The correct answer is option B
(5 + 3i)(4+ 2i)
= 5(4+2i) + 3i(4+2i)
= 20 +10i + 12i +6i²
= 20 +22i +6(-1)
= 20 + 22i - 6
= 14 + 22i
Domain: All real numbers
Range: All real numbers
Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.
To find the midpoint you find the average x and the average y values. The average of 1 and 9 is 5, and the average of 4 and 16 is 10. The midpoint would be (5,10).
Aiden will receive $1.43 from a $5 bill.
If the state tax is 5.5%, you can use the equation below to solve for the total cost, <em>t</em>.
<em>t</em> = 1.055 (2 × 1.09 + 1.20)
<em>t</em> = 1.055 (2.18 + 1.20)
<em /><em>t </em>= 1.055 (3.38)
<em>t </em>= 3.5659
You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, <em>c</em><em />.
<em>c </em>= 5 - 3.57
<em>c </em>= 1.43