 years ago

Evaluate this piecewise function at x = -8 and x = 4.

oee [108]

Answer:

option D :

f(-8) = -2 ; f(4) = 3

Step-by-step explanation:

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2 years ago

A square room has a tiled floor with 144 tiles. How many tiles are along the edge?

pentagon [3]

36
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I hope this helps:)

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3 years ago

Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly

mafiozo [28]

Answer:

$Area = x^2 + 9x + 14$

$Perimeter = 4x + 18$

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

$Area = (x + 2)(x + 7)$

Expand using the distributive property of multiplication

$Area = x(x + 7) +2(x + 7)$

$Area = x^2 + 7x + 2x + 14$

$Area = x^2 + 9x + 14$

Perimeter = 2(length) + 2(width)

$Perimeter = 2(x + 2) + 2(x + 7)$

$Perimeter = 2x + 4 + 2x + 14$

Collect like terms

$Perimeter = 2x + 2x + 4 + 14$

$Perimeter = 4x + 18$

6 0

3 years ago