Explain why the following rules hold true: n√xn = |x|, for even values of n n√xn = x, for odd values of n

Q: the answer is 3+6N but i dont know why, so please go step by step/explain how you get that answer.

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Q: ON subtracting 8 from x the result is 2 . Then Find the value of x

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Q: Examine the following paragraph proof: Given that 3(x- 2) = 42, the A results in 3x - 6 = 42. Next,…

A: topic - solution of linear equation

Q: 14х3 — 5х/x — 3 Vx2

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Q: From the following numbers, select all that are rational. 6 A B 0.62 C 0.6 D 0.67 O Band C O all are…

A: Rational numbers are the numbers that can be written in the form pq where p and q both are integers…

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A: Given  Ht = -16t2+144   Where H is in feet and t is in seconds We have to find how many feet ded the…

Q: Susan was asked to simplify the following rational expression. Assess her work and critique any…

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Q: Jovany added the 2 rational expressions as shown What mistake, if any, did he make? X+S + X-2 2(x-2)…

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Q: Simplify the following rational expressions with multiplication. 2xy . x+2 g) 4x+8 3x2 22-4.4x+4 h)…

A: To simplify the rational expression follow the following steps.   Step 1: Factor both the numerator…

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Q: Simplify the ratio of factorials (3n + 1)! / (3n)!

A: The given expression is:

Q: In APOR, PR is extended through R to T. If MZQPR = (3x+6)°, m/PQR (2x-6)°, and MZQRT = 150°, find…

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Q: х+1, Зх + 3 7

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Q: Write the following expression in the form ax +bx, where a and b are real numbers and p and q are…

A: We have to write the given expression in the form axp+bxq, where a and b are real numbers and p and…

Q: ow by contradiction that if 5x2+ 3 is irrational, then x is irrational. -

A: Proof by contradiction

Q: For Exercise, add the rational expressions. 2 w + 2 3w + 2

A: We have given;

Q: The following expressions are called continued fractions: 1 + 1 + - 1 + 1 + 1 + - 1 + 1 + 1 1 + 1 +…

A: Given: 1+1x, 1+11+1x, 1+11+11+1x,  1+11+11+11+1x To simplify each expression

Q: Archie was asked to find a quotient and remainder for 2838 ÷ 73. He incorrectly wrote that the…

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Q: Simplify the rational expression O A 11x²² 23 OB 121x²y³ 253 O c 11x³y³z 23x³ yz D 12x²y 121x²y³z…

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Q: Which of the following operations results in a rational number? O A. 36+0.4 O B. (5)(-2) O C. 1 O D.…

A: Option A A) 36 +0.4=6+0.4=6.4Result of option A is a rational number.Option BB) (-5)(2)=-10result of…

Q: Simplify the ratio of factorials. (8n - 1)! (8n + 1)!

A: Given            8n-1!8n+1!

Q: (-2)" 11n n=1 IM:

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Q: 1. What is the simplified form of (V16)°? (VA) b. (VA) а. с. 8 d. 6 2. How would you simplify this…

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Q: Combine the following rational expressions. 1 2x - 4 1 r2 x20 2+5 +4 a2- 4x- 5 TIP Enter your answer…

A: The given rational expression is,

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning? The…

A: For the rational expression: 714x To simplify it: 714xDivide numerator and denominator by…

Q: b. Simplify the following (Vm + n/36)(vm – v3) then classify if the result rational or irrational?

A: Note:- For sub- part (a), please resubmit the problem with mentioning the length because it's vary…

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A: Given: The width to height ratio is wh=25-1.   Rationalize the denominator. Multiply the numerator…

Q: Simplify the ratio of factorials (4n + 1)! /(4n + 3)!

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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: The formula (a/b) - (c/d) is written in fractional form as а) О(а-с)/(b-d) b) O (ad-bc)/(bd) c)…

A: Given that:a/b-c/d

Q: Write the following expression in the form ax" + bx", where a and b are real numbers and p and q are…

A: We have to find value of given expression in the form of axp+bxq

Q: How com the PEMDAS method is not used for the following formula?I tried it and produced an incorrect…

A: PEMDAS method say that given two or more operations in a single expression we follow the order of…

Q: 5а + 3 377. За — 2

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Q: The following properties are true EXCEPT A. 51 2l = lsl l2 C. 2= D. 1 + 22 = 3T + 32

A: To identify which of the given property of complex number is not true.

Q: What are the ways to find the LCD, of these following two rational expressions? 4 (numerator) over…

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Q: 1. A rectangular photo album is 28 cm long and 17cm wide. What is the perimeter of the album? 2.The…

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Q: verges, and n+2 b) n-1 8.

A: Given is the expression ∑n=1∞23n+2. We need to find the sum of this series.

Q: a) Simplify the expressions for A and B, x + 4 x + 9x + 20 where A 3x 9x and B = State the x + 3x –…

A: According to our guideline we are supposed to answer only the first three part of the question if…

Q: Translate this statement into its symbolic form: "For every rational number x, there exists a real…

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Q: Remember that algebra is just a symbolic method for performing arithmetic. (x²y)°(xy)®z² Simplify…

A: Simplifying the given expression.

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: Wha is 0.06 as a rational number

A: Given0.06

Q: 4. Differentiate the following. Simplify your answers. っ 7m)²/3r 116 エコノー

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Q: The following is simplified and solved using the Power of a Quotient Rule. 16 O True O False

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Q: From the following expression find the proper fraction x? - 6x +14 а) x' - 6x +14 b) x' + 2 х— 6 c)…

A: A rational function, fx=pxqx is proper if the degree of px is less than the degree of qx and is…

Q: Explain with words how you found your answer.  y=10cos(2pi/3(17.2-0.3))+50

A: Explain with words how you found your answer.  y=10cos(2pi/3(17.2-0.3))+50

Q: For the following fractional expressions x²+ 56 x+ 66 2 N= 4x- 126 and M x² - 96 2 x3+ 86 3 a) Find,…

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Q: Rewrite as equivalent rational expressions with denominator (a+4)(a+5)(a+7).  9a2+9a+20,7aa2+11a+28

A: Rewrite as equivalent rational expressions with denominator (a+4)(a+5)(a+7).…

Q: Simplify the ratio of factorials. (4n + 1)! (4n + 3)!

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Q: 2. Determine whether the following numbers are rational or irrational. Justify your reasoning. V36…

A: To determine the following numbers are rational or irrational.

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.