Express the quantities below in a+bi form, and graph the corresponding points on the complex plane. if you use one set of axes, be sure to label each point appropriat (1+-i), (1+i)(1-i), i(2-i)(1+2i).

Step-by-step explanation:

As we know that

      Complex number written as

   Z = x  +  i y

x is the real part (on real axis).

y is the imaginary part(on imaginary axis).

For  (1+i)-(1-i):

Z=   (1+i)-(1-i)

Z = 1 + i - 1 + i

Z=2 i

So x= 0 ,y= 2

For (1+i)(1-i):

Z= (1+i)(1-i) = 1 - i²                         ( i²  = 1)

Z = 1 - (-1) = 2

So x= 2 and y= 0

For  i(2-i)(1+2i):

Z=  i(2-i)(1+2i) = (2 i-  i²) (1+2i)

Z=  (2i + 1) (1+2i)

Z = 2i +1 +4i² + 2i

Z= 4i + 1 - 4

Z= - 3+ 4 i

x = - 3  and y =4

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!