September 3, 2017

 Given f(9) = - 2, which function can be used to generate the sequence 8, 7.25, 6.5, 5.75,...?

(1) f(n)= - 8 + 0.75n
(2) f(n)= - 8 - 0.75(n -1)

(3) f(n) = - 8.75 + 0.75n

(4) f(n) = - 0.75+ 8(n- 1) 

Answer and Explanation:

First we can plug in n=9, to figure out which function would give us -2 as the answer. Choice 1, gives -1.25 as the answer for f(9)

Choice 2, gives -14.

Choice 3,  gives -2 as the answer

Choice 4, does not giv...

July 5, 2017

Given i is the imaginary unit, (2- yi)^2 in simplest form is

In order to do this problem, we have to remember just one simple rule: i ^2 = -1

To solve the problem we first can distribute the terms 

(2- yi)^2 = (2-yi) (2-yi) = 4  - 2yi - 2yi + (y^2)(i^2 )= 4 - 4yi - y^2

Remember that i^2 = -1 and therefore (y^2)(i^2 ) becomes simply -y^2

Working with imaginary numbers might seem scary at first, but its nothing other...

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