To find: The classification of the function y=x−2(x+5) whether it is linear or quadratic and its quadratic, linear and constant terms.
The given function is a linear function. The linear term is −x and the constant term is −10 .
Given information: The function y=x−2(x+5) is given.
Concepts used: A polynomial function is said to be a quadratic function if the highest power of the variable is two. The standard type of quadratic function is f(x)=ax2+bx+c , where a and b are constants. The term ax2 , bx and c are known as quadratic term, linear term and constant term respectively.
A polynomial function is said to be a linear function if the highest power of the variable is one. The standard type of quadratic function is f(x)=ax+b , where a and b are constants.
Explanation: Rewrite the function y=x−2(x+5):
y=x−2(x+5)=x−(2x+10)=x−2x−10=−x−10
The highest of power of the variable is 1 , so it is a linear function. The linear term is −x and the constant term is −10 .
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 2) Let M = {all postive integers}, N = {0,1,2,3 ... 100}, 0 = {100,200,300,400,500}. Determine if the following statements are true or false and explain your reasoning. a) N≤M b) 0 C M c) O and N have at least one element in commonarrow_forwardSammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards: Cabbage Spinach Leeks Carrots Kale Turnips Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah. What is the probability that NEITHER contestant draws leeks? Round your answer to two decimal places.arrow_forwardHamid is playing a trivia game with multiple choice questions. Each question has \[2\] correct answers among \[5\] answer choices. Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random. What is the probability that Hamid guesses both answers correctly?Round your answer to two decimal places.arrow_forward
- A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a \[10\%\] probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected. Suppose that \[2\] customers pay for their meals, one after the other. What is the probability that NEITHER customer is selected to receive a coupon?Round your answer to two decimal places.arrow_forwardA restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a \[10\%\] probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected. Suppose that \[2\] customers pay for their meals, one after the other. What is the probability that NEITHER customer is selected to receive a coupon?Round your answer to two decimal places.arrow_forwardAn airport has an electronic system that randomly selects bags for extra security screening. Each bag has a \[14\%\] probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that \[2\] bags go through the system, one after the other. What is the probability that both bags are selected for extra screening?Round your answer to two decimal places.arrow_forward
- Jason has a bag that contains 8 identically shaped boxes. 6 of the boxes are blue, and 2 are green. 3 of the blue boxes have a prize, and 1 of the green boxes has a prize. Jason randomly selects a box from the bag. Let A be the event that he selects a box with a prize and B be the event that the box is green. Which of the following statements are true? Choose all answers that apply: [^] P(A|B) = P(A), the conditional probability that Jason selects a box with a prize given that he has chosen a green box is equal to the probability that Jason selects a box with a prize. B P(B|A) = P(B), the conditional probability that Jason selects a green box given that he has chosen a box with a prize is equal to the probability that Jason selects a green box. Events A and B are independent events. The outcomes of events A and B are dependent on each other. E P(A and B) = P(A) · P(B), the probability that Jason selects a box that contains a prize and is green is equal to the probability that Jason…arrow_forward4) A researcher gathered data on the amount of time students spent studying per week. Given the following frequency distribution, fill in the relative and cumulative frequency. Hours per week: at least Frequency Relative Frequency Cumulative Relative Frequency 0 but less than 2 4 2 but less than 4 15 4 but less than 6 41 6 but less than 8 20 8 but less than 10 7 10 or more 3 a) What percentage of students study less than 6 hours per week?arrow_forwardoptions are greater than less than or about the same asarrow_forward
- A candy machine contains over \[1{,}000\] pieces of candy, \[30\%\] of which are blue. Customers get an SRS of \[15\] candies in a purchase. Let \[X=\] the number of blue candies that a random customer gets in a purchase. Find the mean and standard deviation of \[X\].You may round your answers to the nearest tenth.arrow_forwardA television show tests the abilities of alleged psychics by presenting contestants with a set of \[4\] cards placed upside down, \[1\] of which has a star printed on it. Each contestant attempts to identify which card has the star on it for a series of \[50\] trials. Assuming that the contestants are purely guessing, what are the mean and standard deviation of the number of trials where the contestant guesses correctly?You may round your answers to the nearest tenth.arrow_forwardA television show tests the abilities of alleged psychics by presenting contestants with a set of \[4\] cards placed upside down, \[1\] of which has a star printed on it. Each contestant attempts to identify which card has the star on it for a series of \[50\] trials. Assuming that the contestants are purely guessing, what are the mean and standard deviation of the number of trials where the contestant guesses correctly?You may round your answers to the nearest tenth.arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





