Claire kept an important letter in a book she was reading. She remembers that she kept the letter 20 pages away from the 54th page of the book. The following absolute value equation can be used to determine the page in the book where Claire kept the letter. |x − 54| = 20 Here, x represents the page numbers of the book where Claire could have kept the letter. Based on this information, which pages in the book may hold Claire's letter? a. Page 34 or page 74 of the book may hold Claire's letter. b. Page 74 or page 108 of the book may hold Claire's letter. C. Page 20 or page 54 of the book may hold Claire's letter. D. Page 54 or page 74 of the book may hold Claire's letter.

Will possibly give brainliest and a high rating. choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y > 4 4x – y ≥ 4 4x + y < 4 4x + y ≥ 4

Look at the hyperbola graphed below. the hyperbola gets very close to the red lines on the graph, but it never touches them. which term describes each of the red lines? o o o o a. asymptote b. directrix c. focus d. axis

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).