A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = -0.2x2 +1.7x+6
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (C).
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is ___feet, which occurs ___feet from the point of release.
(Round to the nearest tenth as needed.)

You download a video game to your computer. you have a 60-minute free trial of the game. it takes 5 1/6 minutes to set up the game 7 1/3 minutes to play each level. you want to find out how many levels you can play for free.which inequality describes the number of levels, l, you can play in 60 minutes? can you play 6 levels during your free trial? i need ,

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 point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5