algebra

Q: 4. Recall that Z(G) = {r € G| gr = rg, Vg E G}. Show that Z(G) is a normal subgroup of G.

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Q: Look at this diagram: H. K If IK and LN are parallel lines and mzLMJ = 117°, what is MZKJM?

A: Given that IK and LN are parallel lines and m<LMJ=117°.

Q: 2. Let An define a determinant; and A70; give an expression and solve for x1 x2 X3. Show all work to...

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Q: 74, 100, 54, 82, 96 (3pts) Determine the average for the following six scores: and 68. Show your wor...

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Q: 2: Let 10 -1 0. -1 A = 0. 10 10 -1 -1 10 (a) Find the characteristic polynomial of A. (b) Find the d...

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Q: In each part, determine whether the vectors are linearly independent or are linearly dependent in R4...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 4. For what value of b will the quadratic equation 16x² + bx + 9 = 0 have one root?

A: Given,            16x2+bx+9=0To find : The value of b.

Q: 1. Using Solution C for Example 1 as a model, determine the factors of x + b³.

A: We need to find root of x3+b3

Q: There are Euclidean vector spaces with dimension 0 < dim < 00 that have no orthonomal basis. O TRUE ...

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Q: 2) -4x – 3x + 37y+ 148 = 0 x+y=-4

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Q: Write an explicit formula for an, the n" term of the sequence 6, 12, 18, ... zth Answer: An Submit A...

A: Given query is to find the nth term for the sequence.

Q: f(x) = – (x + 3)(x + 5) (x – 1) below the x-axis

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Q: th Write a recursive formula for An, the n term of the sequence 18, 15, 12,... An Submit Answer An-1...

A: Given:      18 , 15 , 12 , ........

Q: If the column space of A is C(A) = R", then det A ±0. O a. TRUE O b. FALSE

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Q: A company offers a discount for bulk sales of its product. The following graph models the price per ...

A: We have to find the interval in which there is highest rate if change.

Q: A. Identify the polynomial functions from the given set of expression by putting a check mark on the...

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Q: Solve. 2x2 - 7x - 15 = 0 3. O A. z = a = -5 2 %3D 3 O B. æ = I = 5 2' C. x = I = 5 2' O D. x = -- r ...

A: Given: 2x2-7x-15=0 To find: The value of x

Q: What is the value of x that satisfies the equation? 322x=162x+8

A: None of the given values of x satisfies the given equation.

Q: 5. Factor each expression. 8 a) 27 c) (x- 3)' + (3x- 2y 125 b) - 432x - 128x d) ot -512 512 6. Jarre...

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Q: In the triangular prism shown belaw, which lines are skew?

A: We have to fund the skew lines in the above question.

Q: AT If z, y ER" satisty z) + |y|| = |r+ yll, then z 1 V O TRUE O FALSE

A: True and false. 

Q: ded x + 3x³ – + x - 5, with a remainder of de by? 9x2 + 6 by a 4. |

A: Here is the solution

Q: ) Write the equation of the line after undergoing a transformation to he parent function y=x shifted...

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Q: Lesson 3.4 8. Describe the transformations that were appli to y = x² to obtain each of the following...

A: Given that:                      (a)y=-2(x-1)2+23 (b)y=1213(x+9)2-14(c)y=x2-8x+16         NOTE: As p...

Q: 5a 20 a – 16 Simplify. a + 4 5a (a – 4)² O A. a 25 OB. a + 4 OC. a -1 25a D. (a + 4)?

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Q: Multiply the following algebraic expression. Apply the laws of exponent. Show your solution. (4x2 +...

A: Please refer the attached image for complete solution.

Q: 71 Draw the graph of a polynomial function that has all of the following characteristics: f(2) = 10,...

A: Graph of polynomial

Q: 10. A parallelogram has vertices at (4, 4), (7,4), (5, 2), and (2, 2). The parallelogram is translat...

A: Given query is to find the coordinates of the parallelogram after transformation.

Q: Find the Banzhaf power distribution of a weighted voting system with five players in which the winni...

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Q: 1A. Find, if possible, A + B, А - в, 2А, 2A - В, and B + -А. 2 -3 4 A = 2 6. В — -1 -5 4 1 10

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Q: Write a recursive formula for an, the nth term of the sequence 5, –25, 125, ... aj = An Submit Answe...

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Q: (From "Math in Society" by David Lippman) The homeowners association is deciding a new set of neighb...

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Q: deposits

A: Please refer to the image below

Q: plumber is cutting a piece of PVC pipe that is to be 38 inches. The pipe must be within a quarter in...

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Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)...

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Q: 3. For a certain quadratic equation ax? + bx +c = 0, the 2 solutions are x = - and x =2. Which of th...

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Q: 5. Factor each expression. 8 a) 27 e) (x- 3)' + (3x- 2y 125 b) -432x 128x d) -512 512

A: As per our guidelines we are supposed to solve only three sub parts of the problem.For the solution ...

Q: Look at this diagram: R. U S. If QS and TV are parallel lines and m4QRU = 127°, what is MZTUW? %3D

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Q: Divide the following. Show your solution. 144x2y3 / 12xy

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) ...

A: given  S={ (2,-1,3) , (5 , 0 , 4 ) }S1=(2,-1,3)S2=(5 , 0 , 4 )

Q: Which of these 2 x 2 matrices is relevant to solving the following system of linear equations? 3x +y...

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Q: You deposit $6000 in an account earning 7% interest compounded continuously. How much will you have ...

A: We have to find the compound intrest for the money deposited in Bank 

Q: A population numbers 15,000 organisms initially and grows by 18.7% each year. Suppose P represents p...

A: Solution is here

Q: Find the general solution of the differential equation dy ya". %3D 5 O a. y=°y+C a +C O b. y= y = O ...

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Q: 4. LaDainian graphed the cubic function g(x) = x³ – 4x², and then vertically translated the graph 1 ...

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Q: 4: Let 6. A = | 0 7 0 0 7 (a) Find a matrix P that diagonalizes A. (b) Find PAP [using your answer f...

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Q: 3. Factor each expression. a) 64x + 27y c) (x + 5)' - (2x + 1) d) x + 64 b) - 3x* + 24x

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Q: If a1 1 and an 5an-1 then find the value of a4.

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Q: Divide the following. Show your solution. 2a3 + 5a2  - 2a - 8 / a + 2 =

A: We have to divide the polynomial. 

Q: Solve. 5 [2a- (x +3)] = 5- a %3D O A. x =- 10 B. x = 3 OC.x= - O D. a = 5/441 5 413

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