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3 years ago

Which of the following sets are closed under multiplication? Select all that apply.

Mathematics

2 answers:

ikadub [295]3 years ago

8 0

Integers, polynomials and whole numbers are closed under multiplication

ivolga24 [154]3 years ago

4 0

Answer:

Integers, whole numbers and polynomials are sets of closed under multiplication.

Only Irrational numbers are not the sets of closed under multiplication.

Step-by-step explanation:

To find : Which of the following sets are closed under multiplication?

1. Integers

Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another integer.

Example - $3\times 3=9$ is an integer

2. Irrational numbers

No, irrationals are not closed under multiplication.

Example - $\sqrt{3} \times \sqrt{3} =3$ is a rational number

3. Whole numbers

Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another whole number.

Example - $5\times 5=25$ is a whole number

4. Polynomials

Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.

Example - $(x + 1)(x^2 + 4x + 3) = x^3 + 5x^2 + 7x + 3$ is a polynomial.

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Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................

Nataliya [291]

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
$\frac{1}{4}\div\frac{3}8}$

Step 1:
Rewrite it as
$\frac{\frac{1}{4}}{\frac{3}{8}}$ .

Step 2:
Multiply the numerator and the denominator by the reciprocal of
$\frac{3}{8}$ .

 $\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}$

Step 3:
Simplify the denominator
$\frac{\frac{1}{4}\times\frac{8}{3}}{1}$

Step 4:
Simplify the fraction
 $\frac{1}{4}\times\frac{8}{3}$ .

We complete the solution as follows:
 $\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}$

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4 years ago

Applications: Sarah's Pet Store never has more than a combined total of 16 cats and dogs. She also never has more than 9 cats. W

ankoles [38]

The possible solution is 12 cats and 4 dogs in Sarah's store.

Let x represent the number of cats and y represent the number of dogs.

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The solution to the inequality is graphed. From the graph, the possible solution is 12 cats and 4 dogs

Find out more on inequalities at: brainly.com/question/24372553

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Read 2 more answers

The area of the trapezoid is 39 ft2. What is the height of the trapezoid?

Elodia [21]

Given:
Area of the trapezoid is 39 ft².
The image contains a measurement of 11 ft and 15 ft on its bases.

Area of a trapezoid = (a + b)/2 * h
39 ft² = (11ft + 15ft)/2 * h
39ft² = 26ft/2 * h
39ft² = 13ft * h
39ft² ÷ 13ft = h
3ft = h.

The height of the trapezoid is 3 feet.

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3 years ago