Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer:
A is f ", B is f, C is f '.
Step-by-step explanation:
Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
Answer:
Step-by-step explanation:
In this problem, it is given that,
The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V.
We need to write the direct variation equation for the scenario above. It can be given by :
To remove the constant of proportionality, we put k.
k is any constant
Hence, this is the required solution.
The correct answer is points
y = (t x - m -s)/r
Step-by-step explanation:
Step 1 :
Given,
r y + s = t x - m
=> r y = t x - m -s
=> y = (t x - m -s)/r
Step 2 :
A) r can take any values except 0.
This is because when r = 0, the denominator becomes 0 and division by 0 is undefined
The limitation for r is r should not be equal to 0
The other variables can take any value. Hence the other variables do not have any limitation
