(a) 7(x+ 1) + 5 > 3 (r+ 4) – 1 - 2x- 5 > 4(x+ 1)+3 or The solution set is {} (0,0) -00 [0,0) (0,0) (0,0)

Q: 3. A quadratic has an axis of symmetry of x = m, and the quadratic has an x-intercept at (m, 0). The…

A: Standard form of a basic quadratic curve is y=x2 Given that the axis of symmetry is at x=m That…

Q: -3 -5 -5 A = -10 -10 2 -6 Describe all solutions of Ax = 0. x = x2 +X4 +x3

A:

Q: Prove that equation x2 + 2x +1 + y² = 0 has only one solution: x = -1 and y = 0. Individual steps of…

A: You just need to order the steps. The solution is given below.

Q: z+ 2y-z 3 -2x-y+z=-1 6x 3y-z -7 O no solution O exactly one solution O Infinitely many solutions

A: Recall: If a system has at least one solution , it is consistent .( If  a system has exactly one…

Q: an = 6an-1-11an-2 + 6an-3 with the initial conditions ao = 2, a₁ = 5 and a₂ = 15. The solution to…

A:

Q: Use Separation of Variables to find the general solution. V1 - x²y = 3xy (Express numbers in exact…

A: Given : Differential equation 1-x2y' = 3xy   To find : General solution of the given differential…

Q: 1 2 - 3 0 1 0 0 4 - 3 DA. X1 = 13+ 11x3 X2 = - 3- 4x3 X3 = 0 O B. x, = 13+ 11x3 X2 = - 3- 4x3 X3 is…

A:

Q: 7. If the quadratic equation x² + (k – 2)x – 2k = 0 has real and equal roots then A (k– 2)² = 0 B (k…

A:

Q: U.S. Energy Consumption Energy consumptionin the United States in quadrillion BTUs can bemodeled by…

A: Given: U.S energy consumption is modelled as C(x)=-0.013x2+1.281x+67.147. (a) One solution to the…

Q: Express Constraint 1 to mathematical statement. 0.8x1 + 0.2x2 + 0.2x3 + 0.2x4 = 0 0.8x1 - 0.2x2 -…

A:

Q: 7b. (x+5) =11 7b. 3(x- 4)2 =15 (x+5)2 = 11 x+5 =+V1T x=- 5+ ViT The solution set is {-5+11, - 5-…

A: given,       3x-42=15

Q: z= - 3i is a solution of z2 +9 = 0 z2 -9 i = 0 %3D z' +3 = 0 z2 +3i = 0

A:

Q: 6) Solve this problem using simplex method. Min z= -5x1 - 3x2 + 2x3 Subject to: х1 + x2 + х3 — 0

A:

Q: With Solution) Find the particular solution of xy' - 2y = -x ; when x = 1, y=5 a. y = x+4x² b. y =…

A:

Q: Find the general solution of x'1 = x2 - x1 + t, x'2 = x2.

A: The given differential equation are - x'1 = x2 - x1 + t   and   x'2 = x2 We can re-write the…

Q: f (x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

A:

Q: 3 2 Let A -4 Find the general solution of x' -1 Ax.

A:

Q: 2- -8 8: What are the solutions to x² – 4 = 0? O A.X = 0 and x = -4 O B. x = -2 and x = 2 OCX 4 and…

A: We have to find out the solutions of the graph

Q: minimize f1(x) = 5x1 – x2, f2(x) = x1 + 4.x2]| subject to -51+ 2x2 3 Xi + 2x2 > 4 X1, X2 > 0…

A:

Q: Constrained optimization Does problem min (x2+ 100)2 + 0.01x12, subject to x2 - cos x1 > 0, have a…

A: Step:-1 Given that min  x2 +1002 +0.01 x12   subject to   x2 -cosx1≥0  Take fx1, x2 = x2 +1002 +0.01…

Q: 30. Discuss the behavior of the solution of x" – x + 3x² = 0, x(0) = 0, x'(0) = 1. %3D %3D

A:

Q: x1+3x3+4x5=4 x2-x3+4x5=7 x4+2x5=5 Find the solution

A: Given that x1+3x3+4x5=4 x2-x3+4x5=7 x4+2x5=5

Q: (i) Use x.and x.as the initial basic variables and apply simplex method to solve: Маximize: z - бх.…

A:

Q: x2+(m-2).x+4m-6=0 The roots of the equation are x1 and x2. So what is the minimum sum of x12and x22

A: Given that: x2+m-2x+4m-6=0 To calculate the root of the equation:…

Q: 3 6. Let A = -4 Find the general solution of x' Ах.

