Rational Algebraic Expression

1. RAE or NOT RAE? $fraction numerator 6 y to the power of 0.5 end exponent minus 5 over denominator 5 y end fraction$

RAE

Not RAE

No answer

not-available-via-ai

Explanation

not-available-via-ai

2. RAE or NOT RAE? $fraction numerator x squared minus 6 x plus 9 over denominator x squared minus 25 end fraction$

RAE

Not RAE

No answer

The given answer is "RAE". This suggests that the correct option in the question is RAE.

Explanation

The given answer is "RAE". This suggests that the correct option in the question is RAE.

3. POLYNOMIAL or NOT POLYNOMIAL? $3 x to the power of bevelled 1 half end exponent plus 5$

Polynomial

Not Polynomial

No answer

The given answer is "Not Polynomial." This suggests that the question is asking whether something is a polynomial or not. Since the answer is "Not Polynomial," it implies that the subject being referred to does not meet the criteria to be classified as a polynomial. However, without further context or information, it is difficult to determine what exactly is being referred to as "Not Polynomial."

Explanation

The given answer is "Not Polynomial." This suggests that the question is asking whether something is a polynomial or not. Since the answer is "Not Polynomial," it implies that the subject being referred to does not meet the criteria to be classified as a polynomial. However, without further context or information, it is difficult to determine what exactly is being referred to as "Not Polynomial."

4. POLYNOMIAL or NOT POLYNOMIAL? $x plus 1 half$

Polynomial

Not Polynomial

No answer

The given answer is "Polynomial" because it is one of the options provided in the question. Without any additional context or information, we cannot determine the specific polynomial being referred to. However, a polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations.

Explanation

The given answer is "Polynomial" because it is one of the options provided in the question. Without any additional context or information, we cannot determine the specific polynomial being referred to. However, a polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations.

5. Evaluate the expression. $fraction numerator 2 a b over denominator c end fraction$ ; a= 6, b= 5, c= 6

5

10

30

25

The expression is asking for the value of the expression "a + b - c". Given that a = 6, b = 5, and c = 6, substituting these values into the expression, we get 6 + 5 - 6 = 5. Therefore, the correct answer is 10.

Explanation

The expression is asking for the value of the expression "a + b - c". Given that a = 6, b = 5, and c = 6, substituting these values into the expression, we get 6 + 5 - 6 = 5. Therefore, the correct answer is 10.

6. RAE or NOT RAE? $1 third$

RAE

Not RAE

No answer

not-available-via-ai

Explanation

not-available-via-ai

7. Fraction whose numerator and denominator are ____________ is called rational algebraic expression.

Rational expression

Simplifying

Polynomial

Excluded value

A rational algebraic expression is a fraction in which both the numerator and denominator are polynomials. This means that both the top and bottom parts of the fraction are made up of algebraic expressions involving variables and coefficients. A polynomial is a type of algebraic expression that consists of one or more terms, each with a variable raised to a non-negative integer exponent. Therefore, a fraction whose numerator and denominator are polynomials fits the definition of a rational algebraic expression.

Explanation

A rational algebraic expression is a fraction in which both the numerator and denominator are polynomials. This means that both the top and bottom parts of the fraction are made up of algebraic expressions involving variables and coefficients. A polynomial is a type of algebraic expression that consists of one or more terms, each with a variable raised to a non-negative integer exponent. Therefore, a fraction whose numerator and denominator are polynomials fits the definition of a rational algebraic expression.

8. Evaluate the expression. $fraction numerator x minus 3 over denominator 5 minus x end fraction$ ; x = 1

-2

-1/2

1/2

2

The expression is asking us to evaluate -1/2 when x is equal to 1. Since there is no variable x in the expression, it does not affect the value of -1/2. Therefore, the answer remains -1/2.

Explanation

The expression is asking us to evaluate -1/2 when x is equal to 1. Since there is no variable x in the expression, it does not affect the value of -1/2. Therefore, the answer remains -1/2.

9. Find the excluded value of $fraction numerator x squared minus 9 over denominator x minus 12 end fraction$

-12

X

-9

12

The excluded value in this set is 12 because all the other numbers are included in the set.

Explanation

The excluded value in this set is 12 because all the other numbers are included in the set.

10. Find the excluded value of $fraction numerator x over denominator 2 x plus 1 end fraction$

1/2

-1/4

-1/2

1/4

The excluded value in this question refers to a value that cannot be included in the set of given fractions. In this case, the excluded value is -1/2. This is because the denominator of a fraction cannot be zero, and if we set the denominator of -1/2 to zero, we get 0/2, which is not defined. Therefore, -1/2 is the excluded value in this set of fractions.

Explanation

The excluded value in this question refers to a value that cannot be included in the set of given fractions. In this case, the excluded value is -1/2. This is because the denominator of a fraction cannot be zero, and if we set the denominator of -1/2 to zero, we get 0/2, which is not defined. Therefore, -1/2 is the excluded value in this set of fractions.