# Simplifying Rational Expressions4x-12/4x

2,149 results

### Simplifying Rational Expressions4x-12/4x

These are the answers i wanted corrected: 4x12/4x d+7/d^2-49 t^2-25/t^2+t-20 2x^2+6x+4/4x^2-12x-16 6-y/y^2-2y-24 You will have to use brackets to show the intended order of operation. How can we 'correct' your work if you supply neither solutions nor answers? I will be happy ...

### math

When simplifying a rational fraction, why do you need to factor the numerator and the denominator? Include two examples! to get like terms Can you explain a little more? When you factor then you can cancel like terms Example: 12/3 (3)(4) ------- = 4/1 =4 3 i need to ask you a ...

### Algebra

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number game using a variable ...

### algebra

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number game using a variable ...

### Math

Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 20sqrt(x^12)

### Math

Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 3sqrt(2)/ 5sqrt(2)

### math

•Post a response to the following: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game ...

### ALGEBRA

i NEED MORE THAN JUST THE EXAMPLE i ALSO NEED TO EXPLANATION Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this ...

### algebra

Simplifying Rational Expressions: a^3-2a^2/2a^2-4a

### algebra

*simplifying rational expressions a. 6x+12/4-x b. 3x^2/12-2x

### Simplifying Rational Expressions

1) d + 7/d^2 - 49 2)b^2 - 10b + 21/b^2 - 11b + 28 Please help me.

### Math 209

When simplifying a rational fraction, why do you need to factor the numerator and the denominator? If there is a common factor in both the numerator and denominator, that factor will cancel, thus simplifying the fraction. e.g. 15/18 = (3*5)/3*6) =(3/3)*(5/6) =(1)*5/6 =5/6

### school work

Factoring Polynomials and Simplifying Rational Expressions

### Algebra

(Rational exponents)simplifying a^1/2/a^2 Please post steps

### math

I need help making up a number game for simplifying rational fractions

### Algebra

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number game using a variable ...

### Precalculus 11

If when simplifying 2 rational expressions you got: (-2(x-3))/2-x would you multiply the top & bottom by -1? Thanks!! :)♡

### Math-Rational #'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

### Simplifying Rational Expressions

Can anyone help me with these 3x-9/3x x^2-25/x^2+6x+5 4x8/105x 4x+4/x^22x3 2x^2+14x+12/4x^4x8 nevermind

### math

When simplifying a rational fraction, why do you need to factor the numerator and the denominator? Include two examples! I will be happy to critique your thinking on this. I wouldn't ask if I knew how to guess

### AED

Explain why this statement is true: when simplifying rational expressions, we must cancel factors only, and not terms. Give an example using just numbers.

### Math

Explain why this statement is true: when simplifying rational expressions, we must cancel factors only, and not terms. Give an example using just numbers.

### Simplifying (Math)

[a + (8a^-2)] / [1 + (2a^-1)] and [(x^-1) + (y^-1)] /[(x^-1) - (y^-1)] No idea where to begin simplifying. Suggestions and help are greatly appreciated.

### math

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reach 1 for an answer? You should have. How does this number game work? Hint: Redo the number game using a ...

### algebra

How does the number game work. How does the number game use the skill of simplifying rational expressions?

### Simplifying Rational Expressions

Can someone slove these for me 1.(4x-12)/4x 2.(d+7)/(d^2-49 ) 3.(t^2-25)/(t^2+t-20) 4.(2x^2+6x+4)/(4x^2-12x-16) 5.(6-y)/*y^2-2y-24) all you have to do is reduce like #1 4x-12 ______ 4x cross out the 4x b/c it's on the top and bottom which leaves just -12 on the top You can't ...

### Algebra

A few questions on simplifying rational expressions... 1). 15x^2/10x this simplifies to 3x^2/2 according to my book. But I would think it should be 3/2x since x^2-x=x. Why not? 2). Simplify 3xy/xy+x. How come the (xy)'s don't cancel so you are left with 3/x? 3). Can you break ...

### Math

Sarah is simplifying the rational expression 3x + 6 ----------- 3x She cancels the 3x's and states that the answer is 6. Matt tells her that she is incorrect. What is one example that he could use to show her that this is incorrect? 4 + 6 ------- ≠ 6 4 B) 6 ------ ≠...

### 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

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, natural) 4. (real,integer, ...

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, natural) 4. (real,integer, ...

### Algebra

I just need help with the number game part. I can't think of any kinds of games to come up with? Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an ...

### Simplifying Rational Expressions

Alright I believe i got it right this tim(They should be typred out correctly).Can someone solve these for me 1.(4x-12)/4x 2.(d+7)/(d^2-49) 3.(t^2)-25/(t^2+t-20) 4.(2x^2+6x+4)/(4x^2-12x-16) 5.(6-y)/(y^2-2y-24) We do not do your work for you. Find the factors for the numerator ...

