In your lab, a substance's temperature has been observed to follow the function t(x) = (x − 2)^3 + 8. the turning point of the graph is where the substance changes from a solid to a liquid. using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. hint: the turning point of the graph is similar to the vertex of a quadratic function.

Steve had 48 chocolates but decided to give 8 chocolates to each of his ff coworkers. how many chocolates does steve have left? write your answer as an expression.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.