28.Use linear equation with a work check at end. An appliance store buys 6 washers and 5 dryers at a total cost of $1949. Another appliance store buys 4 washers and 5 dryers from the same wholesale supplier at a total cost of $1561. Find the cost of one washer and one dryer.
Real Life Application of Linear Equations: A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year. What is the y-intercept for this model? Describe what it means in terms of the model. What is the slope for the model? Describe what this means in
A manufacturer finds that the cost y of producing x units is given by the formula of the form y=mx+b. If it costs $1300 to produce 20 units and $1750 to produce 35 units, what is the fixed cost?
Please discuss the following: - Explain why vectors QR and RQ are not equivalent. - Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
Factorize 513833.
1) Let A be a linear operator on n-dimensional vector space V if {see attachment}. For some {see attachment}, prove that matrix representation {see attachment} of A with respect to a basis ... Please see attachment for complete question.
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (There should be and easily identifiable primary and secondary equations).
A rectangle window is framed by two rectangular shutters. The window is twice as tall as it is wide. The shutters are as tall as the window, and their widths are 24 cm less than their heights. The combined areas of the shutters total the same as the area of the window. Find the heights. The combined areas of the shutters total t
1. a) Consider the problem of cubic polynomial interpolation p(xi) = yi, I = 0,1,23 with deg(p) ≤ 3 and x0, x1, x2, x3 distinct. Convert the problem of finding p(x) to another problem involving the solution of a system of linear equations. b) Express the system from (a) in the form Ax = b, i
Hello. I'm trying to do a principle component analysis of the following file of "good values" - to create a good data signature. I need to find the eigenvectors of each data series. How do I derive the eigenvalues (or eigenvectors) and what are they from this data set? (If you could explain how to do it in matlab, that wo
Suppose that the random variables X1, X2 and X3 have the covariance matrix... (i) Determine the three PC's based on ∑. (ii) What percentage of the total variation is explained by each of the PC's (iii) Calculate the correlation coefficients between the first PC and each of the variables X1, X2 and X3. (iv) What are the PC'
Consider the following (3x3) matrix A... Find the eigenvalues and eigenvectors of A and hence its spectral decomposition. Hence find... Please see attached for full question.
Let R={[a 0] | a,c,d Ɛ Z } and define I={[m 0] | m,n Ɛ Z}. [c d] [n 0] (ii) Is I an ideal in M2(Z)={[a b] | a,b,c,d Ɛ Z}? Why or why not? [c d] I did part (i). So, I only need help on part (ii) Please see attached for full questio
Problem 8.1 (Prob. 11, p.251) Solve the following system of equations. { x' = y { y' = -x Problem 8.2 (Prob. 18, p.251) Solve the following system of equations with given initial conditions. { x' = -y { y' = 10x - 7y { x(0) = 2 { y(0) = -7
1. In real-world situations, what is the advantage of using the Method of Substitution to solve a system of equations rather than using the Method of Addition? 2. When solving a 3 x 3 determinant, we broke the determinant down into a sequence of 2 x 2 determinants, remembering to alternate the signs of the leading coefficient
Solve: 2X + Y = 8 4X + 10Y = 20 Find slope: A ( 4, 6) B (2,3)
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the price of the black pens?
Functional Analysis and Normed Linear Space Suppose thatΕ and F are normed linear spaces and Ε ≠ 0. Prove that ℓ( Ε, F ) is complete, then F i
Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.
1) Which of the following equations describe the same line as the equation 3x+ 4y =5? a. y = (3/4)x + 5 b. 6x + 8y = 5 c. y = (3/4)x + 5/4 d. 5 - 3x - 4y = 0 e. none of the above 2) The equation of the vertical line passing through (-3,5) is a. x = -3 b. x = 5 c. y = -3 d. y = 5 e. none of the above 3)
Suppose that E is a normed linear space. Prove that if E* is separable, then E is separable. **See attachment for complete problem. Thanks!
Suppose that is a Banach space over K. A subspace M of is said to be complemented in if there exists a subspace N of such that =M N, that is if , then there exists in M and in N such that , and M N . Prove that each finite dimensional subspace of is complemented in . Hint: Suppose that M is a finite dimens
An electron is accelerated in a linear particle accelerator. At time t = 0, its speed is v0 along the axis of the accelerator, and it is subjected to a force producing a constant acceleration of magnitude a. Select the option which represents the formula most appropriate for finding the distance s that the electron has travel
I must solve the following linear equations using matrix methods. x+y-z=-8 3x-y+z=-4 -x+2y+2z=21 I am trying to understand the method of solving for variables of linear equation by forming them into a matrix and solving for the variables. Please help.
Let A = {see the attachment} a. Solve x' = Ax b. Solve x' = Ax subject to x(0) = 0.
Consider the attached system of differential equations. x' = xy + x y' = xy + y^2 a. Find the equilibrium points associated with this system. b. Linearize the system about each of the equlibrium points you find in part a.
Subject to the conditions x(0) = 0 and y(0) - 1, completely solve the following system of differential equations: x' = x y' = xy + e^t. See the attached file for the given problem.
Given that y=x is one solution, find a second linearly independent solution: (x^2 - x + 1)y" - (x^2 + x)y' + (x + 1)y = 0.
Let = c = C is a continuous function . Let = sup : , for each f in Define T: by (T ( ))(t) = for each t , and For each f in . a) Show that is a bounded linear operator on . b) Compute , For each n in N, and compute . c) Suppose that g . Show that the integral equation
Solve for x(1), x(2), x(3); 1. 27,954.606 x(1) + 11,969.843 x(2) - 7515.1688 x(3) = 6124.3394 2. 11,969.843 x(1) + 5900.332 x(2) - 3586.4121 x(3) = 3054.3092 3. -7515.1688 x(1) - 3586.4121 x(2) + 2513.4532 x(3) = -1756.4525