Suppose you notice that your grades on math assessments seem to vary sinusoidally. Your average is 86% and you earned that exact grade on Sept 15.(Use this as day 0) You hit your maximum on October 25 with a score of 98%. 1.Write an equation that models your grades. 2. What is your lowest grade and when did you earn it
3. Predict the date when you will again earn a 98%
4. Predict your date on the Dec 14th quiz
5.If your grades follow this pattern all year(Until June 15) how many times will you earn the maximum grade
6. Why are your grades varying sinusoidally anyway?

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

Evaluate the expression for the given value of the variable. | ? 4 b ? 8 | + ? ? ? 1 ? b 2 ? ? + 2 b 3 -4b-8+-1-b2+2b3 ; b = ? 2 b=-2

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).