1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or
20,164 results
Alegbra 2
Use the rational root theorem to list all possible rational roots for the equation. X^3+2x9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x6=0. A polynomial function P(x) with rational coefficients has the

Algebra
Which of the following statements is false? The sum of two rational numbers is always rational. The sum of a rational number and an irrational number is always rational. The product of a nonzero rational number and an irrational number is always

Pre Algebra
1.Which of the following numbers is rational? A \frac{4}{5} B √27 C 4.02002000200002... D √31 2.What type of number is shown below? 0.3133113331... A repeating decimal B rational C irrational D terminating 3.Select all the rational numbers from the

Algebra
Which number can be added to a rational number to explain that the sum of two rational numbers is rational? A) π B) 8 C) √2 *** D) √5

Math
Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, and integer. 0.23333... A. rational number B. irrational number C. integer, rational number D. whole number, integer, rational number I don't

math
True or false 1.) The set of integers contains the set of rational numbers 2.)Every repeating decimal is a rational number 3.)Every square root is an irrational number 4.) the set of whole numbers contains the set of rational number 5.)every terminating

Math Check Please Thank You
1. Which of the following numbers is an example of an integer? 15 * 0.252525 . . . 3/5 (fraction) Square root of 7 2. Which statement is false? Every integer is a real number. The number zero is a rational number. Every irrational number is a real

math
The discriminant of a quadratic equation is 35. The roots are: a) unequal rational numbers b) unequal irrational numbers c) equal rational numbers d) imaginary numbers Please explain.

ms.sue math
Which sum will be irrational? a. 3 + 2 b. √19 + 7/2 ****** c. 18/3 + 11/10000 d. –6 + (–3.251) Which product will be rational? A.17.12 * 33 ***** B. √ of 3 * √ of 9 C.4*pie D. √ of 20 * 15 A whole number is added to a number with two digits

Algebra 1
Which statement about real numbers is true? Across the heading says: real numbers. The first big circle says: rational numbers The second biggest circle inside rational numbers says: integers The third circle within the rational numbers says: whole

Algebra
name to which subset of the real numbers wo which each number belongs 2/3 = Rational 1 = Integer 17/4573 = rational square root of 113 = Irrational

rational expressions
Adding, subtracting, multiplying, and dividing rational expressions is similar to performing the same operations on rational numbers. Using examples for each operation, support this statement.

math help
how do prove that this equation has rational roots for all rational values of K 3x^2+kxk=3x

Rational
Which of the following statements about rational numbers is correct? a. All rational numbers are also whole numbers. b. All rational numbers are also integers. c. All rational numbers can be written in the form a/b. d. Rational numbers cannot be negative.

Math
Using the words listed below fill in the blanks with the correct number type Real Number, Rational Number, Integer, Whole Number, Irrational Number 3) 0.12  Rational and Real number I am not sure about the rest. Am I correct on this? 4)

math
HELP. Help I have to decide whether these are rational or irrational. .73737373... .61611611161111..... 1/23 Can someone explain this to me? Rational numbers are just fractions. The decimal expansion of fractions will either terminate or it will become

9th grade
Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers

Gr.11  Rational functions graphing.
1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the xaxis and has a single vertical asymptote. Graph the function. 3. Identify a

MathMeasure's & area
1. Find the area of a parallelogram with base b and height h. B=82cm H=16.6cm a.**1,361.2 cm^2 b.6,724 cm^2 c.137.78 cm^2 d.98.6 cm^2 2.Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, and

Algebra
After solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?

Math
Which set of numbers best describes the displayed weights on a digital scale that shows each weight to the nearest half of pound. A) Whole B) Rational C) Real D) Integers My answer is Rational because rational numbers can be written as a decimal or

Algebra
A. Find the LCD for the given rational expression. B. Rewrite them as equivalent rational expressions with the least common denominator. 5/a^2+5a+4, 4a/a^2+3a+2

discrete math
1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For 1) use the definition of

algebra
here is a rational expression, 20+2x/5x for what value of x is the rational expression equal to zero? 20+2x/5x 20/5+2xx 4+2xx 4+x I'm not trying to solve an equation. i am trying to find the value of x in this rational expression.

Math
Rational numbers are fractions and their opposites. All of these numbers are rational numbers. Show that they are rational by writing them in the form a/b or a/b. 0.21/5 √4 0.333333/1000 √100 1.000001 √1/9 All rational numbers have decimal

Math
Are there more rational or irrational numbers? I am thinking irrational, because the product of a rational and irrational number is irrational. Is this enough of a reason to prove it?

Math
Identify al the sets to which the number 3.1214122144...belongs. A.) Rational** B.) Irrational C.) Integer, Rational D.) Whole number, Integer, Rational

algebra
Factor this polynomial: F(x)=x^3x^24x+4 Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3). The rational roots can thuis be +/1, +/2 and +/4. If you

math
Which number can be added to a rational number to explain that the sum of two rational numbers is rational? a: pi b: 3 7/8 c: square root of 8 d: square root of 47

math
Which statement is true? A. All irrational numbers are also rational numbers. B. Half of the irrational numbers are also rational numbers. C. Onethird of the irrational numbers are also rational numbers D. Irrational numbers cannot be classified as

mathematics
Identify whether the given y=5+x123x x2+2x+5 is a: a. Rational Equation b. Rational Inequality c. Rational Function d. None of these

6TH GR. ALGEBRA
EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.

PLEASE CHECK MATH TY!
1. Which of these numbers can be classified as both real and rational? A. 1/2 *** B. 1.016879413894 C. √5 D. 0.89089908999 2.Which is both a real number and an integer? A. √7 B. 0.15 C. 15 *** D. 1/3 3. What is an example of an irrational number? A.

Prealgebra
Sonia is creating a visual diagram to show the relationship between rational numbers and whole numbers. She draws it to show that some whole numbers are rational numbers and some are not. Is this correct? Explain why or why not All numbers are rational

Math
identify all the sets in witch the number 3.121422144..... belongs. A. rational number B. irrational number C.integer, rational number D. whole number, integer, rational number HALP me on this plz O_O

Math
Find all possible rational roots using the rational root theorem. x^4  3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?

algebra
Use the rational zero theorem to list all possible rational zeros for the given function f(x)=x^34x^219x14

Math
Which statement is false? A. The number zero is a rational number. B. Some irrational are also rational numbers. C. Every irrational number is a real number. D. Every integer is a rational number Is the answer C?

Math
True or false ____Every integer is a rational number. ____ Every Rational number is a whole number. ____ Every natural number is a whole number. ____ 3 is an element of the rational numbers.

Math
Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it as a quotient of two

Math
Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it as a quotient of two

Prealgebra
Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two

maths
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx p +2q = 0 are rational.

Math
Proove that: a)2^(1/2) is not rational. b) prove that 2^(1/3) is not rational. I have managed to prove the first part, but i am stuck on the second can someone give me an hint please?

Math
I just wanted to check my answers with anyone willing to take the time. Identify all sets that 3/4 belongs to: a.whole #s, integers, rational #s b.rational #s c.integers, rational #s d.odd #s, whole #s, integers, rational #s Ithought it was C How many

Algebra 2
i am stuck. Prove that if a and b are rational numbers, (a + ^b)3 + (a  ^b)3 is also rational. ^ = sq root sign Thanks

math
If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx6a²ab+2b²=0 are rational.

algebra
Anyone? Prove that if a and b are rational numbers, (a + ^b)3 + (a  ^b)3 is also rational. ^ = sq root sign Thanks

math
hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions? 2) for the domain of the rational function it is what the denominator cannot equal to rite? for example the denominator of

math please help
What is the best sequence of names to identify this set of numbers? (1 3/5,10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real,

math
What is the best sequence of names to identify this set of numbers? (1 3/5,10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real,

Algebra 1
Which axiom is used to prove that the product of two rational numbers is rational? Holy cow, what is an axiom?

Math(dispute to previous question)
2)Name the sets of numbers to which 457 belongs. (answer)natural,whole,integers,rational,reals My book says that every REAL number has to be rational or irrational. Blueridge said that my answer was correct except to exclude rational from my list. From

Math
1. Is square root of negative 10 irrational or rational? 2. Is 2.79797979... irrational or rational? I'm not very good at identifying irrational and rational numbers at least I tried too. 1. irrational 2. rational

Math
Will the values described in each situation be rational or irrational? Select Rational or Irrational to describe each situation.I put "R" and "I" to represent the choices I choose. the length of a rectangle with a rational area and irrational width :R the

maths
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx p +2q = 0.

Math
Can someone help me reword these two things? I don't like how I did them but I can't think of anything else. Thanks!! 1. PROMPT: What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a

algebra
after solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?

Algebra
Rewrite the rational expression as an equivalent rational expression with the given denominator. (Both are fractions) It's 21 over x squared minus 6x is equal to 1 over x (x6)(x+5) 21 = 1 x2 6x x(x6)(x+5)

Precalculus
I'm HOPING this is the last problem I need help on.. :/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3  x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(

Criminal Justice
How is criminal behavior explicable according to rational theory? What crime control stratagies are effective according to rational theory? How could crimes like this be prevented according to the rational choice theory?

Intermediate Algebra (math)
(8x^2y^2+4xy^212y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational expression and

Intermediate Algebra (math)
(8x^2y^2+4xy^212y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational expression and

Math
1a) Prove that there exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 1b) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational 1c)

Algebra
Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^32x^2+7x+6. 3)Find all of the rational zeros

Calculus
We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any

criminology
how is criminal behavior explicable according to rational choice theory? It would be helpful if you phrased your questions in regular English and explained your terms. explicable ??? rational choice theory ??? ?? question pertains to the rational choice

algebra
Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 4/xy , 5/2y2x

math
There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational b) prove that if

please help with math
There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational b) prove that if

THE HOMEWORK IS DUE TODAY HELP! HELP! PLEASE
There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational b) prove that if

Math
Does 3/4 belong in the group, integers and rational numbers. in order it goes:Natural #s1,2,3,4... Whole #s0,1,2,3,4... Integerswhole #s & opposites(negatives) Rational #snumbers written in fractions or decimals Please read: (Broken Link Removed) 3/4

Pre algebra
which is an example of an integer? 15 3/5 √7 0.252525 Which statement is false? A) Every integer is a real number. B)The number zero is a rational number. C) Every irrational number is a real number. D) Every real number is a rational number. Which

Equivalent Algebraic Expressions
The game shown at the right consists of eight pairs of coloured squares called dominos. Rules: 1. Write a polynomial in each square marked P and a rational function in each square marked R. 2. The expressions you write must satisfy each of these

Algebra
Does anyone know the significance of the rational zero test? Is it the rational root test? I can find the rational root test, but I don't know where I can find the reason for the rational zero test. Any clue?

prealgebra
1.Which of the following numbers is an example of an integer? A. 15 B. threefifths C. start root 7 end root D. 0.252525 . . . 2.Which statement is false? A. Every integer is a real number. B. The number zero is a rational number. C. Every irrational

Algebra
Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, 1, 3, 9, 27 Factors: 3, 1, 3 +1/3, +1, +3, +9, +27 possible rational zero for function P(x)

Math
___ identify the sets to which the number 0.41567 belongs. A. rational number B. irrational number C. integer, rational number D. whole number, integer, rational number please help, and don't just give answers, plz also say how you got them

math
List all possible rational zeros of... h(x)= 2x to the (4th power)  5x (to the third power) + 3x (to the 2nd power) + 4x  6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides

Algebra
I posted this problem last night and some one told me I was wrong. Today, two of my group members have the same answers for this problem. Can some one tell us what or where we went wrong? Using rational zero theorem find all rational zeros

Intermediate Algebra
what is the meaning term rational expression Please give me an example how to divide rational expressions

algebra
List all possible rational zeros of the polynomial and then show that the equation has no rational root. x^5 − 8x^3 + 6x^2 + x − 2 = 0

Algebra
A. Find the LCD for the given rational expression. B. Rewrite them as equivalent rational expressions with the least common denominator. 5/a^2+5a+4, 4a/a^2+3a+2

Algebra
For the polynomial function, (a) list all possible rational zeros, (b) find all rational zero, and (c) factor f(x)! f(x)=6x^3+13x^2_41x+12

Intermediate Algebra
What is the meaning term rational expression. In your word and examples explain how to divide rational expressions

Math
Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. 1 D. (1/2)

math help me!!
is square root of 56 a rational number? explain uranswer using what you know about rational and irrational numbers. thnx alot!

algebra
use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 f(x)=x^22x+5 f(x)=x^2+4x5

rational expressions
1. Create a equation that uses two rational expressions that equal (x+5)^2 2. Create an equation that uses two rational expressions that equal 1/x+3 3. Create an equation that uses two rational equations that equal x^2+7x+10

math
classify the following number as rational or irrational: 4.1 My guess is Rational

math
which statement is false? A: 3.648 reapeating=is rational B:3 2/13=rational

algebra 2
list all the possible rational roots of P(x) given by the Rational Root Theorom. P(x)=4x^42x^3+x^212

Math
Identify all the sets to which the number 0.46517 Repeating belongs. A. rational number B. irrational number*** C. integer, rational number D. whole number, integer, rational number Pls Help me.Thx

Algebra
Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^22x+5 f(x)=x^2+4x5

MathRational #'s
Just trying to understand this. Please let me know if I did these right. Thanks!!! 7 as a rational # = 7/10 3.03 as a rational # = 33/10 2 3/12 as a rational # = 25/12 1.03 as a rational # = 13/10

maths
the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

maths
the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

algebra
what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denominator must we be mindful of? Explain why.

maths
the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

math
Ax^2+bx=bx^2+a prove that it's roots are rational for all real values of a and b