IF THE ROOTS OF THE EQUATION x² + (x + 1)² = k ARE α AND β la) PROVE THAT α^3 + β^3= 1/2( 1 - 3k)
b) FIND A QUADRATIC EQUATION WHOSE ROOTS ARE α^3 AND β^3​

Which region represents the solution to the given system of inequalities? |-0.5x+y23 | 1.5x+ys-1 5 4 -3 -2 -1 1 2 3 4

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

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)