for the implicit integration I got:

the vertical tangent would at points at which y' goes to infinity.
that happen when the right-hand side has singularities, that is, the denominator is 0:

so the two points y above have a vertical tangent.
Answer:
x = - 3
Step-by-step explanation:
Given
7(x + 2) = 2x - 1 ← distribute parenthesis on left side
7x + 14 = 2x - 1 ( subtract 2x from both sides )
5x + 14 = - 1 ( subtract 14 from both sides )
5x = - 15 ( divide both sides by 5 )
x = - 3
If you would like to know how many minutes will it take you to mow a lawn that measures 6000 square feet, you can calculate this using the following steps:
800 square feet ... 15 minutes
6000 square feet ... M minutes = ?
800 * M = 15 * 6000
M = 15 * 6000 / 800
M = 112.5 minutes
This will take 112.5 minutes.
Answer:
A
Step-by-step explanation:
Answer:
The inequality that comes from this equation is -2 < x < 0
Step-by-step explanation:
In order to solve this equation, we need to start by solving for the absolute value portion of the equation.
-5l2x + 2l + 7 > -3
-5l2x + 2l > -10
l2x + 2l < 2
Now we need to split the equation into two different portions. One with the absolute value symbol taken away. Then we do it again with the symbol flipped and the answer negated.
2x + 2 < 2
2x < 0
x < 0
And the negated version.
2x + 2 > -2
2x > -4
x > -2