Factor using the binomial theorem (x-1)⁵ + 5(x-1)⁴ + 10(×-1)³ + 10(×-1)² + 5(+-1) + 1

Elijah and his sister went to the movies. they had $34 altogether and spent $9.50 per ticket. elijah and his sister bought the same snacks. write and solve an inequality fotlr the amount that each person spent on snacks. interpret the solition

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

The coordinate grid shows a pentagon. the pentagon is translated 3 units to the right and 5 units up to create a new pentagon. what is the rule for the location of the new pentagon?