Answer:
x = ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x = ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
|
+ 4 | = |
| = ![\frac{17}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D)
right side =
- 5 = ![\frac{17}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D)
left side = right side , thus x =
is a solution
check second solution
|
+ 4 | = |
| = ![\frac{17}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D)
right side =
- 5 = - ![\frac{17}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D)
right side ≠ left sides, hence not a solution
Answer:
Average rate of change in amount of the element over 10 minutes is 0.15 per minute.
Step-by-step explanation:
Given question is incomplete; find the attachment of this question attached with the answer.
In this experiment change in amount of the element has been plotted on y-axis and duration (time) on x-axis.
Change in amount of the element during 0 to 10 minutes = 1.5 units
Now the duration of this change in amount = 10 minutes
Therefore, rate of change in amount of the element = ![\frac{1.5}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1.5%7D%7B10%7D)
= 0.15 units per minute
The population grew by 8, or 10%.
The gains from births and immigrating in were 21+6=27. The losses from deaths and emigrating out are 12+7=19. (Since it is a loss, it will be -19.)
27-19 = 8 total gained; 8/80 = 1/10 = 10%
Answer;
f (x) = 2x-4g (x) =x^2
Step-by-step explanation: