:roberto lives thirty-eight miles from his college. during school, he rides his bike at 5 mph to the bus station. he then takes the bus to school which travels at 34
mph. if he spends 12 minutes less on his bike than on the bus, what is the distance from his house to the bus station? hint: 12 minutes 0.20 hours

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

The table shows the webster family’s monthly expenses for the first three months of the year. they are $2,687.44, $2,613.09, and $2,808.64. what is the average monthly expenditure for all expenses?