Bertha's chocolate factory is expanding, She wanted to know how many workers she needs to produce chocolate bars. The following table lists a certain number of workers and the corresponding amounts of chocolate bars they produce. True or False: The relationship between the number of workers and the number of bars produced is proportional.
workers / bars
10 | 35
20 | 70
40 | 140
80 | 280
160 | 560

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

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