Determine if the given ordered pair is a solution to the equation: 4. -3x + y = -2 (0,2) 6. 2x - y = -3 (-2, -1) Find the specified values: 8. 6x - 3y = 12 x-intercept & y-intercept 10. 4x - 2y = 6 slope & y-intercept Re-write the equations in the specified form: 12. y = 2x -3 write in standard form
The following questions are from "Linear Algebra" textbook. Page 52: - Question Number: - 5,7,8,9. Page 54: -Question Number: - 27/b, 28, 29 Page 70: - Question Number: - 14, 15 & 17 Please mention each and every step. Thank you
1.)how do you draw a line whose x- intercept is -7 and whose y-intercept is -6? 2.)how do you graph the line with equation y=-2x? 3.)how do you graph the line 2x+2y=13? 4.)how do you graph a line with the slope of -3 passing through the point(2,4)? 5.)how do you find a slope of a line with coordinates (18,13) and
1.) The price of a personal computer is $2000. The markup is $150. What is the dealer cost? 2.) Solve the inequality 4y - 7 > 9y - 2. Use set-builder notation. 3.) Graph using slope and y-intercept method of y = (3/2)x - 3 4.) Graph using slope and y-intercept method of 5x + 5y = 10 5.) Graph the inequality
The function that relates weight in grams of a crystal (w) to the temperature t in degrees Fahrenheit in which it was grown is as follows (fictitious): W(t) = 0.8t + 12 Find w(-6). a. impossible to tell from info given b. less than 8 grams c. at least 8 grams but less than 10 grams d. at least 10 grams but less t
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
1. Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation? 2. How do you interpret the slope and y intercept in a real world case? 3. By looking at two linear equations, how can you tell that the corresponding lines are pa
Hello again ! trying to solve for x and Y in the following problems. please explain 1. a. X + Y=6 ; 2X + Y =8 b. 7X + 3Y=14 ; 5X + 9Y= 10 c. 4X + Y= 16 ; 2X + 3Y= 24 d. 12X + Y= 25 ; 8X - 2Y= 14 2. Suppose Bob owns 8000 shares of company X and 6000 shares of Company Y. The total value of Bobs holding of these
A linear time-invariant discrete-time system has transfer function h(z)=((z^2)-z-2)/((z^2) + 1.5z-1) a. Use MATLAB to obtain the poles of the system. Is the system stable? Explain. b. Compute the step response. This should be done analytically, but you can use MATLAB commands like conv and residue. c. Plot the first seve
Text Book: - Linear Algebra, Author: - Insel, 3rd Edition Following questions to be answered In page Number: - 52 & 53 : Questions: - 12, 21 In Page Number :- 54 :- Question :- 25 In page Number: - 247 :- Question : - 2 / c, d In Page Number: - 248 & 249 : - Question: - 3/ b,c. 4, 8/a, 11/a, b. 12/a In Page
In Chapter 3, we have studied techniques for solving linear systems. Given the coefficient matrix for the system, we can use these techniques to classify the system, describe the qualitative behavior of solutions, and give a formula for the general solution. In this lab we consider a two-parameter family of linear systems. The g
1. Solve each system by graphing. y = - 2/3 x 2x + 3y = 5 2. Solve each system by the substitution method. Determine whether the equations are independent, dependent, or inconsistent. 2x - y = 4 2x - y = 3 3. Write a system of two equations in two unknowns for each problem. Solve each system by substation.
Solve the system by addition. 5x - 3y = 13 4x - 3y = 11
Solve the system by substitution. x + y = 12 y = 2x
1. A discrete-time system has the following unit-pulse response: h[n] = 0.5^n - 0.25^n for n >= 0 Correspondingly, the following difference equation describes the behavior of the system: y[n + 2] - 0.75y[n +1] + 0.125y[n] = 0.25x[n +1] a. Use the MATLAB command conv to calculate the response of the system to a unit ste
I am at a total loss on these. Any assistance you could give me would be greatly appreciated. I have a total of 9 problems. Thanks a lot!! The start-up cost for producing widgets is $449, and each widget costs $91 to produce. What is the equation for this situation? Use X for # widgets produced and Y for cost. a. none of
From Special Cases: Repeated and Zero Eigenvalues. Please show each step of your solution. The part (c) is not required to be done. Thank you.
From Special Cases: Repeated and Zero Eigenvalues. Please show each step of you solution. There is no need for drawing graphs for me, but if you do it, I will appreciate it. Thank you.
#10, please. Please see the attached file for the fully formatted problems.
1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) A. By looking at the picture, do you think is an acute, obtuse, right, or a st
Obtain the time response of the following system (see attached file) where u(t) is the unit-step function occurring at t = 0.
Consider the system defined by: (see attached file) where y is the output and u is the input of the system. Obtain a state-space representation of the system.
a) Show that the linear, time varying system x =A(t)x is asymptotically stable if xT A(t)x < - ε for all x ≠ 0 and all t ≥ 0 and some ε > 0. Hence show that the system -8/5+3/5sin t
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0. a) Prove that rangeT is contained in nullT. b) Prove that dimnullT >= (dimV )/2. Hint. Make use of a)
Let T be an element of L(C^3) [complex 3-tuples] be the operator defined by T(z_1, z_2, z_3) = (z_2, z_3, z_1). a) Write the matrix of T in the standard basis of C^3. b Find all eigenvalues of T c) Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why. If your
Assume that ST = TS. Prove that the operators S and T have a common eigenvector. Let V be a complex (i.e. F = R) finite dimensional vector space. Let S, T be elements of L(V ) (set of operators on V). Assume that ST = TS. Prove that the operators S and T have a common eigenvector. these are the steps: a) Explain why T
#1) Write the equation y=2/3(x)-3 in standard form using only integers and a positive coefficient for x. #2) Find the equation (in slope-intercept form) of the line that goes through (-1,2) and has slope 4. #3) Solve: 4-5x > 11 #4) Solve the system of linear equations by the substitution method. Then, state
1. Which of the following points is a solution to this equation: y = -3x + 8 a. none of the following is a solution b. all of the following are solutions c. (0, 8) d. (1, 5) e. (-1, 11)
How do I go about plotting a graph with the equations of 2x+4y=10 and 3x+6y=12 and finding the intercepts?
Please see the attached file for the fully formatted problems.
The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the lin