Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
- 
y = 3 → (1)
x - 
= 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
Total commission that Lamar got is:
6.5/100×785,000
=$51,025
Amount that Lamar split with his broker:
40/100×51025
=$20410
Amount that brokerage split
=50/100×20410
$10205
Total amount Lamar received $10205
The number of zeros in the product has 5 zeros and the zeros in the factor has 4 zeros because when you multiply 5,00x by8 you get 40,000
The expression for the area of the base of Prism is x2 – 2x – 9
The volume of a rectangular prism is this
Volume = Area x Height
Substituting the given expressions
x3 + 2x2 - 17x - 36 = Area x (x + 4)
Area = (x3 + 2x2 - 17x - 36) / (x + 4)
Now, let's use synthetic division
-4 | 1 2 -17 -36
---- __-4___8___36
1 -2 -9 0
The expression for the area is
Area = x2 - 2x - 9
Learn more about Synthetic Division:
brainly.com/question/14645972
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