We can rationalize the numerator of [(√x + √7 - √x)/7] by multiplying the numerator and the denominator by___________ .

Q: - True or False The rational expression (р. 194) 5x – 1 x³ + 1 is proper.

A: Given rational expression is  5x2-1x3+1

Q: Determine the value(s) for which the rational expression 5n/-6n is undefined. If there's more than…

A: A rational expression is undefined when the denominator is equal to zero.

Q: Simplify and express the answer in descending powers of x:2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

A:

Q: Which rational expression is undefined when x = 0? 5x2-4 3x-3 6x? 9x-3 8x +6 -x² + 1 4x-8

A: Given the rational expressions

Q: Raise the entire rational expression given below to the 3rd power. Then rewrite it without negative…

A: We have to raise the expression to the third power .

Q: 3. Express the following in simplest form with positive rational exponents only. a. 144x yz* (81a…

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Q: JUstify whether it is true to say that the given is the nth term of the AP  2n-3

A:

Q: Find the missing numerator that will make the rational expressions equivalent. 2(x – 2) 18(x 2)(x +…

A: Given,          The rational expressions as           92x-2=?18x-2x+2

Q: -Divide the following rational expression. x² - 8x + 15 x² - 3x- 10 x² +3x-4 x2 +6x +8

A: First we need to factories numerator and denominator by middle/AC method

Q: а — b 2. Rationalize the following expression: c + di.

A:

Q: 3. Tom showed the following work when he was asked to rationalize the denominator. Explain his…

A: Question number 2,Given,          r=2x Gmt24Lπ23

Q: e missing numerator that will make the rational expressions equivalent. x + 2 4x2 – 3x – 1 (4x +…

A:

Q: 16. Simplify the following rational expressions: x2 + x – 12 x2 + 2x – 8 -

A: Simplify the  expression.

Q: c) Now, express z by means of a rational exponent and compute d) What do vou think happens when n…

A:

Q: 7. Simplify the following rational expression. Show all your work for factoring! 5х-20 2x2-Зх-20…

A: Using factorization method

Q: 14. Simplify the following expression by dividing: 3x+12x -9x 3x a. +12x-9x b. +4x-3 c. +4x-3x d.…

A:

Q: 2. Which of the following is a rational expression? A. s B. 3x2 – V9x + 1 С. x2 — /2х + 5 D. 4x3…

A: we have to identify the which of the following is a rational expression.

Q: Find a fraction equal to1/3 that has a denominater of 6 add the answer to 1/6 and reduce the product

A: topic - fractions

Q: Simplify and express the answer in descending powers of x: 2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

A: Given: 2x(x2+4x+5)+3(x2+4x+5) To determine: To simplify and express the expression in descending…

Q: Consider the rational expression below. x2-7x+12 x2-x-12 What is the simplified expression, and what…

A: To find : (x2 -7x + 12)/(x2 - x - 12) First we factor , numerator and denominator.  And solve them ,…

Q: 7. 5V2 V2

A: To simplify: 522 Solution: Simplifying the given expression. 522=5·22=5·1=5 Therefore, simplified…

Q: Consider the algebraic expression −4x^5+3x^4−x/21-22x+9 How many terms are there? _______…

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Q: 18. Simplify the rational expression completely. x+1 (a) х2-2х-3 x2-7x+12 (b) 9-х? 5x+2 (c) 5х-7

A: Given: a)x+1x2-2x-3 b)x2-7x+129-x2 c)5x+55x-7

Q: 7. What factor would you use to rationalize a denominator of Vx3 ? A. Vr4 В. х4 C. Vx7 D. x7 8.…

A: Rationalising is the process in which the radicals or any surds from the bottom that is from…

Q: The fractions in the numerator can be combined by using a common denominator. We get V ) - (9a)( (x…

A: Given expression is 9xx+10-9aa+10. Simplifying the above expression.…

Q: . Explain how we rationalize a denominator, then complete the 1 following steps to rationalize V3 1…

A: 13 To rationalize the denominator, multiply and divide by the irrational number present in the…

Q: 10. Divide the foilowing rational expressions and write your answer in lowest terms: 2x+12 x²+9x+18…

A: Solved below

Q: What value for x makes the numerator equal to zero? X-3/-3x^2-5x+4 X=____________

A: Given equation is, (X-3)/(-3x^2-5x+4) => the numerator is (X-3) and

Q: Suppose we wanted to add the following rational expressions. Only the denominators are sho ? ? ? x2…

A: For the common denominator, we need to find the lcm of the denominators. Here,…

Q: 3. (a) Using exponential notation, we can write V5 as (b) Using radicals, we can write 512 (c) Is…

A: 3. a The exponential notation of the term 53 is, 53=513 Thus the exponential notation of the term 53…

Q: To simplify a rational expression, we cancel factors that arecommon to the and . So the expression

A: 2) Given: The expression x+1x+2x+3x+2. Any rational expression in the form fxgx can be simplified…

Q: What value(s) of the variable in the denominator is/are not allowed for the following rational…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 1. For r ir -ar-20-5 find the quotient and remainder. +a+3

A: Required answer is given below

Q: Reduce the given rational expression below and list any values which are excluded from the domain of…

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Q: When sutracting rational expressions, parentheses are important to make sure that you subtract the…

A: Given: 10xx-9-2x+7x-9 To find:  a. Filling in parentheses. b. Removing the parentheses. c. combining…

Q: Heip East Orange SD S Asynchronous Instruction: Sun x eosd.schoology.com/assignment/3377407378/info…

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Q: Barry found that subtracting the two rational expressions using the least common denominator…

A:

Q: Write the pair of rational expressions in terms of their LCD. 5n 2n 3n + 3 and 2 n - 1 5n In terms…

A: Write the pair of rational expressions in terms of their LCD    5n3n+3  and  2nn2-1In terms of the…

Q: 7.2a | Add and subtract rational expressions with a common denomina Simplify: x - 3x 28 x -7x x- 7x…

A: The expression to be simplified is x2-3xx2-7x-28x2-7x

Q: 10. The area of any rectangular shape is given by the product of its width and length. If the area…

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Q: x+6           =                ?              6x^2-13x-15      (6x+5)(x-3)(6x-1)       Find the…

A: Find the missing numerator that will make the rational expressions equivalent.…

Q: Rewrite with rational exponents: a. V64 (V2ry)". b.

A: The nth root radical has the equivalent forms xn=x1/n. Another property of radicals that will be…

Q: Dennis tried to reduce the following expression to lowest terms: x2 - 6x +9 x2 + x - 12 This is his…

A: Simplified rational function

Q: We need to make sure that the numerator and denominator have no common factors other than 1. If that…

A:

Q: If the numerator and the denominator of a rational expression have a common factor, how would you…

A: If the numerator and the denominator of a rational expression have a common factor, how would you…

Q: x² – 16 3. Rationalize the denominator and simplify completely: Væ – 2

A: Given, To Simplify x2-16x-2

Q: 5. Consider the expression (a + b). When expanded it has a first term of 256x¹6 and an eighth term…

A: Given an expression of a+b8 whose expanded form contain, first term as 256x16 and eighth term as…

Q: Identify the rational expression that is equivalent to Select one: O a. 6x+4x² 3x² - 12x O b. 3x+2 1…

A: Here we have to find the equivalent expression

Q: 1. What do you call an expression in fraction form in which the numerator and the denominator are…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.