A:

Q: 19. Solve by elimination. 3x+7y=23 -3x-7y=-17 a) Infinite solutions b) (-3,3) с) (3,3) d) No…

A:

Q: A fast food restaurant has a cost of production C (x)=12x+90 and a revenue function R(x)= 7x. When…

A: I am going to calculate that when the company will start to run on profit just when revenue equals…

Q: | For which rational numbers A does the homogeneous system x + (A- 3)y (1 – 3)x +y have a…

A: If the homogeneous system has non trivial solution then determinant of the matrix become zero

Q: 2x2y''+3xy'-y=0 , x>0 y1(x) = x1/2  y2(x) = x-1 Show that y1 and y2 given above form a basic…

A:

Q: -4 3 -5 A = -16 12 -20: Describe all solutions of Ax = 0. 十X4 +X3 x = x2

A:

Q: Minimize z = 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 3, 3x1 + 2x2 + 2x3 8 using two…

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

Q: Max Z = 3X1 + 2X2 Subject to: X1 + 2X2 =0 a) Find the optimal solution of the duality using the Big…

A: Max Z = 3x1+2x2Subject to:  x1+2x2≤6 2x1+x2≤8-x1+x2≤10.x1+x2≤2;After introducing slack variables Max…

Q: |1 2 3 4 10 Given: p: Two linear functions have different coefficients of x. q: The graphs of two…

A:

Q: 1. Long division Solution: - X-1 x3 - 3x2 + x- 1 M Remainder: X-2 AMOO Quotient: x3-2x2 - x2 notour…

A:

Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.

Q: 3)The owner of a small-appliance manufacturer finds that if the firm produces and sells x blenders…

A: The profit function is defined for x≤225 because the owner wants to produce no more than 225…

Q: z= - 3i is a solution of z2 +3i = 0 z2 - 9 i = 0 z2 +9 = 0 z3 +3 =0

A: Third option is correct

Q: Y=-2x^3 +6x^2 -1 What are the local min and max points ? What are the absolute min and max points ?

A:

Q: match each equation in the first column with its solution in the second column. Items in the second…

A:

Q: 2. Obtain the solution set of z* - j3z² – 2 = 0. (Hint: factoring and quadratic formula)

A:

Q: у"-2у'-Зуже2х Solution by D- operator method

A: CF + pi

Q: an = 5an-1 -6an-2t | do = -2 i) what is the quessed solution ofnom

A: Given recurrence relation is   an=5an-1-6an-2+5n5, a0=-2, a1=5

Q: Q:Determine a solution for the pDE, and canjecture the form of the general Solution マン fnbtれてhiy h-

A: Given, homogenous Partial differential equation  uxx-4uyy+2ux+4uy=0 Substitute uxx=D2u, uyy=D'2u,…

Q: Solution 1 y = (x +3)(2x − 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x – 15 y = 2(2x)2-1 +1-0 y' = 4x+1…

A: We will interpret what the three solutions represent in the following step.

Q: 4. 6x- y+3z=-3 x+3y- z=-13 3x+3y-4z=-23 a. there is one solution. the solution set is {__ __ __} b.…

A:

Q: z=-3i is a solution of z2+9=0 z' +3 = 0 z² + 3i = 0 z² - 9 i = 0

A: Let z is a complex number. We can represent as z =a+ ib. Where  i=-1

Q: 4. Which of these stnadard form equations is equivalent to (x+ 1)(x-2)(x+4) (3x+7)? O x* + 10x +…

A: value=?

Q: 日:日 -1 0 -2 6. 2 1 -5 17 3 3 4 -6 Ox = 0, y = 3, z = 3 is a solution %3D Or= 0, y = 3, z = - 3 is…

A:

Q: 1 2 -1 -2 Find the solution of X' = AX, where A= 1 0 X(0) = 1 1 4 -4 5 10

A: Solve system of differential equations