-2x > 12 OR -2(x + 1) < -10
Each inequality is solved separately.
The first one, divide both sides by -2, when you divide by a negative, you change the inequality sign.
So x < 6
For the second inequality, distribute the -2, this gives us -2X -2< -10.
Add 2 to both sides.
-2x < -8
Divide both sides by -2.
When dividing by a negative you change the inequality sign
So x > 4
The answer is:
x < 6 OR x > 4
ln 5
e = ?
x
Keep in mind that y=e and y = ln x are inverse functions of one another.
ln 5
e , we can drop both the "e" and the "ln 5." We are left with 5 (answer).
ln 5
Alternatively, we could take the ln of both sides of y = e
which will result in ln y = (ln 5) ln e. Note that ln e = 1 (these two functions are inverses of one another).
Then we are left with ln y = ln 5. Dropping the "ln" operator from both sides,
y=5 (same as before).
They are essentially asking us to solve:
Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
Answer:
the answer is 19.5
Step-by-step explanation:
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