Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
Therefore when y= 16,
Answer:
it d (42)
Step-by-step explanation:
Answer:
b = 2
Step-by-step explanation:
4(3b+2)2 = 64
4×2=8
8(3b+2) = 64
Divide by 8 on both sides of equation.
3b+2 = 8 Subtract 2 from both sides of equation.
<u> -2 -2</u>
Divide by 3 on both sides of equation.
b = 2
Answer
There is a correlation (negative correlation in fact because patient numbers decrease with an increase in temperature or vice versa) between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
There might be a causation factor because lower temperatures is associated with winter which is influenza season.
This means that it is reasonable to assume correlation may mean causation.
If it was let’s say a correlation between sales of ice cream and number of people drowning. There is no causation, as sales of ice cream don’t directly impact number of drowning incidents. It’s due to a hidden variable (temperature).
