Mathematics

1. Solve for x 2. Solve for N x  2  x  5 2 3 M=2Nt+Nr/4 3. (a) Write [–5, 2) as a double inequality and graph (b) Write x ≥ –2 in interval notation and graph. 4. Find the slope and y intercept of the line whose equation is 5x – 2y = 10. 5. Find the equation of the line through the points (–5, 7) and (4, 16). 6. (a) What is regress (b) 0.5 $1,677 0.6 $2,353 0.7 $2,718 0.8 $3,218 0.9 $3,982 7. Given the function Find (a) f (2) (b) f (h+5) f (x)  x2  2 1. Explain what is a linear function and non-linear function. Draw a simple graph to illustrate your answer. 2. Solve a. 4x + 12y = 36 b. 5x + 10y = MAX c. Find the intersection of 4x + 8y ≤ 160 and 2x + 12y ≤ 180 Show your working. 3. A store has requested a manufacturer to produce pants and sports jackets. For materials, the manufacturer has 750 m2 of cotton textile and 1,000 m2 of polyester. Every pair of pants (1 unit) needs 1 m2 of cotton and 2 m2 of polyester. Every jacket needs 1.5 m2 of cotton and 1 m2 of polyester. The price of the pants is fixed at $50 and the jacket, $40. What is the number of pants and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale? 4. 5. Explain with an example how to calculate pi using MC Integration. a. What type of integration is best done with MC methods? b. How can you c=make the results more accurate show with an example.