### Equation of a line

The following information regarding a dependent variable Y and an independent variable X is provided. SumX = 10 SumX^22 = 30 SumY = 10 SumY^2 = 30 SumXY = 20 n = 4 Find the equation of the line.

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The following information regarding a dependent variable Y and an independent variable X is provided. SumX = 10 SumX^22 = 30 SumY = 10 SumY^2 = 30 SumXY = 20 n = 4 Find the equation of the line.

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Prove directly from Proposition 17.2 that each of the following function is measurable on [0,1]. a) f(x)=3 for all x in [0,1] b) f(x) =x for all x in [0,1] c) f(x)=1 if x in (0,1], f(x)=0 if x=0. I have also included the proposition in the attachment Thank you

Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y ï?³ 0 a. Set up and solve using Management Scientist, Excel Solver, or an online LP solver. b. What are the values of X and Y at the optimal solution? c. W

Your companym Camel Electronics has developed a new USB memory device that uses a copyrighted, secret silicon compound that you invented. The 640 gigabyte model uses 0.125kg of the compound and the 1 Terabyte model uses 0.4. Over the next production cycle, only 80 kg of the compound are available to the manufacturing division

Use the four color theorem to prove that every outerplanar graph is 3-colorable.

Graph each line and shade appropriate portion . for every case there constrains x â?¥ 0 and y â?¥ 0 . Find coordinates of all corner points: intersection between given lines and intersection between lines and x- or y-axis . x + y â?¤ 5 -x + y â?¤ 3

Use graphing technique to find solutions 1. 3x - 4y ≤ 12 2. 2x + y ≤ 4 3. 5x - 3y ≥ 15 4. x + y ≥ -2 x - 2y ≤ 4 5. x + y ≤ 4 0 ≤ x ≤ 2 y ≥ 0 6. 3x + 4y ≤ 12 x - y ≤ 4 x ≥ 0 Draw the line, use (0,0) test to find on what side of the line is the solution and shade

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1. given the following equation, 5x - 3y = 15; solve for y. 2. Verify that the ordered pair (5, -2) is a solution to the equation 2x + 3y = 4 3. for the following equations: 5x - 2y = 14: find x if y = 4 find y if x = 2/5 4. find the slope and the y-intercept of the line represented by the equation: 2x + y =