Solve the given initial-value problem. dy dx = x + 2y, y(0) = 6 y(x) = −(2x+1) 4​+ 25 4​e2x Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

Which best describes the transformation that occurs in the graph? a) dilation b) reflection c) rotation d) translation

Write as a product: ac^2–ad+c^3–cd–bc^2+bd

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.