4, a person is running around an elliptical track. the equation ofthe track is 4x2-25y2-200. runner (8, 0) bear 4x2 +25y2-200 (a) when the person is at the point (5, 2), her x-coordinate is increasing at 6 units per minute. describe how her y-coordinate is changing. (b) can she run in such a way that her x-coordinate changes at a constant rate? explain. (c) the inside of the track is heavily wooded, and she can- not see through the woods. there is a bear standing outside the woods at the point (8, 0). when she is at the point (5, 2), can she see the bear? explain.

Find the equation of the line that goes through the points (4, –1) and (2, –5). use slope formula,equation,to find the slope of a line that passes through the points. m = use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line. b = write the equation in slope-intercept form, y = mx + b.

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.