Your classmate is starting a new fitness program. He is planning to ride his bicycle 50 minutes every day. He burns 7 calories per minute bicycling at 11 mph and 10.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 500 ​calories?

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.