All categories

3 years ago

Are all integers rational

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Answer: Every integer is a rational number, since each integer n can be written in the form n/1.

Lubov Fominskaja [6]3 years ago

5 0

All integers are rational, including zero

You might be interested in

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

3 years ago

A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of

umka2103 [35]

Answer:

Option b) Sample

Step-by-step explanation:

We are given the following in the question:

Survey:

356 surveys on television-viewing habits of American adolescents.

Result:

Average of 3.1 hours per day.

Population and sample:

Population is a collection of all the possible observation of individuals or variable of interest.
A sample is always a part of the population.
It is a subset of population.

For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.

The correct answer is

Option b) Sample

8 0

2 years ago

In ΔPQR, what is the m∠Q? Enter your answer in the box.

Orlov [11]

Answer:

105°

Step-by-step explanation:

11x-5 + 6x+5 + x = 180

18x = 180

x = 10

m∠Q = 11(10)-5 = 110-5 = 105°

8 0

3 years ago

Simplify the expression a^b: 5x^4 y^2 * 3x^6 y^9

tatyana61 [14]

Answer:

3x(3x + 2)

Step-by-step explanation:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

I hope it is right.

4 0

3 years ago

Which statement is true about 7/10 and 2/6?

77julia77 [94]

Answer: The third answer

Step-by-step explanation:

7/10 is 0.7 and 2/6 is 0.33, 2/6 would be less than 1/2 because 1/2 is 0.5, 0.7 is greater than that benchmark

5 0

3 years ago