Mathematics, 28.06.2019 07:10 lolyourenotpoppunk
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.
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.
1. 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?
2. what are the x- and y-intercepts of the rainbow? explain what each intercept represents.
3. 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.
Answers: 2
Mathematics, 21.06.2019 16:00
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Mathematics, 21.06.2019 17:00
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Mathematics, 21.06.2019 18:50
The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103
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Mathematics, 21.06.2019 19:00
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