Aspring has an original length l inches. when a weight of x pounds is suspended from the spring, its new length y is given by the formula y = l + x k , where k is a constant, measured in pounds per inch. solve the formula for x. show the steps in your work. the value of k for a certain spring is 2.5. the length of the spring is found to be double its original length when a 10 pound weight is suspended from it. write the equation for the original length of the spring and solve it. show the steps in your work.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.

Awoman who is 64 inches with a shoulder width of 16 inches. write an equation relating the height h to the width w. find the height of a woman who has ashoulder width of 18.5 inches