E^2x -2e^x -8=0 => e<span>^(2x) -2e^x -8=0
Temporarily replace e^x with y.
Then (y)^2 - 2y - 8 = 0. Factors are (y-4) and (y+2).
Roots are y = 4 and y= -2.
Now remembering that we temporarily replaced e^x with y, we let
y=4 = e^x. We need to solve for x. Taking the natural log of both sides, we get:
ln 4 = x (answer)
We have to discard the other root (y= -2), because we cannot take the ln of a negative number.
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Answer: i’m not sure if it’s just simplifying or factoring. but for simplifying it equals. 1/8 or .125
Explanation: calculator
Hello Bri,
If you are talking about a boundary line on a coordinate plane, the best way to determine which side to shade is to start by selecting a coordinate point (x, y) that is not on the line.
Then, substitute those values into your inequality. Simplify the inequality. If the resulting statement is true, then shade the side with your point. If the resulting statement is false, then shade the other side.
Testing a point like this shows the side of the inequality that is the solution and needs to be shaded.
Good luck!
Answer:
a: 12 cm
b: I think it's 2.5 cm but someone might have to double check that
Step-by-step explanation: