In Exercises 1-6, find all numbers that must be excluded from the domain of each rational expression. 7 1. X - 3 13 2. * + 9 X + 5 3. x? - 25 x + 7 4. x? - 49 x - 1 5. x2 + 11x + 10 x - 3 6. x2 + 4x - 45

Q: Find the least common dominator of the rational expressions.

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Q: What two rational expressions sum to 3z-2 -? 2-z-12 Enter your answer by filling in the boxes. Enter…

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Q: Consider the following rational expression. 3z2+16z-35/z+7 Step 2 of 2:  Determine what value(s),…

A: Given,        The rational expression : 3z2+16z-35z+7

Q: Rationalize the denomi 20 5/10 - 7/5

A: 20510-75

Q: Express the interval shown on the number line in interval notation. -8 4 8. 10 12 -12 -10 -4 -2 () U…

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Q: Find all numbers that must be excluded from the domain of  rational expression. [(x + 5/x2 - 25)]

A: Given: To determine all the numbers that is being excluded from the domain of rational expression.…

Q: Consider the set of all fractions equal to12. If you take any10 of those fractions, add their…

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Q: Decompose rational expression into simpler fractions

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Q: Find all numbers that must be excluded from the domain of the rational expression : (x +7) / (x2 -…

A: The denominator can never be 0. Because division by 0 is undefined.

Q: For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule…

A: Note: Since you have posted multiple questions we will solve only the first question for you and…

Q: 11. CheCK TUr exLi aneU SulutioIs. 35 1+== x2

A: Given rational equation is  1+(2/x)=(35/x^2)

Q: Example 5: Show that v2 cannot be written as a fraction.

A: We can use the concept of rational number in order to solve the given problem.

Q: Name the rational numbers from the list below.   −4​, 0​, 33​, 9.81​, 11​, 49​, 214​,−15​,…

A: Rational Numbers:A rational number is a number that can be written in the form  pq , where  p  and…

Q: In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that…

A: We have to simplify the given expressions using properties of rational exponents: 55.  334·31456.…

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

Q: In Exercises 4-8, simplify each rational expression. If the rational expression cannot be…

A: The single rational expressions can be simplified by taking out the common factors from both…

Q: 3 is rational or irrational? 12.98 is rational or irrational?

A: 3 is a  rational number.

Q: difference between the sum of (x+5) and the sum of x+5 x was 3,4,7,3

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Q: Explain how to add rational expressions having no common factors in their denominators. Use [3/(x +…

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Q: Now, : {(41527. 2) = 62. 4 (11)hy - → (41527.2)뉴 (금) -|1y-11, (4) = [ |() = 4 - ? = (121) 62.4 → h =…

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Q: 3. and· 3.x3 2.x 5) 4ху

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Q: Write the domain in interval notation. 4 9) Ax)* 9) 3 -x Solve the rational equation. 1 5 10) x-4…

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Q: Rational numbers such as 2 and - 1, are examples of numbers. equivalent

A: the given numbers are 234 and -112 both the numbers are not same, therefore they are not equivalent.…

Q: Determine a rational number that is located between -2 ¼ and -2.8. Justify that the point is…

A: The given two rational numbers are  -214 and  - 2.8

Q: For Exercises 23–28, write the answer as a single term and simplify. It is not necessary to…

A: " Since the question with multiple subparts is asked we will solve the first three subparts for you.…

Q: Determine the probability that the randomly selected number from the interval [0,1] is a rational…

A: To Determine: The probability that the randomly selected number from the interval [0,1] is a…

Q: In Exercises 9–11, determine whether each statement is true or false. 9. 0 e {x|x is a natural…

A: (9) Consider the provided statement, 0∈x|x is a natural number Determine whether the statement is…

Q: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

A: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

Q: In Exercises 29-34, simplify each complex rational expression. 3 3 29. 8 8 30. 25 1 3 - x + 3 31. 1…

A: Since, you have posted the question with multiple sub parts, we will solve first three sub parts for…

Q: (5) Rationalize the numerator of 5+x-V2 x+3

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Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

Q: 7/2x^2-8x+5 and I need to list the numbers that must be excluded from the domain of the rational…

A: We have given rational expression fx=72x2-8x+5 Function is not defined if denominator is 0. Values…

Q: Find 5 rational numbers between 7/12 and 7/11, while explaining your strategy for finding the…

A: Given rational numbers712 and 711We have to find 5 rational number between these two number

Q: In Exercises 12-13, simplify each rational expression. 1 4 12. x + 4 1 + 1 3 x + 2 13. 2 x2 + 2x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Any rational number has a reduced form For example 12/70, 18/105, 600/3500 all represent the same…

A: According to the given information, it is required to write the characteristics of numerator and…

Q: I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite…

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Q: Calculate 5.3- n=3

A: GEOMETRIC SERIES: The formula for the sum of a finite geometric sequence, the sum of an infinite…

Q: In Exercises 7-14, simplify each rational expression. Find all numbers that must be excluded from…

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Q: After rewriting rational expressions with a common denominator, one needs to add or subtract the…

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Q: The student was asked to divide the given rational expressions. Explain what the student did wrong.…

A: Proceed as shown

Q: What is meant by a proper  rational expression?

A: A rational expression is proper if the degree of the numerator is less than the degree of the…

Q: Find all numbers that must be excluded from the domain of  rational expression. [(x + 7/x2 - 49)]

A: Consider the following rational expression: x+7x2-49 Denominator of rational function should not be…

Q: is ​{x | x is a fraction between 71 and 72​} finite or infinite

A: We will solve the problem. There are infinite real numbers between any two natural numbers. These…

Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…

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Q: What is the coefficient of the 3rd term from the beginning in the expansion of the expression ( 2x-…

A: Given: a2x-y6

Q: 9. When a rational algebraic expression is subtracted from the result is メーS ー-10 What is the other…

A: Given expression are 3/(x-5) and (-x-10)/(x2-5x)

Q: The set of real numbers for which a rational expression is defined is the__________ of the…

A: Given:Rational expression

Q: In Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1…

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Q: How do you find the excluded values with rational expressions?

A: Need to find How we find the excluded values with rational expressions

Q: 1/1, 21, 12, 1/3, 22, З/1, 4/1, 32, 23, 14, 1/5, 2/4, 33, 42, 5/1 1 1 1 1 skip 1 1 1 t t 1 1, 2, 3,…

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