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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2+4a=-10
First, subtract 2 from both sides.
4a=-12
Then divide 4 from both sides.
a=-3
hope it helps!
Answer:
Step-by-step explanation:
X = number of Yan's marbles. x-3 = number of Geraldo's marbles
annswer: x + (x - 3) = 21
hopes this helps :)
Adjacent angles :
IGJ and IGH
KGL and LGM
vertical angles :
JGK and HGM
IGJ and MGL
hope this helps
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