Q1 (3 points) Decide whether the following statements true or false. Justify your answer. (a) For any real x and Y, + y? > \æy\. (b) There is a natural m such that the quadratic equation mx? – 5x + 4 = 0 has two distinct real solutions.

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A: Use the formula for the area of the rectangle and simplify. 

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A: Topic:- algebra Note:- as per our guideline if more than three subparts posted than only first three...

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A: Given 4w+x+2y-3z=-16     ....(1)-3w+3x-y+4z=20     .....(2)-w+2x+5y+z=-4     ......(3)5w+4x+3y-z=-10...

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Q: 7 =1-2x エ|y -8-7-6-5 -2-1 2 3 可6

A: given: 7=1-2x       7=1-2x⇒7-1=-2x⇒6=-2x⇒x=6-2⇒x=-3 hence x y -3 -1 -3 0 -3 1  

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Q: Problem 2: Find the length of each side of the triangle determined by the three points P1, P2, and P...

A: Given:      Points of triangle P1,P2,P3 is           P1=-5,-4           P2=-3,4           P3=0,-1   ...

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A: Given that , A=$1 million=$1000000r=5%=5100=0.05t=26 yearsn=12 find Monthly payment.

Q: Solve

A: We will find matrix A. 

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Q: If the expression 4x 4 is written in the form ax'y°, then what is the product of a, b and c?

A: Solving the problem by simplifying it.

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A: see below the answer and explanation

Q: (3' 2 5 1 1. Determine whether v =2 is in the column space or null space ofA = -1 -7 -5 5. 3 4 -2/

A: Note -  Acc. to Bartelby guidelines , we are supposed to do only one question . If you want more to ...

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A: Letv1=2i^+8j^+3k^v2=i^+5j^+2k^v3=i^+j^Let v1=mv2+nv32i^+8j^+3k^=m(i^+5j^+2k^)+n(i^+j^)2i^+8j^+3k^=(m...

Q: Let U={ a, b, c, d, e, f, g} , X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} 7) Find...

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Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

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Q: Solve the system below by matrix inversion method: 4x1 – 3x2 = -3 2х, — 5х, %3D 9

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Q: 6. 18

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Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

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Q: SIMPLIFY x2 + 2x + xy + 2y x2 - 4

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Q: C. Write the linear system corresponding to each of the following augmented matrices. 1 -1 -2 1 1 1 ...

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Q: Factor the expression b4 - 8b? + 16

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Q: Solve the problem. Use what you learned from the example. 1 + A Jackie said that the fraction for po...

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Q: x +y - z = 0 2х — Зу + z %3Dо х — 4у+ 2z - 0

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Q: [1 21 21 B 3. [3 1 21 l4 3 1. and C = |3 4 Compute ABC if A =

A: We can compute ABC as below.

Q: How do you do this

A: We will graph the function. 

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A: Solution: f(x) =6x +1 g(x)= 5x-3

Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

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A: given that f(z) is analytic at z=1

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Q: Reorder the equation y=x^2-4x+3 into the form y=(x-h)^2+k

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Q: Write only the letter of your choice on your answer sheet. Which of the following graphs shows the s...

A: given inequality       x+5y ≥10 we know that x+5y = 10 is straight line with intercepts (10,0) and (...