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2 years ago

Is the set of integers closed under division? Explain why or why not.

1 answer:

5 0

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

<h3>How to determine the true statement?</h3>

Integers are numbers without decimal points

When integers are divided, the possible results are:

Zero
Decimal
Integers

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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Please help extra points cuz ik this will be hard and some time to do

vesna_86 [32]

Answer

Part A

1 - 1

2 - 3

3 - 6

4 - 10

5 - 15

Part B

Now plot these points on the coordinate plane

(1,1) (2,3) (3,6) (4,10) (5,15)

Part C

It is NOT a linear function

4 0

3 years ago

Read 2 more answers

Solve for x. Round to the nearest tenth of a degree, if necessary.

ziro4ka [17]

Answer:

x ≈ 28.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{3.9}{8.1}$ , then

x = $sin^{-1}$ ( $\frac{3.9}{8.1}$ ) ≈ 28.8° ( to the nearest tenth )

3 0

3 years ago

Which equation has infinite solutions?

AnnyKZ [126]

The equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

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

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

Read more about equations at:

brainly.com/question/15349799

#SPJ1

<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

$\frac 13(6x - 3) = 3(x + 1) - x - 2$

5 0

2 years ago

5y + (86 - y) = 86 + 4y

Viefleur [7K]

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

<u>Step 1: Distribute</u>

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

<u>Step 2: Combine like terms</u>

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

<u>Step 3: Subtract 4y from both sides</u>

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

<u>Step 4: Subtract 86 from both sides</u>

0 = 0

Answer: All real values, (-∞, ∞)

8 0

3 years ago

Read 2 more answers

What is the area of the shaded region of the circle?

eduard

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.

6 0

3 years ago