The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=4.9x . The installation fee is $75 more than 6% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 100 square feet of carpet.

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.

Long division the problem is 40 ➗ 348 = ?

The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.