20 points if anwsered correctly

challenge after a heavy rain, a river reached the edge of its banks. any more rain and there would be a flood. after a few hours, the river went down one fifth inch
. then another rainstorm hit and dropped one fourth inch
of rain. the river rises by startfraction 1 over 20 endfraction
of the amount of rain that falls. use this expression negative one fifth plus startstartfraction one fourth overover startfraction 20 over 1 endfraction endendfraction
to find how the new water level compares to the riverbank. did the new rain cause a flood?
negative one fifth plus startstartfraction one fourth overover startfraction 20 over 1 endfraction endendfraction
equals
nothing

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).

Which is an accurate comparison of the two data sets? the commute to work is typically shorter and more consistent than the commute home. the commute to work is typically shorter but less consistent than the commute home. the commute to work is typically longer and less consistent than the commute home. the commute to work is typically longer but more consistent than the commute home.

What is value of x? enter your answer in the box. x =