Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x + 4x², P₂ = 1- x + 3x² and p3 3 + 2x + 5x²

Q: find the square(p-11)^^

A: Known fact:The algebraic identity (a−b)2 = a2−2ab+b2.

Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

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Q: [-1 -1 21 Let A = = [23] 3 7 Write b as a linear combinations of the columns of A b= a₁t and b a2

A: Given,                A=-12-37, and b=-7-23. To write b as a linear combination of the columns of A.

Q: Rotate the quadratic function 5x^2 + 3y^2 + 2z^2 + 4xz = 14 to its principal axis. ( express as a…

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Q: 5x-5u2-ux+25u

A: Rearrange the terms first.

Q: (25-x2)2 Vx2+2x+5

A: We have given,

Q: How do I enter the variables in SPSS?

A: Given data

Q: divide ex 1: (16p3+8p2+5p)+4p ex2: (5ox2+15x-35)+(1ox-7) ex3: (10x3+25x2+30x+10)+(10x+5)…

A: 1.) (16p3+8p2+5p) + 4p = 16p3+8p2+(5+4)p = 16p3+8p2+9p   2.) (5ox2+15x-35)+(1ox-7) = 50x2+(15+10)x…

Q: Demonstrate how to find the LU factorizing for A

A: Given that, A=3-7-2-3516-40 We need to find the LU factorization of matrix A.

Q: Which of the following polynomials is a difference of​ squares? A.49x^2+64 B.7x^2-8…

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Q: Expand and simplify: (9z - 2z+ 10)(3z + 12)

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Q: 6x + 8y = 3 (a) 3x – 10y = 5

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: 1 х°— х5 +2х? — 3 dx -1

A: topic - definite integral note : As per bartleby guidelines, we are supposed to answer only first…

Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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Q: FCx)= 5x²_ 5x²- 8x+5; f(-4) 3

A: Given: ----------------------------------------------------- To determine: F(-4)

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

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Q: write x2 + 3 as a linear combination of {x2 + 2x, x2 - 1, x + 2}, if possible.

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Q: (z^3-7z+8) - (5z^3+9z-1)

A: We have to subtract the two polynomial (z3 - 7z + 8) - (5z3 + 9z - 1)  = z3 - 7z + 8 - 5z3 - 9z + 1…

Q: Answer is supposed to be in the form of a 4x4 matrix

A: Ans- Given the input-output table involving four sectors of U.S economy in the year of 1977. To…