Show that there are no idempotent commutative latin squares of order 2 , where $n\geq 1$ . [hint: the symbol 1 occurs in an even number of cells off the diagonal. if you use the hint, you need to justify why it is true.]

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10

Hurrya vegetable garden and a surrounding path are shaped like a square that together are 11ft wide. the path is 2ft wide if one bag of gravel covers 9 square feet how many bags are needed to cover the path