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:
A. Cylinder, Shpere, Cone
Step-by-step explanation:
a cylander can be made by rotating a square.
for a sphere, a semi-circle.
for a cone, a right triangle.
hope this helped you
Answer:
Mario ate 27.27% of her cookies
Answer:
The answer is B
Step-by-step explanation: After solving this equation using y=mx+b
I got y=-4x+7
So they give us the slope which is negative 4
so you would throw in the x coordinate with the slope and multiply to get y=-12+7
then you would use the y coordinate to substitute the Y
-5=-12+7
i add twelve on both sides and end up with the y intercept being 7]
so I add them into the equation and got y=-4x+7
Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | ≤ a always have solutions of the form
- a ≤ x ≤ a
Given
| x - 1 | ≤ 1 then
- 1 ≤ x - 1 ≤ 1 ( add 1 to each of the 3 intervals )
0 ≤ x ≤ 2
Since we require an integer solution then x = 0, 1, 2
