Colby and danielle clean pools for extra money over the summer. colby's income is determined by f(x) = 3x + 12, where x is the number of hours. danielle's income is g(x) = 5x + 10. if colby and danielle were to combine their efforts, their income would be h(x) = f(x) + g(x). create the new function h(x). if colby works 4 hours and danielle works 4 hours, and if they each get half of the money when they work together, will colby make more money working alone or by teaming with danielle?

Jack did 3/5 of all problems on his weekend homework before sunday. on sunday he solved 1/3 of what was left and the last 4 problems. how many problems were assigned for the weekend?

The standard deviation for a set of data is 5.5. the mean is 265. what is the margin of error?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )