How to find quadratic model? I am learning on quadratic models and the school video example is (2,10),(10,12), and (4,12) for the quadratic equation y=ax^2+bx+c which simplifies to {4a+2b+c=10; 100a+10b+c=12; 16a+4b+c=12.
Then the video suddenly transitions to solution a=-0.125, b=1.75, c=7 with no explanation.
Where did the decimals come from or is it something i shouldn't over think? I seriously don't get it

Use the graph of the sine function y=2sinθ shown below

In the field of thermodynamics, rankine is the unit used to measure temperature. one can convert temperature from celsius into rankine using the formula , what is the temperature in celsius corresponding to r degrees rankine? a. 9/5(c - 273) b. 9/5(c + 273) c. 5/9( c - 273) d. 5/9( c + 273)

Apoll is being conducted at a mall nothingto obtain a sample of the population of an entire country. what is the frame for this type of​ sampling? who would be excluded from the survey and how might this affect the results of the​ survey? what is the frame for this type of​ sampling? a. the frame is people who need new clothes. b. the frame is people who shop at the mall. c. the frame is people who like to shop. d. the frame is the entire population of the country. who would be excluded from the survey and how might this affect the results of the​ survey? a. any person that does not need new clothes is excluded. this could result in sampling bias due to undercoverage. b. any person who does not shop at the mall is excluded. this could result in sampling bias due to undercoverage. c. any person who does not shop at the mall is excluded. this could result in nonresponse bias due to people not participating in the poll. d. there is nobody that is being excluded from the survey.