Answer:
x = -14
Step-by-step explanation:
Simplifying
7x + 156 = 9x + 184
Reorder the terms:
156 + 7x = 9x + 184
Reorder the terms:
156 + 7x = 184 + 9x
Solving
156 + 7x = 184 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
156 + 7x + -9x = 184 + 9x + -9x
Combine like terms: 7x + -9x = -2x
156 + -2x = 184 + 9x + -9x
Combine like terms: 9x + -9x = 0
156 + -2x = 184 + 0
156 + -2x = 184
Add '-156' to each side of the equation.
156 + -156 + -2x = 184 + -156
Combine like terms: 156 + -156 = 0
0 + -2x = 184 + -156
-2x = 184 + -156
Combine like terms: 184 + -156 = 28
-2x = 28
Divide each side by '-2'.
x = -14
Simplifying
x = -14
The formula for the standard error is this:
σM = σ / √N
where
σM is the standard error
σ is the standard deviation
N is the number of samples
So,
σM = 0.45 / √50
σM = 0.0636 or 6.36%
The standard error is 0.0636
Answer:
(1,8) and (-3,0)
Step-by-step explanation:
We simply graph the two functions in the same graph. The solution set to the system is given by the points where the two functions intersect. For this case, the two functions intersect at;
(1,8) and (-3,0)
The solution set is thus; (1,8) and (-3,0)
Check the attachment below;
Answer:
If we are to treat these as two ordered pairs, then the rate of change is 1.25.
Step-by-step explanation:
To find this, use the slope equation with the ordered pairs.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 9/16 - 9 1/16)/(12 - 10)
m = (2 8/16)/2
m = 2.5/2
m = 1.25
Now we know that this could be a function since we have a constant slope.
