When a spring is stretched from its relaxed position, the force exerted by the spring is equal to 2.035 times the length. Let's say we use a mechanical device to pull the spring. The force exerted by the device is equal to the root of 3 more than 12 times the distance the device has
pulled the spring. The length is measured in inches, and the force exerted by the device is measured in pounds/inch. How can you
determine the point at which the device will no longer be able to pull the spring?

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

Find the missing factor. 7s2 + 25s + 12 = (s + 3)( ).

Graph the system of equations. {6x−4y=−244x−8y=−32 use the line tool to graph the lines.