1. Find the complex number a+bi where a, b €R for the following: a) √-3-41

b) √-5+12i

c) √12i

d) √-24+10

2. Use the result in 1(d) to solve 2-3(1+i)z+2(3+i)=0.

3. If=2-2√3i, Express z in the form a+bi where a, be R. 4. Find a quadratic equation whose roots are:

(a) -2±1

b) 2+√√5i

c) −1+√2​

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

The mean average cost of standard room per night at a hostel is ? 20.60. therefore, how much does a standard room cost per night at night-time rest days?

Carla is saving money for a trip this summer. she already has some money in her savings account and will add the same amount to her account each week. at the end of 2? weeks, carla has? $130. at the end of 8? weeks, she has? $280. write a linear function in the form y=mx+b to represent the amount of money m that carla has saved after w weeks.