Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.OPEN ENDED Give an example of an equation that is not quadratic but can be written in quadratic form. Then write it in quadratic form.OPEN ENDED Write a set of ordered pairs for functions f and g, given that f ∘ g = {(4, 3), (-1, 9), (-2, 7)}.Writing in Math Use the information about medication on page 382 to explain how the roots of an equation can be used in pharmacology. Include an explanation of what the roots of this equation represent and an explanation of what the roots of this equation reveal about how often a patient should take this medication.Writing in Math Refer to the information on page 411 to explain how inverse functions can be used in measurement conversions. Point out why it might be helpful to know the customary units if you are given metric units. Demonstrate how to convert the speed of light c = 3.0 × 108 meters per second to miles per hour.

Important Mathematical ConstantsThis week you were introduced to the natural number e ≈ 2.718. In mathematics there are several important numbers similar to e. You are likely familiar with the constant pi ≈ 3.14. For example: You are likely familiar with the constant pi ≈ 3.14.Do some research on either one of these two numbers, or, better yet, find another very important number in mathematics.Share with us what you have found out about the number, for example, its history, some trivial facts about the number, and/or how it is applied.

Correctly answer all questions. Double check all workWhich of the following is not a measure of center?meanvariancemedianmode============Find the mean in the data set below.{2, 2, 4, 4, 4, 5, 5, 6, 7, 8}44.757.8---------------------If the mean of the data set shown below is 16, what is the value of x?{10, 12, x, 9, 18, 14, 20, 23, 25, 10}1916315.7=========For which data set is the mean, median, and mode the same?{5, 6, 4, 4, 4, 6, 5, 6}{11, 12, 15, 16, 13, 12, 12}{100, 101, 105, 110, 109, 104, 105, 108, 103}{4.3, 6.4, 2.9, 3.1, 8.7, 2.8, 3.6, 1.9, 7.2}==========What is the mean of the numbers represented by x + 1, 3x - 2, and 2x - 5?2x - 2(6x - 7)/3(x + 1)/3x + 4================Find the population variance for the data set. Round to the nearest tenth.{67, 91, 94, 89, 63, 67, 86, 67, 77, 95}12.1162.5146.279.6=========Find the population standard deviation of the data set. Round to the nearest tenth.{20, 15, 32, 38, 27, 16, 21, 20, 34, 30, 40, 24, 23, 11, 40}9.386.49.080.6=================A teacher is comparing test grades for a unit test in her Algebra class. The mean of the scores is 78% with a standard deviation of 3.8. What range gives the set of values that are within two standard deviations of the mean?74.2 - 81.870.4 - 85.674.2 - 85.670.4 - 81.8===============Below is a list of the weights of Defensive tackles on the Chicago Bears NFL football team. Which measure of center best describes the data set?{300 lbs, 296 lbs, 309 lbs, 295 lbs, 300 lbs, 288 lbs}meanmedianmodenone of the above================The following data shows the amount of money students paid for textbooks at a college bookstore during the spring semester. What is the range of values that are within 1 standard deviation of the mean. Round to the nearest tenth.{338, 160, 210, 180, 166, 272, 128, 409, 240, 250, 160, 300, 340, 200, 194, 132, 202, 180, 420, 380, 325, 185, 233, 198}241.8 - 328.4155.2 - 241.8155.2 - 328.4328.4 - 415