Sangeeta and Ayesha together invested some money and started a fashion design store for children’s clothing. They decided to share the profit according to their respective investments. Ayesha invested rupee 9000 and her share of profit was rupee 3000. If the total profit was rupee 7500, what was the investment of Sangeeta?

The radical equation 2+√2x-3 = √x+7 has a solution set [x= a0} and an extraneous root x = a1.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)