I understand how to get the domain of a fraction in interval notation but am unaware of how to get the domain of a fraction with a quadratic as the denominator

Q: Why we need the least common denominator to add or substract rational expressions?

A: Rational function is the ratio of two polynomial functions where the denominator polynomial is not…

Q: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

A: We have asked in which form  a number is  when the numerator and denominator of that number…

Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal…

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n

Q: Write the rational expression in lowest term. 6x+21/8x+28

A: We need to factor the numerator and denominator of the expression first.We would factor the top and…

Q: List all numbers that must be excluded from the domain of each rational expression: 3 / (2x2 + 4x -…

A: We need to find all the numbers that must be excluded from the domain of rational expression:

Q: A quotient is considered rationalized if its denominator hasno __________.

A: A quotient is considered rationalized if its denominator has no

Q: A moving company charges $115 to rent a truck for a three-day period, plus an additional $0.83 for…

A: Given x represent the number of miles truck driven during the rental period. In the given question,…

Q: Explain why the sum, the difference, and the product of two rational numbers are rational numbers.…

A: Consider two rational numbers a/b and c/d. The sum,the difference and the product of two rational…

Q: if you simplify the fraction, do you get a different answer when you evaluate the exponent?

A: So when we are simplifying the fraction in that condition we are not changing the real value of the…

Q: Jessica was asked to multiply two rational expressions. Distinguish where she made her mistake and…

A: The given expression,  x2+2x-15x2-x-6.x2+x-22x2+10x

Q: Reduce to lowest terms: x'+3x++2x+6 x+3

A:

Q: triangle

A:

Q: A rational expression whose numerator or denominator or both contain rational expressions is called…

A: The rational expression whose numerator or denominator or both contain rational expression is called…

Q: Explain how to clear an equation of fractions.

A: Find the least common denominator of all the fractions in the equation. Multiply both sides of the…

Q: Rewrite as equivalent rational expressions with denominator (3x-8)(1-5)(a - 3). --- 4 9x 3x? – 23x +…

A: consider the equation  (3x-8)  (x-5) (x-3)

Q: Fully simplify to one fraction. 5х +1 x – 3 x + 8

A: We have to simplify

Q: The cost (in millions of dollars) for a 30-second ad during the TV broadcast of a major sporting…

A: To determine if the cost of an ad will reach to $4 million by 2020.

Q: If you know how many hours it takes for you to do a job, explain how to find the fractional part of…

A: Let the job can be done in y hours.

Q: Find all ways how to rewrite fraction - as the sum of two fractions with 1 as the numerators and the…

A: 118+19=1+218=318=16 Hence 118 and 19 are two fractions with numerator as 1 and their sum equals to…

Q: State the restricted values of the rational expression: 3x-5/4x-8

A: Given query is to find the restricted values for the function.

Q: Express the perimeter of  rectangle as a single rational expression.

A:

Q: If you can complete a job in 19 hours, the fractional part of the job that you can complete in x…

A: You can complete a job in 19 hours. Job completed in one hour is 119. Therefore job completed in x…

Q: answer as a fraction or a decimal rour 2x2 - 16x + 24 lim x-6 x2 - 10x + 24

A:

Q: A rational expression whose numerator or denominator or both contains rational expressions is called…

A: A rational expression is the quotient of two polynomials. The numerator and denominator both are…

Q: to divi

A: Introduction: Complex fractions: In both the denominator and the numerator, create a single…

Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: When two trains moves forward , total distance covered by them will be the distance between the…

Q: A rational expression is the quotient of two___________.

A: we know that A rational expression is the quotient of two polynomials

Q: write the rational expression in lowest term. 2x+3/10x2+21x+9

A: Given rational expression is,

Q: How can you tell if a decimal is for a rational number? How can you tell if a decimal is an…

A: We will observe the difference.

Q: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

A: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

Q: A piece of sailcloth is in a shape of a triangle XYZ. Side XY measures 6 meters while ∠X and ∠Z are…

A:

Q: Reduce the  rational expression to lowest terms (15x2 + 24x) / 3x2

A: We have to reduce the rational expression to lowest terms: 15x2+24x3x2 We know the property,…

Q: Reduce the  rational expression to lowest terms ( x2 + 4x - 5) /  ( x2 - 2x + 1 )

A: A rational expression is an expression in fractional form with the numerator and the denominator of…

Q: Is the quotient of 4 divided by -8 a rational number?

A: topic - rational numbers rational number is a number that can be written in the form of p/q and q is…

Q: Find the rational number halfway between the two numbers  9/11 and 2/5

A: Given numbers are 9/11 and 2/5

Q: 5 1.

A:

Q: Reduce the  rational expression to lowest terms (4x2 + 8x) / (12x + 24)

A: A polynomial is an expression that is combination of variables raise to some power whereas rational…

Q: Reduce the  rational expression to lowest terms 24x2 / ( 12x2 - 6x )

A: Given : 24x212x2-6x

Q: Suppose that your friend missed class the day the material in this section was discussed. How could…

A: To make  her understand  about multiplication and division of rational expressions.

Q: Evaluate -(-6)-3 . Express in rational form

A:

Q: Reduce the  rational expression to lowest terms (  x2 + 5x  - 14 ) / ( 2 - x )

A: x2+5x-142-x

Q: 10 6 + V6

A:

Q: Simplify the fractional expression. (Expression like these arise in calculus.)

A: 1+x3-14x32

Q: Explain how to determine which numbers must be excluded from the domain of a rational expression.

A: Exclude the numbers that makes the value of the denominator zero of a rational expression.

Q: Reduce the  rational expression to lowest terms ( 2x2 + 5x - 3 ) / ( 1 - 2x )

A: The given rational expression is, 2x2+5x-31-2x To reduce the given rational expression, we factorize…

Q: 2-6 2-3x X-2 X-2

A: Explanation of the solution is given below...

Q: The early Greeks believed that the most pleasing of all rectangles were golden rectangles, whose…

A: Given:             wh= 25-1

Q: Reduce the  rational expression to lowest terms (x2 + 4x + 4)/ x2 - 4

A:

Q: How can you Identify between rational and irrational numbers?

A: A rational number is a number that can be expressed as the quotientor fraction p/q of two integers ,…