47 -14i
You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...
... = (6-i)(5 + 3-i)
... = (6 -i)(8 -i)
This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.
... = 6·8 -6i -8i +i²
... = 48 -14i -1
... =
_____
A suitable graphing calculator will work these complex number problems easily.
Answer:
-36x^3 - 69x^2 - 34x - 5
Step-by-step explanation:
(4x + 5) (3x + 1) -3 (x + 1)
(4x + 5) (3x + 1) ( -3x - 1)
12x^2 + 4x + 15x +5
Combine like terms
12x^2 + 19x + 5 (-3x - 1)
-36x^3 -57x^2 - 15x^2 -5
Combine like terms
-36x^3 - 69x^2 - 34x - 5
Answer:
Savannah
Step-by-step explanation:
1. Find the unit rate of all of the tables by dividing the values so that you know how much they earn per hour (ex. for Greg, the ratio is 3hours:$27 so divide all values by 3 to get 1hour:$9).
2. Compare all of the unit rate values (Savannah: $9.50 per hour, Greg: $9 per hour, and Kevin: $8.25 per hour).
Answer:
x² - 4
Step-by-step explanation:
Step 1: Write expression
(x + 2)(x - 2)
Step 2: FOIL
x² + 2x - 2x - 4
Step 3: Combine like terms
x² - 4
