What is the value of the discriminant, b^2-4ac, for the quadratic equation 0=x^2-4x+5, and what does it mean about the number of real solutions the equation has?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Factor the expression using the gcf. the expression 21m−49n factored using the gcf

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.