Amelia, luis, shauna, and clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1. luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1. shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6. clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b. which student’s first step was incorrect, and why? amelia’s, because the variable term must be isolated on the left side luis’s, because he flipped the inequality sign when he subtracted shauna’s, because she did not apply the subtraction property of equality properly clarence’s, because the terms he added together were not like terms

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.

Which of the following describes the symmetry of the graph of y = x3?

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.