Answer:
The multiplicative rate of change is 4
Step-by-step explanation:
The multiplicative rate of change is the common ratio of the exponential growth curve.
The given exponential growth curve is
![f(x) = 2 \times {4}^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%20%5Ctimes%20%7B4%7D%5E%7Bx%7D%20)
This function tells us that, when x=0, f(0)=2.
The subsequent terms can be obtained by multiplying by 4 repeatedly.
Therefore the multiplicative rate of change is 4.
The correct answer is option 2
Answer: the answer in c on edge
Step-by-step explanation:
The other endpoint is (31, -4)
<em><u>Solution:</u></em>
Given that midpoint (23,- 10), endpoint (15.-16)
To find: The other endpoint
<em><u>The formula for midpoint is given as:</u></em>
![\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { the midpoint }(x, y) \text { is given as: }](https://tex.z-dn.net/?f=%5Ctext%20%7BFor%20two%20points%20%7D%5Cleft%28x_%7B1%7D%2C%20y_%7B1%7D%5Cright%29%20%5Ctext%20%7B%20and%20%7D%5Cleft%28x_%7B2%7D%2C%20y_%7B2%7D%5Cright%29%2C%20%5Ctext%20%7B%20the%20midpoint%20%7D%28x%2C%20y%29%20%5Ctext%20%7B%20is%20given%20as%3A%20%7D)
![m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)](https://tex.z-dn.net/?f=m%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
Here in this problem,
![m(x, y) = (23, -10)](https://tex.z-dn.net/?f=m%28x%2C%20y%29%20%3D%20%2823%2C%20-10%29)
![(x_1, y_1) = (15, -16)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%2815%2C%20-16%29)
![(x_2, y_2) = ?](https://tex.z-dn.net/?f=%28x_2%2C%20y_2%29%20%3D%20%3F)
<em><u>Substituting the values in formula we get,</u></em>
![(23,-10)=\left(\frac{15+x_{2}}{2}, \frac{-16+y_{2}}{2}\right)](https://tex.z-dn.net/?f=%2823%2C-10%29%3D%5Cleft%28%5Cfrac%7B15%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7B-16%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
On comparing both sides we get,
![23=\frac{15+x_{2}}{2} \text { and }-10=\frac{-16+y_{2}}{2}](https://tex.z-dn.net/?f=23%3D%5Cfrac%7B15%2Bx_%7B2%7D%7D%7B2%7D%20%5Ctext%20%7B%20and%20%7D-10%3D%5Cfrac%7B-16%2By_%7B2%7D%7D%7B2%7D)
![\begin{array}{l}{46=15+x_{2} \text { and }-20=-16+y_{2}} \\\\ {x_{2}=46-15 \text { and } y_{2}=-20+16} \\\\ {x_{2}=31 \text { and } y_{2}=-4}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B46%3D15%2Bx_%7B2%7D%20%5Ctext%20%7B%20and%20%7D-20%3D-16%2By_%7B2%7D%7D%20%5C%5C%5C%5C%20%7Bx_%7B2%7D%3D46-15%20%5Ctext%20%7B%20and%20%7D%20y_%7B2%7D%3D-20%2B16%7D%20%5C%5C%5C%5C%20%7Bx_%7B2%7D%3D31%20%5Ctext%20%7B%20and%20%7D%20y_%7B2%7D%3D-4%7D%5Cend%7Barray%7D)
Thus the other endpoint is (31, - 4)
Answer:
509.3 miles
Step-by-step explanation:
divide 8658 by 17 to get 509.294117647
round that number to get your answer 509.3