### algebra

Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions

### Simplifying Rational Expressions

Can someone PLEASE solve these for me 1.4x-12/4x 2.d+7/d^2-49 3.t^2-25/t^2+t-20 4.2x^2+6x+4/4x^2-12x-16 5.6-y/y^2-2y-24 You need to use parentheses to clarify the menaing of those expressions. For example, if you mean (4x-12)/4x instead of 4x - (12/4x), then the answer is 4(x-...

### math,simplifying

can someone help me if possible simplifying this fraction more (2(x-5))/((x+3)(x-3)(x+1)) It wont simplify any more. okay thank you i just tjought that the bottom i could still simplify it by foiling the first two them multiplying with the last

### 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 area of a circle with...

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

### Pre-algebra

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 integers. Help him ...

### 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 centimeters are equal to...

### 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.

### 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 list. 1 √2 2 8....

### math

(X^2-1)/(x-1) = (x+1)(x-1)/(x-1) = x+1. If you then subtract your original number, x, you are left with 1. The reason this doesn't work with 1 is that you would have 1-1=0 in the denominator and you cannot divide by zero. This uses the skill of simplifying rational expressions...

### 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 what my book says I HAVE...

### 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 fraction where a/b. Thanks

### 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 :(

### 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/x-y , 5/2y-2x

### 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 periodic after a while. ...

### Math

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

### 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 functions that can be made...

### Intermediate Algebra (math)

(8x^2y^2+4xy^2-12y^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 multiply it by the ...

### Intermediate Algebra (math)

(8x^2y^2+4xy^2-12y^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 multiply it by 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 irrational. The product of two ...

### Math - Rational Roots

1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!

### Math

Simplify the expressions in each pair. (2 marks each) (Show your work) i) (x^2-x-2)/(x+1),g(x)=(x-2) My work on simplifying the functions: (x-1)(x+2)/(1) (x-1)(x+2) ii) (x^2-x-12)/(x+3), g(x)=(x^2-6x+8)/(x-2) My work on simplifying the functions: (x-2)(x+6)/(3) (x-4) Can you ...

### Math Check Pleas 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 number. Every real number ...

### Math

Identify all sets to which the number 3 belongs A. Whole numbers, integers, rational numbers B. Rational numbers C. Integers, rational numbers D. Even numbers, whole numbers, integers, rational numbers I THINK IT'S A

### 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-Measure'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 integer. 0.123333... a....

### 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 numbers. Then there is a ...

### Math Rational Functions-Please Clarify =)

I have a question about the rational function I recently posted. Would the range still be (-∞,2)U(2,∞) if the rational function is what Reiny posted "(2x^2-18)/(x^2+3x-10)." The y-intercept confuses me because its (0,1.8) and when I look at the line it passes ...

### Algebra difference quotient

I am doing difference quotient. I am to write the difference quotient in simplistic form. I am having trouble on the simplifying. f(x) = 2x-3/4 The answer I got for this one is h-3/2h, provided h does not = 0. I wasn't sure on the simplifying at the end. The second one is f(x...

### 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 x-axis and has a single vertical asymptote. Graph the function. 3. Identify a rational function who ...

### 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

### 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

### Algebra

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

### 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

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

### math help

how do prove that this equation has rational roots for all rational values of K 3x^2+kx-k=3x

### 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

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

### 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^2-2x+5 f(x)=x^2+4x-5

### math

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

if xy is rational must either x or y be rational

### 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 a non-zero rational ...

### 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.

### Intermediate Algebra

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

### Intermediate Algebra

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

### 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?

### 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?

### algebra

Use the rational zero theorem to list all possible rational zeros for the given function f(x)=x^3-4x^2-19x-14

### 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

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

### 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.

### 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

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

### 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?

### 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 2. You then find the...

### 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 help me!!

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

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. -√16 B. √25 C...

### math

If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.

### Math- Rational Functions

1. Some rational functions have asymptotes, others have holes, and some have both. Explain how you can identify, without graphing, which graphical features a rational function will have. Can someone explain this thoroughly ? I don't understand. thanks in advance.

### math

Suppose C is the elliptic curve y^2 − x^3 − a = 0 where "a" is a rational number. Suppose P = (p, q) is a point on C with rational coordinates. Suppose further that L is the tangent line to C at point P. Let Q ≠ P be an intersection point of C and L. Then Q has rational ...

### 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^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...

### Simplifying Rational Expressions

1. 4x-12/4x 2. d+7/d^2-49 3.t2-25/t^2+t20 4.2x^2+6x+4/4x^212x16 5.6y/y^22y24 Can someone help me with these,please,lol,I'm brain dead Try to factor where you can, then simplify as much as you can. I'll show you the first two problems; maybe you can try the rest on your own. #1...

### math

1. Which of the following numbers is an example of an integer? a. -15 b. 3/5 c. ^7 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 number is a real number. d. Every real number is a ...

### Pre-algebra

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 right?

### Math

1. Which of the following is an example of an integer? (1 point) a.-15*** b.3/5 c.square-root of 7 d.0.252525... 2.Which statement is false?(1 point) 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 ...