(how to solve this problem) How many different rays can be formed from five collinear points ?

Q: −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-the-square method.…

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Q: (2) 2x₁ + x₂ + x3 = 1 X₁-2x₂-3x3 =1 3x₁ + 2x₂ + 4x3 = 5 (Ans. x₁ = 1, X₂ = -3, X3 = 2)

A: We have to apply cramer's method to solve the system of linear equations.

Q: 1 Is λ = 3 an eigenvalue of 2-2 0 2-6 9? If so, find one corresponding eigenvector. 1 2 Select the…

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Q: Find the eigenvalues and eigenvectors for A The eigenvalue a + bi = The eigenvalue a - - bi= has an…

A: The given matrix

Q: The sum of three numbers is 11. The sum of twice the first number, 5 times the second number, and 6…

A: The sum of three numbers is 11. The sum of twice the first number, 5 times the second number, and 6…

Q: 8 -6 2 10 - 6 process to produce an or he orthogonal basis produced using the Gram-Schmidt method…

A: Let the first orthogonal vector be

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 65 56…

A: The given matrix is

Q: Question 20 Give all possible values of I if n = 2 0 + 1/2 02 O 1, 2, 3, 4 O-3, -2, -1, 0, 1, 2, 3 O…

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Q: Question 14 την ειρησε on 21sequel το 25,4 25, 2 (6) A True (B) False

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Q: Show that the points form the vertices of the polygon. Right triangle:    (-5, 7), (-1, 9), (1, 5)…

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Q: Determine if the interest rates below are nominal or effective (or effective annual). 5% per year…

A: We must take the compounding frequency into account in order to evaluate if it is a nominal or…

Q: Problem #10: Find the solution to this problem. Include a diagram and a full solution. Gursant and…

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Q: A theater is presenting a program on drinking and driving for students and their parents or other…

A: Let = number of adultsand = number of studentsthen we want to maximize the revenue  subject to the…

Q: monte (mull Find the common ratio and write out the first four terms of the geometric sequence…

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Q: Write the resulting matrix after the stated row operation is applied to the given matrix. Replace R3…

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Q: minimum of the function z=-2x1+x2 under the constraints system {3x1-2x2≤12 -x1+2x2≤8 2x1+3x2≥6 x1,…

A: To minimum of the function  under the constraints system.

Q: 2x₁ + 3x₂ = 8 x₁ +4x₂ = 9

A: As per the guidelines I am answering only one questions.

Q: Write the arithmetic sequence -15, -22, -29, -36, ... in the standard form:

A: Given

Q: Write down the first five terms of the sequence an = 1 = 2 = 03 = 04 = 05 = (n + 5)! 7n²+6n +6

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Q: (1) 2x₁ - 3x₂ - 3x₁ + 5x₂ = 2 (Ans. x₁ = 1, X₂ =1)

A: As per our guidelines we are supposed to answer?️ only one question.Given

Q: FactoR. (If the expression is nonfactorable over the integers, enter nonfactorably X³ + 3 +216

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Q: 2, -3,1), u₂ = (1,4, -2), uz = (-8, 12, -4) -3, -5, 8) span R³. (You don't need to prove G = {4₁,…

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Q: factoR. (If the expressions is honfactorable over the integer, enter honfact orable). 8a²+ 6lab-2462

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Q: X2-420

A: The Given inequality

Q: Let W be the subspace spanned by u₁ and u2, and write y as the sum of a vector in W and a vector…

A: Let W be the Subspace Spanned by u1 and u2,Write y as the sum of a vector in W and a vector…

Q: Find the logarithm. log2 √2 log₂ √2 = 0 (Type a fraction.)

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Q: Let the matrix below act on C². Find the eigenvalues and a basis for each eigenspace in C². 14 [H]…

A: Given 2×2 matrix.

Q: At a FedEx factory Paul can fill a delivery truck in "m" minutes. His colleague Jason can fill a…

A: Solving the problem

Q: Factor. x+x4 -8x³y² +12 x+x4-8x²

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Q: Determine whether a relation is a function. Explain. Input,x 16,1,0,1,16 Output, y -2,-2,0,1,2

A: Explanation of the answer is as follows

Q: 4. Evaluate x² + y² xyz dz dx dy. -1 0 x² + y² (Hint: use change of variables to covert it into an…

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Q: For the sequence defined by: a1 = 3 an+1 Find: a2 = a3 = a4= 5 an +3

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Q: Find the partial sum S17 for the arithmetic sequence with a = 8, d = 7. S17

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Q: Find the eigenvalues and eigenvectors of the given matrix. - 3 5 -1 15 The eigenvalue(s) is/are…

A: Matrix is given. -15  3   5  -1

Q: 2x1 + x₂ + x3 X₁-2x₂-3x3 = 1 3x₁ + 2x₂ + 4x3 = 5 (Ans. x₁ = 1, X₂=-3, X3 =2)

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Q: 7. Is this a linearly independent subset of R³ ? {(1, 4, −6), (1, 5, 8), (2, 1, 1), (0, 1, 0)}…

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Q: Question 6 < A payday loan company charges a $30 fee for a $500 payday loan that will be repaid in…

A: The total loan amount P=$500 The charge amount for the 13 days is  c=$30

Q: 2. Determine the root value of the equation in the 4th iteration of the equation below with using…

A: x3(x-1-3x+x-2) = -x x3(x-1-3x+x-2) +x=0

Q: Write an explicit formula for the sequence: 1 1 1 1 1 [1 3 4'5' 6'7' 8 an - ...

A: Given:- (1/3), (-1/4), (1/5), (-1/6), (1/7), (-1/8)

Q: 4. (a) Determine the volume of the solid obtained by rotating the region bounded by y = (x - 1)² and…

A: Since you have posted multiple questions and I can answer first question as per our company…

Q: Use the leading-term test to match the function f(x) = -x + 2x5 - 3x² with one of the following…

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Q: Let F be a field, and recall that P(F) denotes the vector space of all olynomials with coefficients…

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Q: Factor. (If the expression is nonfactorable over the integers, enter nonfactorable) 2 (x+y)² rtv

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Q: The path of a ball thrown in the air is given by: b(t) == 5t+10t + 2. The path of the dog chasing…

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Q: Let Find a spanning set for the null space of A. 6 - [º A = 3 3 -2 -3] 2

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Q: Find the change-of-coordinates matrix from B to the standard basis in R". 6 - 1 7 000 4 -5 5 -7 6 B=

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Q: Determine whether the sequence is arithmetic, geometric or neither. 0.2, 1, 5, 25, 125 ... Select an…

A: To determine whether the following sequence is arithmetic,  geometric or neither.If the sequence is…

Q: Compute the following matrix product: You can resize a matrix (when appropriate) by clicking and…

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Q: hogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 94 4 3…

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Q: Given the three matrices below, determine which of the following expressions are defined. If an…

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