Answer:
(6, -9)
Step-by-step explanation:
Our system of linear equations is:
6x + 2y = 18
-4x - 2y = -6
When we solve by elimination, we're essentially "eliminating" a variable so that we can solve for other more easily. Here, let's eliminate the y variable by adding the two equations together:
6x + 2y = 18
+ -4x - 2y = -6
____________
2x + 0y = 12
x = 12/2 = 6
Plug this back into one of the original equations to find y:
-4x - 2y = -6
-4 * 6 - 2y = -6
-24 - 2y = -6
-2y = 18
y = -9
The solution is (6, -9).
Answer:
Step-by-step explanation:
(a^2 - 5ab) - (7 - 3ab) + (2ab - a^2) = -7
a^2 - 5ab -7 +3ab + 2ab -a^2 = -7 [combine like terms]
a^2 - a^2 = 0
-5ab + 3ab + 2ab = 0
-7 = -7
Hello,
Here is your answer:
The proper answer to this question is that "the range can be found in a bar graph by subtracting the highest bar to the smallest bar"!
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Hope this helps.
Answer:
By definition, the reference angle is an acute, hence positive angle that the terminal side of a given angle makes with the x-axis.
In this case, the acute angle is 40º.
Answer:
0.9101523758 ≈ 1 year
Step-by-step explanation:
The population of a small town is 40,740.
Its population falls by 8% per year.
Given: Compound interest Amount (A) = P( 1 + 

14,550 = 40,740(1 + 

14,550 = (40,740 - 3259.2
14,550 = (37,480.8
t * log 37,480.8 = log 14,550
t =
= 0.9101523758 ≈ 1 year