6. Solve for x. a) x- 5 = 7 b) 2(x+ 1) = 10 c) 5x – 8 = 2x + 3 d) -5x + 1 = 3x + 2 e) 8 = 4x – 4 f) -2x + 3 = 7

Q: 2. Determine the next equation and verify the result 3 = 3(2)/2 3 + 6 = 6(3)/2 3 + 6 + 9 = 9(4)/2 3…

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Q: how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6…

A: The given equation is -  x1 + x2 + x3 + x4 = 29 where x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5 We have to…

Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

A: Given the system of equation is AX=0 where

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: art of z- 2z, if z = a+ib ?

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Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: The set of of solution of x2 - 5x+ 6 0 in Z12 is (a ).{2,3,4} d){2,3,6,11} (b) {2,3} (c) {.2,3,6}

A: Hence option (b) is correct.

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that…

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Q: Use the given LU factorization to find all solutions to Ax = b 0 5 1 0 0 15 A = 4 1 0 0 -2 |, b 54…

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Q: Prove that the equation ! + = 1 has no solutions in positive integers æ, y, z.

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Q: Express in terms of i. V- 54 -54 %3D (Simplify your arswer. Type your answer in the form a + bi.)

A: Given : -54

Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

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Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.

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Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: Give a counterexample to show that (AB)-1 =/ A-1B-1 in general.

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Q: Select all equations that are equivalent to x2 + 6x = 16. O x² + 6x + 9 = 0 O x2 + 6x + 9 = 16 O x2…

A: Use the formula x2+2xy+y2 = (x+y) 2

Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

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Q: on Ax) = %3D , as x →-o? x - 6x + 5 ' .2 - 6x+

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Q: Solve the following IBVP: 0 0, u(x,0) = 2 – 2x2, u(x,0) = 0, 0 0, %3D %3!

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Q: Show that x = e4t is a solution to x"" – 12x" + 48x' – 64x = 0. Show that x = et is not a solution…

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Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

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Q: Find |12u -3vV|| , given that u and v= (Approximate answer to 2 decimals)

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Q: If x,y,z are real numbers satisfying the equation 25 (9x* +y° )+9z²-15(5xy+yz+ 3zx )=0 then prove…

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Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

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Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact…

A: topic - application of derivatives

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

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Q: If g(x) = f(r²), then g(-3) =

A: We find g'(x) using the chain rule

Q: 1) ciated with the quadratic form )² – 5x,x, + 6(x,)2.

A: We have to solve the problem

Q: Give a proof by cases that [4x] = [x] + [x + ¼ ]+ [x + ½ ] + [x + ¾ ] %3D

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Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: -In ADOG, mZD = 4x, mz0 = (3x + 10), (2x + 17). Find mz0. %3D and the mzG =

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Q: Solve y"+y' + y = 6sin (2x) supo

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Q: 3. Find the general solution to: xi = 4x1 + 2x2 + 3et x2' = 2x1 + x2 + et. %3D

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Q: What is the midpoint between z1 = 3 + 9i and z2 = 4 - 12i? (0.5,-10.5) (3.5,-1.5) (-2,-2.5) (6,-1.5)

A: Explanation of the answer is as follows

Q: 3. Is (3,8) a point on y = 3x - 1?

A: if (3,8) is a point on the line y =3x-1 then it should satisfy the equation y =3x-18=33-18 =9-18 =8…

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

A:

Q: 3. If AB = 7x – 13 and YZ = 2x + 4, what is the length of YZ ? Ox-13) 2x+4)

A: Midsegment theorem According to this theorem, line segment joining the two sides of a triangle is…

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

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Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

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Q: AB = 8 %3D M2PQR = 140° %3D O y= 1 x is seven units greater than y. MLABC = 122° %3D PQ = 3 MAY tv…

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Q: In ARST, mZR = (6x + 10)°, mZS = (2x + 5)°, and mZT = (3x – 11)°. Find mZR. -

A: The sum of three angles of a triangle is equal to 180°. Equate the sum of the given three angles to…

Q: 5. ) If 3x + 4yi = Z2, what is x + y equal to?

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Q: Compute: (2 -i OC/2-i3) r:

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Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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Q: 3.

A: