Answer:

Step-by-step explanation:
So we have the equation:

First, subtract 3 from both sides:

Definition of absolute value:

Divide both sides by 6 for both equations:

And we're done!
For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
ONP=43 degrees
LNO=137 degrees
MNP=137 degrees
A straight line equals 180 degrees, so the angles need to add up to that amount. Hope this helps!
9514 1404 393
Answer:
6/5
Step-by-step explanation:
The slope formula is useful for finding the slope.
m = (y2 -y1)/(x2 -x1)
m = (-1 -11)/(-5 -5) = -12/-10
m = 6/5
The slope of the line through the given points is 6/5.
(ab)2
((2)(5.1005020625)2=?
((2)(5.1005020625)2=20.402