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

Q: counterexample for the statements that are false. a. a- bis positive. b. b- a is positive. c. b+…

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Q: 1 The rational expression can still be decomposed. (9x2 + 16)? A FALSE B) TRUE

A: The rarational expression in implicit form therefore cannot be decomposed

Q: 1. Evaluate in rational form (no decimals). (4)(3°) a) (32°*)(32') (4)(3²) b) 32

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Q: True or false: The coefficient of x4y7 in (3x – 4y)11 is (2)347. True False

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Q: Determine the non-permissible for the rational expression A) 16x^3 / 2x+12 B) 3x^2+2x / x^2 - 6x C)…

A: Non-permissible value for a rational function is a value of variable which makes denominator equal…

Q: 1) -V4 + vī 2) 0.03 – 2% 3) 3 0.2 10

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

A: A point x is said to be an interior point of S if there exists a neighborhood N(x) of x such that…

Q: V 3x dr, the result yields to AVx +B/3x+ Dx/x+C, for constants A, B, C. D. What is the value of A?…

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Q: Determine the non-permissible values for the rational expression 7v(2-v) 3v(1-2v) (Record your…

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Q: Which statement about k (x) x² -2x + 15 is true? %D - O The zeros are -3 and 5 O The zeros are -5…

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Q: 12 The non-permissible value(s) for the rational expressions 4 is (are) x2-4

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Q: _2 2. If f(x) = (x + 13)2 +(x- 5)° + (x +5) find f(3). If necessary, use the Math Editor X to write…

A: Given,          fx=x+1312+x-50+x+5-23

Q: 4. Determine whether or not the rational expressions x + 4 2x+8 are equivalent. and (+ 2)(x- 3) 2(x…

A: Solve by common method

Q: Which of the following is a rational expression

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Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

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Q: -√13 13 + 14 (a) (b) 5+3.681 (c) 11 x √13 (d) -√√17x √√3 Result is Result is Rational Irrational O O…

A: We can solve this as follows:

Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: 13. Simplify the radical expressions as the product o rational an irrational factor, e.g. V8 = V4.2…

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Q: 5 Suppose f(x)= )dr AV 4x-3 +C, for constants A and C, what is the value of A? 4x -3 Write the…

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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: 3 26. What is the remainder when f(x) = x' - 7x + 8 divided by x + 17 А. 14 В. 3 о с.-1 O D. 5

A: The given function is  f(x) = x3 - 7x +8 DDivide by (x +1)

Q: 26. What is the remainder when f(x) = x - 7x + 8 divided by x + 1? 3. !3! A. 5 В. 3 C. 14 D. -1

A: Solved below...

Q: Calculate R5 for f(x) 2x2 + 8x over [–1, 1]. (Give an exact answer. Use symbolic notation and…

A: "Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: 8. The following rational expressions are proper fractions except: x²+2x³-3x²+x-5 3x² - 4 C.…

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Q: Simplify the following rational expression: 3 2 x+1 x+2 Ox+1 O x²-x-2 x-1 x²-x-2 -x+1 x²+3x+2

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Q: Describe and correct the error in simplifying the rational expression or in stating the excluded…

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Q: Calculate R5 for f(x) = 4x² + 8x over [–1, 1]. (Give an exact answer. Use symbolic notation and…

A: Given

Q: The negation of “For all real numbers x, if x > 2 then x^2>4” is “For all real numbers x, if x > 2…

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Q: Rewrite the expression as a single rational expression. Z-4 I+1 2z+1 z-1

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Q: 1. Which of the following are rational expressions? Vx + 1 (b) 2x + 3 x (x2 - 1) (c) x + 3 3x (a) x²…

A: A rational expression is the ratio of two polynomials P(x) and Q(x), P(x)Q(x) where the denominator…

Q: Simplify the following rational expression: x+3 x-1 ÷ O x-2 x-1 O x-1 x-2 x+3 x-2 1 x²-3x+2 Ox²-3x+2

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Q: 2 0 Given that 3x² + p(1 – 2x) =-3. show that, for x to be real, p-3p – 9 2 0

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Q: nslate this statement into its symbolic form: "For every rational number here exists a real number y…

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Q: What is the zero of r (x) x +12 ? %3D O12 O 9/3 O None of the above /3

A: We put polynomial equal to 0 and find out the value of x. The value of x is our zero of r(x).

Q: 26. What is the remainder when f(x) = x³ - 7x+ 8 divided by x + 1? A. 14 В. З С. -1 D. 5

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Q: What is the domain of the following rational expression (include all types of restrictions) :…

A: Given problem:-

Q: 1 Which number is rational? 1) T 2) 4 3) v7 4) V 2 |2 Which is a rational number? 1) v8 2) T 5/9 4)…

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

Q: Evaluate the rational expresslon for the glven x-value. Express the answer as a fraction in simplest…

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Q: Soive for the quotient of the foiiowing 1.) x -x-9x + 9 + x-3 2.) x? + 2x2 - 9x -18 + x +2 3.) x +…

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Q: 2. Perform the following rational expression addition. x+3 X + x+1 x² - 2x

A: Solution: Given that expression is

Q: 3r + 10r-8 3r +r-2 is/are The non-permissible value(s) for the rational expression A. r+-1 2 В.…

A: 1. To find non permissible vale equate denominator to zero equate denominator to zero Hence Non…

Q: Find all values of the variable x for which the rational expression is undefined. 19 3x + 21 The…

A: A rational expression p=ab is undefined if b=0

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

A: Simplifying the given expression.

Q: 2. Adding rational expressions 2 a) x+3 x-1 + x+1 b) x+5 7x+10 x+5

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Q: In evaluating /2-V3 3x )2 - dr, the result yields to AVx + B/3x+ Dx/x + C, for constants A, B, C, D.…

A: Given query is to find the value of ABD.

Q: 3. Find the value(s) of v for which the rational expression is undefined: v2 + 6v + 5 v2 – 25

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

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: Fiad the lincar appronmation of the finction. f(x) =7T-Xat ä= O. L(X) = Then, Use L(x) = numbars…

A: Answer

Q: 1) -VA + Vĩ 2) 0.03 – 2% 3) 3 0.2 10

A: Our Aim is to evaluate the following:-1)-4+1Answer⇒-4+1=-2+1=-12)…