in your lab, a substance's temperature has been observed to follow the function
t(x) = (x + 5)3 + 7. the turning point of the graph is where the substance changes from a liquid to a solid. 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

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Qrst is a parallelogram. determine the measure of ∠q pls

30 ! the graph shows the number of siblings different students have. select from the drop-down menus to correctly complete the statement.