determine the associativity and commutativity

Q: Use polynomial long division to divide f(x) = x3 – 5x² + 8x – 2 by x² – 2 and cotient and remainder.

A: See the details solution in below

Q: 7. Copy Angle A

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Q: Use the given definition to find f(A): If f(x) = a, + a,x + a2x + - ax is a polynomial function, the...

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Q: In a mathematics class, eighteen students received an A on the third test, which is 150% of the stud...

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Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If n...

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Q: Let f(x) = x4 – 8x? + 5x + 6. Use the rational zeroes theorem to list all possible zeros of f(x) Fin...

A: f(x)=x4-8x2+5x+6here p=6 , q=1Rational zeroes theorem:pq=±6,±3,±2,±1±1pq=±6,±3,±2,±1The possible rat...

Q: 18.Which of the following is the value of x as y varies directly as x and k 12 and y = 24? A. 2 B. 2...

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

Q: Direction: Sc 19. A table cloth is cut into parallelogram in which two opposite angles measures (8x+...

A: 19. opposite angles are equal in a parallelogram8x+34 =15x-1549=7x ⇒ x=497x=7so 8x+34 = 8(7)+34=56+3...

Q: The number y of objects a machine produces is proportional to the time x (in minutes) that the machi...

A: Solve by making equation

Q: Let T be the plane -3y-z --4. Find the shortest distance d from the point Po-(-5, 4, -2) to T, and t...

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Q: The Prairies ecozone includes the Manitoba Plain and the grasslands of southwest Saskatchewan and so...

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Q: Several students are going to ride their bikes from the city park to Lake Kegonsa, a distance of 25 ...

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Q: This question is not about solving the stated problem, but about understanding it. A rocket is launc...

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Q: Given r=6%, compounded quarterly for 50 years. find n (number of months) and i (rate per month). Wri...

A: We will find the number of months and the rate of interest per month in the following step.

Q: 7>12

A: We have to find solution of y

Q: Answer the questions below about the quadratic function. g(x)= 3x– 18x+ 31 Does the function have a ...

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Q: Write the following quadratic function in standard form: y = 2x2 – 4x + 5.

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Q: Which of the following trinomials can be factored into the perfect square (3x + 8)2? 9x2 - 48x + 64 ...

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Q: Find the sales tax and total cost of an espresso machine that costs $79.95. The tax rate is 8%. Roun...

A: Given, the cost of an espresso machine = $79.95 tax rate = 8% = 8/100 = 0.08 so the sales tax is the...

Q: Find the LCD between the denominators: 10x + 120x, 7x² + 87x + 36, 100x?

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Q: Suppose that A is a square matrix such that det A = 0. Explain why A cannot be invertible. Since the...

A: Here as asked by student we will have to mention the condition for which the Matrix A is not inverti...

Q: Add or subtract the following polynomials. (6x2 - 2x + 5) – (-3x2 - 4x + 6) O 6x2 + 3x - 1 O 10x2 + ...

A: We are given the polynomials    (6x^2 - 2x + 5) - ( - 3x^2 - 4x + 6)     Now we slove these polynomi...

Q: Counting technique: Five books are to be selected from a collection of nine books. In how many ways ...

A: We can use the method of combination.

Q: 27. VACATION SURVEY In a survey of 439 teenagers in the United States, 14% said that they worked dur...

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Q: 3. As follows: 6 Consider the following LP and its optimal tableau (Table 55): max z 3x1 + x2 X3 www...

A: Consider the LP  max z=3x1 + x2 -x3  such that  2x1 + x2 + x3 ≤ 8  4x1 x2 -x3 ≤ 10 x1,x2,x3 ≥ 0

Q: Main or subordinat 1. Abigail defends her name in the town: "She hates me, bitter woman, a lying, co...

A: We need to draw graph-

Q: Find 18th term of G.P  4,16,64

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Q: a + 567 Let W be the set of all vectors of the form Find vectors ui and v in R such that W = span {u...

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Q: b) Solve the following inequalities. (i) -5 9

A: We have to solve the inequality

Q: If a F (2) = zy +i (2² – y'), what is F (–1+2i)? O 2- 3i O 2- 31 O 2 + 3i O 2+ 3i

A: We have to find F(-1+2i)

Q: prove that a group G of order p^2, where p is a prime, is abelian.

A: Suppose, G is a group of order p2 where p is prime.

Q: 20.Which of the following is the value of y as y varies directly as x and k=2 and x = 10?

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Q: We have $20, given as 20 identical one-dollar coins (i.e. we have 20 loonies). Alex, James, and Pet...

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Q: ur times the sum of a number and three is ten less than six times the number. Find the number. Round...

A: Topic:- algebra

Q: 1 2 4 Solve the following system of equations. -5x+9y=D14 -4x+5y=9 = 0 y = 0 %3D 3.

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Q: The vector x is in a subspace H with a basis B = {b1, b2}. Find the B-coordinate vector of x. b1 b2 ...

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Q: What is the minimum of the function y = –x° + 3x for x < -1? O 2 O-4 4 O-2

A: We can solve it graphically. Graph of f for x&lt;=-1:

Q: 1. Let C be a contradiction (i.e. a statement that's always false) and let X be any statement. Use a...

A: Here is the solution

Q: If p is a prime, prove that any group G of order 2p has a normal subgroup of order p and a normal su...

A: To prove that any group of order 2p has a normal subgroup of order p and a normal subgroup in g

Q: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and 1...

A: This question is based on Arithmetic progression. an = a1 + (n-1)d

Q: Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer ...

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Q: Show all work to factor x4 - 5x2 + 4 completely.

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Q: Let u= and v Compute the area of the parallelogram determined by u, v, u-v, and 0, and compute the d...

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Q: Directions: Perform what is ask. Write your answer in a separate sheet of paper. Draw the perpendicu...

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Q: Show all work to solve 3x2 + 5x – 2 = 0.

A: Here,     3x2+5x-2=0⇒x=-5±52-4· 3-22· 3⇒x=-5± 72· 3⇒x=-5+72· 3, x=-5-72· 3⇒x=13, x=-2

Q: Substitute b in (2) to (1

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Q: f(x) = 8x+24. Show function for the inverse

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Q: A desalinization process is eliminating 10% of the salt from seawater every 10 minutes. There are in...

A: We need to find exponential function.

Q: Find the rank and the nullity of the matrix 0 0 0 1 -9 -2 A 1 1 -1 0 rank(A) nullity(A) = rank(A) + ...

A: GivenA= 0000-1111-9-2-1-106-1Here we have 3×5 matrix means we have maximum 5 variables

Q: Write the number in standard, word, and expanded form. 5 ten thousands 8 thousands, 3 hundreds 7 ten...

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