Use the laplace transform to solve the given system of differential equations. dx dt = 2y + et dy dt = 18x − t x(0) = 1, y(0) = 1

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

Use the elimination method to solve the systems of equations. choose the correct ordered pair. 7x+4y=39

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in