Q1.the cubic equation

where p and q are constants, has three complex roots, a, b and y (alpha, beta and gamma). it is given that b = -2+3i and y = 1 + 2i.
(a)(i)write down the value of aby.
(ii)hence show that (8 + i)a = 37 - 36i.
(iii)hence find a, giving your answer in the form m + ni, where m and n are integers.

1c) the number 131 is a term in the sequence defined by the explicit rule f(n)=5n-4. which term in the sequence is 131? 2a) write the first four terms of the function f(n)=n^2-1 2b) what is the 10th term of the sequence defined by the explicit rule f(n)=n^2-1 2c) the number 224 is a term in the sequence defined by the explicit rule f(n)=n^2-1. which term in the sequence is 224?

Melissa is purchasing a $160,000 home and her bank is offering her a 30-year mortgage at a 4.9% interest rate. in order to lower her monthly payment, melissa will make a 20% down payment and will purchase 3 points. what will her monthly mortgage payment be? a. $645.98 b. $650.46 c. $662.93 d. $606.69

The ratio of the height of two similar cylinders is 4 to 3 what is the ratio of their volumes