In attempting to solve the system of equations y = 3x - 2 and 6x - 2y = 4 , john graphed the two equations on his graphing calculator because lie saw only one line. jolin wrote that the answer to the system is the empty set. is lie correct? explain your answer

If a =6, what is the value of 2a(3b + 5c)?

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.