Answer:
The answer is C!
Step-by-step explanation:
I just took this on a p e x and this is the answer because it would be the most random I believe?
Answer: the low temperature on Tuesday is 0 degree Fahrenheit
Step-by-step explanation:
The low temperature on Monday was 6 degrees warmer than Sunday's low of -9°F. This means that the temperature on Monday would be
- 9 + 6 = - 3 degrees Fahrenheit
The low temperature on Tuesday was 3 degrees warmer than Monday's low temperature. This means that the low temperature on Tuesday would be
- 3 + 3 = 0 degree Fahrenheit
Answer:
![f(a) = 2a + 8](https://tex.z-dn.net/?f=f%28a%29%20%3D%202a%20%2B%208)
![f(x + h) = 2x + 2h + 8](https://tex.z-dn.net/?f=f%28x%20%2B%20h%29%20%3D%202x%20%2B%202h%20%2B%208)
![\frac{f(x + h) - f(x)}{h} = 2](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D%20%3D%202)
Step-by-step explanation:
Given
![f(x) = 2x + 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20%2B%208)
Required
![f(a)](https://tex.z-dn.net/?f=f%28a%29)
![f(x + h)](https://tex.z-dn.net/?f=f%28x%20%2B%20h%29)
![\frac{f(x + h) - f(x)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D)
Solving for f(a)
Substitute a for x in the given parameter
becomes
![f(a) = 2a + 8](https://tex.z-dn.net/?f=f%28a%29%20%3D%202a%20%2B%208)
Solving for f(x+h)
Substitute x + h for x in the given parameter
![f(x + h) = 2(x + h) + 8](https://tex.z-dn.net/?f=f%28x%20%2B%20h%29%20%3D%202%28x%20%2B%20h%29%20%2B%208)
Open Bracket
![f(x + h) = 2x + 2h + 8](https://tex.z-dn.net/?f=f%28x%20%2B%20h%29%20%3D%202x%20%2B%202h%20%2B%208)
Solving for ![\frac{f(x + h) - f(x)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D)
Substitute 2x + 2h + 8 for f(x + h), 2x + 8 fof f(x)
becomes
![\frac{2x + 2h + 8 - (2x + 8)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20%2B%202h%20%2B%208%20-%20%282x%20%2B%208%29%7D%7Bh%7D)
Open Bracket
![\frac{2x + 2h + 8 - 2x - 8}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20%2B%202h%20%2B%208%20-%202x%20-%208%7D%7Bh%7D)
Collect Like Terms
![\frac{2x - 2x+ 2h + 8 - 8}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20-%202x%2B%202h%20%2B%208%20%20-%208%7D%7Bh%7D)
Evaluate the numerator
![\frac{2h}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B2h%7D%7Bh%7D)
![2](https://tex.z-dn.net/?f=2)
Hence;
![\frac{f(x + h) - f(x)}{h} = 2](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D%20%3D%202)
C I just took the test have a good day!
The rule that represents the height of the ball after each bounce is;
H(n) = 400(0.8)^(n - 1)
<h3>Geometric Sequence Progression</h3>
From online sources, we have that;
After first bounce, height = 400 m
After 2nd bounce, height = 320 m
After 3rd bounce, height = 256 m
Formula for the nth term of a geometric sequence is;
T_n = ar^(n - 1)
First term is 400m
Since second term is 320, then common ratio is;
r = 320/400
r = 0.8
Thus, the 6th bounce which is the 6th term will be;
T_6 = 400 * 0.8^(6 - 1)
T_6 = 131 m
Read more about geometric sequence at; brainly.com/question/21688964