Of course the system has a solution, namely the ordered triple (0, 0, 0) Nothing to write. The system is already written, namely: x=0, y=0, and z=0 These are the equations of the three coordinate axes in John

Algebra -> College -> Linear Algebra -> SOLUTION: You are given a linear programming problem.Maximize P = 4x + 4y subject to 2x + 3y ≤ 12 Resource 1 2x + y ≤ 8 Resource 2 y ≥ 0 x ≥ 0 (a) Use the metho Log On

Question 334854: The lifetime of a system expressed in weeks is a Rayleigh random variable for which f(x) = (x/200) e^(-x^2/400), for 0=x = 0 , for x0 where f(x) is the Rayleigh density function. a) What is the probability that the system will not last a full week? b) What is the probability that the system lifetime will exceed one year?

Subtract x from both sides ... When x=0, y=0: (0,0) When x=3, y=-1: (3,-1) Plot the points and draw the ...

To graph a linear equation in two variables, you really only need two points. One point, the y-intercept, is given by setting x to 0 and solving for y: The y-intercept is therefore (0,-4) since, when x=0, y=-4. A second point is given by setting y to 0 and then solving for x: The x-intercept is therefore (8,0) since, when y=0, x=8.

2025年1月11日 · Question: I noticed that the last version(s) were dated January 26, 2024 with the version(s) v12.1.6000.1076 and v13.1.6000.1076, does the v12.1/v13.1 mean it is actually newer than the v12.0/v13.0 versions even though the next part 6000.1076

x = {0 mod 5} turns (3) into 41*0 = 1 mod 5, which is obviously wrong. x = {1 mod 5} turns (3) into 41*1 ...

The constraining lines are shown in the Figure below: Plots x + 2y = 30 (red), 2x + 2y = 30 (green) and 2x+y = 30 (blue) The feasibility area, according to the condition, is the area of the first quadrant - above the red line, - below the green line, - above the blue line. It is easy to see from the plot that this set is empty.

If so, then we can replace x with 0 to find y. 2x + 3y = -6 2*0 + 3y = -6 3y = -6 y = -6/3 y = -2 Therefore (x,y) = (0,-2) is a point on this line. It's the y intercept. Now let's plug in y = 0 to find x. 2x + 3y = -6 2x + 3*0 = -6 2x = -6 x = -6/2 x = -3 The x intercept is located at (-3,0) Plot (0,-2) and (-3,0) on the same xy grid.

Question 211094: a) For the quadratic equation kx^2 + 2x + 4 = 0, find the value of k so that the roots are equal (there is only one root). b) The roots of x^2 + (k + 8)x + 9k = 0 are equal.