Jenny is solving the equation 3x+5=x+2 using algebra tiles. she cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. which explains which jenny should do first? a. she should add 3 negative x-tiles first because that is the only way to isolate the variable. b. she should add 2 negative unit tiles first because that is the only way to get to the correct solution. c. she can do either one first because zero pairs will be created to isolate the variable either way. d. she should do neither one first because the first step is to add 4 negative tiles to both sides

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).