Question 7. Determine the values(s) of k for which the following system has a unique solution and use Cramer's rule to find the solution: 5x1 + X2 + x3 4 + 2.x2 + kx3 k 3x1 x2 + 2x3 -k I| |||

Q: P(A) = 0.8; P(B) = 0.7 and P(A∩∩B) = 0.6.  Determine P(A∪B).

A: Given problem Given that   P( A ) = 0.8 P( B ) = 0.7 P( A ∩ B ) = 0.6  P( A ∪ B ) = ?

Q: (A) 0 B) abc D 2abc -1 -a b с Evokate-2016 Evaluate-2a +4x 2b-4y 2c +42 x -Y

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Q: Suppose the following system is consistent for all possible values of f and g. What must be true…

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Q: 7x1 + 3x2 :-5 Use Cramer's Rule to solve the linear system 3x1 + x2 = 3 %3D

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Q: brightspace.ccc.edu Quizzes-Spring 2024 MATH 204-1 HJL WR-City Coll... Find the 2n 33 Differenciate:…

A: Step 1:

Q: If (x-2y)=-4 and am=6, then 2amx+4amy=_____

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Q: Suppose the following system is consistent for all possible values of f and g. What must be true…

A: We can find the values of c and d for consistent solution.

Q: Invert A and C by any method but without electronic assistance.  A is 2x2, and C is 3x3.   A =…

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Q: Use Cramer's rule to solve the following set of equations, 2x1 + x2 =44 x1 + x2=72 3x1 + 5x3=69 2x2…

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Q: Minimization: Z = 5X, + 6X, + 10X, + 7X, + 19X5 Subject to: %3D 5X, + X2 + 3X3 – 4X, + 3X5 2 2 -2X,…

A: In this problem we can observe that all Xj ≥0 and so, Z can be minimum 0 as all coefficients of Xj…

Q: Ive: x- 2 x- 2 3 %3D 2/3

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Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Let k be a real number. By using Cramer's rule, the solution of the following system is: (2x + 2y =…

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Q: О x₁ - 2x2 - x3 + 3x4 Х1 -2x₁ +4x2 + 5x3 - 5x4 3x1 - 3x2 - x3 + 4x4 X1 +x2 - 3x3 - Х4 = 0 3 2 -2

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Q: Find (f – 9)(x) if f(x) = -3a? + 2x – 3 and g(æ) = 2x2 – 3x + 4. O (f - 9)(x) = 5x² – 5x + 7 • (f –…

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Q: Let A= [-3   2   5                    B= [2   0   -1              0   -1   4…

A: The given matrices are  A=-3250-142-31 and B=20-13-22-140

Q: fe)=4x- 5 and g(x) +3x- 1, then find fg(x) Ax + 12x - 9 + 4x +5 Ax + 7x2– 19x + 5 Y +7x 6 16a2 28x…

A: Topic - functions

Q: Find the product of (2x+ 3)(3x- 2) A 6x + 9x – 5 B 6x + 9x - 6 C6x +5x- 6 D 622 6x + 5x-5

A: (2x+3)*(3x-2)=?

Q: Find the "best solution" to the following system. x1 + x₂ + x3 = 4 -x1 + x₂ + x3 = 0 -x₂ + x3 = 1 x1…

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Q: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. X1 + 5x2 – x3 = 7 4x1 + 3x2 +…

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Q: what does P(A∩B) = if P(A)=0.63, P(B)=0.47, P(B∩A¯¯¯¯)=0.27

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Q: Suppose x = 2u - 4v + 1w and also x = -lu - 2v+2w. Find another solution: X = +[v+]w V+ W u+

A: We are given         x = 2u - 4v + 1w      . . . . . . . . . (1)    and x = -1u - 2v + 2w    . . . .…

Q: а. (4D + 1)(D — : с. (D — х)(D + х)

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: x= -4 is a solution to 8 x + 4 ± 6x-2. O True O False

A: Given,           x=-4 is a solution to 8x+4≠6x-2.

Q: Find (f + 9)(x) if f(x) = -322 + 2x – 3 and g(a) = 22? – 3x + 4.

A: (f+g)(x)=f(x)+g(x)

Q: For each of the following systems describe for which value of a and 3 the system admits one…

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Q: 1. The Lichti family member are very competitive card players. They keep score using a complicated…

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Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

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Q: 3. Prove or disprove: there exist rational numbers a and b such that a/b is irrational.

A: Suppose there exist rational numbers a and b such that a/b is irrational.

Q: Solve the following differential equation by using variation of parameters: X^2y" - 2ху'+2у-х^4е^х

A: Given - x2y'' - 2xy' + 2y = x4ex To find - Solve the following differential equation by using…

Q: m(x+2)- m(x) If m(x) = - 2x+1, what is -2

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Q: 22 - z - 20 22 - 4z – 5 Simplify: 22 + 9z + 20 22 + 7z + 10

A: the given expression is: x2-x-20x2+9x+20÷x2-4x-5x2+7x+10 we have to simplify the given expression.…

Q: Use Cramer's Rule to solve for = (1, 2, 3) in the following system of equations: 4x1-4x2-5x3 = -3…

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