Joseph louis lagrange (1736-1813) conjectured that every odd natural number greater than 5 can be written as a sum a plus 2 b, where a and b are both primes. (a) verify this for the odd natural number 11. (b) verify that the odd natural number 17 can be written in this form in four different ways.

Answer this question only if you know the 30 points and

What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total