Solve the following problems completely. 1. If A = 52 10 -3 1 33 1-2 0 1 4 -6 -8 7. find |A|.

Q: 8. If (x - 2c)2 - 10(x- 2c) + 21 = 0, what is the value of x?

A: Given (x-2c)2-10(x-2c)+21=0Ans:We know that (a-b)2=a2+b2-2abLet x-2c=uu2-10u+21=0This is in the form…

Q: 3. Simplify the following expressions. A. 2/(x-3) B. (x-3)/5 5x 2x² + 7x +3 x + 3 2x² – 3x - 2 C.…

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Q: If all variables in the expression 5/x10y – 4x/xy represent nonnegative real numbers, then which of…

A: Given,          The expression is 5x10y9-4xxy9 .

Q: Solve for x.

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Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

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Q: If  A= [ 1  3  1 ]        And     B= [ 4  4  -4 ]      [ 3  1  2 ]                          [ -4  0…

A: AB=

Q: Find the value of |(-1)*+1 – (-1)*+2|. A. -2 B. (-1)" C. 2 D. I(-1)"| E. None of the above.

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Q: If x 0, which of the following is equivalent to the expression below? 8x-6x 2x A. &r-4x B. &-3 C.…

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Q: Solve the following equation for t. 14 - 21| + 5 = 12 %3D

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Q: If 5(z + 1) = 3(z + 2) + 11 Solve for Z a. 2b. 4c. 6d. 12

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Q: Solve for r. 2x - 10 R x+8 -1 О-11 O 9 O 1

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Q: The largest root of 9.50x2+38.43x+1.8=0 is

A: We have to find the largest root of 9.50x2 + 38.43x + 1.8 = 0 using Quadratic Formula.

Q: If then A-¹ = A = 0 0 -1 0 1 1 1 2

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Q: What is the value of x in ax- bx +3a - 3b = 0? %3D

A: Compare the coefficient of a and b .

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 1. Solve for X 3x 75 = 1+ ( =) а. 5 + 12 60 b. 500,000 = (7+ %3D 12,

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Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: Find the eigenvalue with smallest absolute value of the matrix A using the Inverse Power Method. You…

A: One needs to find the inverse of the matrix A, and then apply regular power method.

Q: 3 2 Find the value of x if 1 = 10. O 2

A: To find the value of x for the below equation. 321x=10

Q: -4 3 4= [1 2] and B = [1 2]. A - A(3B) = 0 1881

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Q: 6 + 7/25. 7/25 =

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Q: the slop of the line (2y - 4x - 7 = 0) is * O-2 4 2. O 7 4

A: Slope of the line

Q: Solve for x. 2 olve for x. 15

A: Problem 1 Formula to be used AB×AC=AD×AE

Q: / Find A" if 1 2 3 A = 4'1 5 1 %3D

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Q: Solve for x.

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Q: 3. Solve for x. a. 3 b. 8-x x + 2 X x +4 1 x+1 = 1

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Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

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Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

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Q: 4. How many positive integer solutions are there to the equation: x1+x2+x6 = 20

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Q: 2. For a positive real number b, the value V-b =

A: The given expression is -b

Q: 20. Solve for x. 27 x + 10 18

A: Intercept theorem states that if a line segment divides two or more parallel lines into equal parts,…

Q: :Find values of x if 2 1 2 = 0 1 2 13 6.

A: Let the given matrix be A, Given, |A| = 0

Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

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Q: If  A= [ -2  -1  2 ]       [ 0    2   1 ]       [ -2   1  4 ] A2 = ?

A: We have given a matrix A.  We have to find the matrix A^2

Q: 2. If (x + 1)7 = (x + 1)ª, for x > -1 and a is a constant, what is the value of a? а. b. C. 3 10 d.

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Q: 4. Find the first three terms of (2x - 5)20. What is the coefficient of x¹0? …..

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Q: If t<0 andt2-4=0what is the value of 3t+5?

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Q: = 55. Determine the value of n if (5)

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Q: (а) 3x< 5х—8

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Q: 3. State the discriminant of 6?^2 − 2? + ?, and state for which values of ? would result in two…

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