Equation 2x²-5x+1 has roots alpha and beta. Form quadratic equation with roots (alpha² + 1/alpha²) and (beta²+1/beta²)

Ms. sutton recorded the word counts and scores of the top ten essays in a timed writing contest. the table shows her data. how does the word count of an essay relate to its score in the contest? word count tends to decrease as the score decreases. word count tends to increase as the score decreases. word count tends to remain constant as the score decreases. word count has no apparent relationship to the score of the essay.

Two spray paint machines are used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint? e used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint?

Astudy found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1 a) compute the sample variance in the number of vehicles owned or leased by the subscribers (to 4 decimals). b)test the hypothesis to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .calculate the value of the test statistic (to 3 decimals).