Kari uses substitution to decide whether X to the second power plus X is equivalent to X parentheses 2X plus one parentheses. She says the expressions are equivalent because they have the same value when X equals zero. Is Kari correct?

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

(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.

Solve the formula ax+ by = c for x.