Answer:
n=-22 or n=6
Step-by-step explanation:
|n+8|=14
Therefore, n=-22 or n=6
Answer:
The ball is in the air for approximately 3.27 seconds ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The height of the ball is modeled by the function
h(t) = -4.9 t² + 16 t
- We need to find the time that the ball is in the air
- The ball is in the air from its initial position and then return to the
same position
- That means h(t) = 0 because h(t) represent the height of the ball
from its initial position
∵ h(t) = -4.9 t² + 16 t
∵ h(t) = 0
∴ 0 = -4.9 t² + 16 t
- Add 4.9 t² to both sides
∴ 4.9 t² = 16 t
- Subtract 16 t from both sides
∴ 4.9 t² - 16 t = 0
- Take t as a common factor
∴ t (4.9 t - 16) = 0
- Equate each factor by 0
∴ t = 0 and 4.9 t - 16 = 0
∵ 4.9 t - 16 = 0 ⇒ add 16 for both sides
∴ 4.9 t = 16
- Divide both sides by 4.9
∴ t = 3.2653
∴ t = 0 ⇒ initial position
∴ t = 3.2653 seconds ⇒ final position
* <em>The ball is in the air for approximately 3.27 seconds</em>
The first question is non-linear because it is an exponential equation, which is a curved line on a graph.
The second question is linear because you gain 5 every week, which is a straight line.
<h3>
Answer: 3x</h3>
Explanation:
When x is zero or larger, then |x| = x.
An example: |9| = 9
This applies to |3x| as well, so |3x| = 3x when 
Answer:
Step-by-step explanation:
First, we can divide out the common factor, 6
Now we complete the square
