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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5 is you answer because absolute value is the distance on a number line from 0
We can simplify this equation and find the value of k.
k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
Answer:
2. B
3.B
4.C
6A. 6
6B. 12
6C. 19.6
6D. 18.75
6E. I cant see
6F. I cant see
Step-by-step explanation:
2. 1/4*40=10
3. type the choice into the calculator
4. 2/5 of 30 or 2/5*30=12
6. A-F type into the calculator
