<u>Answer</u>
x = 20
<u>Explanation</u>
Multiply the entire equation by 2 to get rid of the fraction.
x/2 * 2 = x
-4 * 2 = -8
6 * 2 = 12
Now, we have:
x - 8 = 12
To complete, add 8 to both sides
x = 20
Part A.
Y intercept is the coordinate (0,y), when the function has an x value of 0, it is the y intercept.
In this case:
(0,5) =
y intercept = 5
IT tells about the turtle that it starts at a nest displacement of 5 miles.
Part B
The average rate of change represents the speed .
x1=1 ,y1=27
x2=4 ,y2=93
We have to calculate the slope if the function:
![\text{slope}=\text{ }\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Ctext%7Bslope%7D%3D%5Ctext%7B%20%7D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Replace:
![\text{slope}=\frac{93-27}{4-1}\text{ = }\frac{66}{3}=22](https://tex.z-dn.net/?f=%5Ctext%7Bslope%7D%3D%5Cfrac%7B93-27%7D%7B4-1%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B66%7D%7B3%7D%3D22)
Part C.
speed = distance /time
time= distance / speed
time= 225 / 22 = 10.22 hours
The domain will be
0< x ≤ 10.22
(3x/2 - 2y a)4
is the answer!
I think its 162 but i dont know so hope this helps sorry if it dont
Answer:
3
Step-by-step explanation:
Here we have the function
![f(x)=3x-5](https://tex.z-dn.net/?f=f%28x%29%3D3x-5)
We want to find the following ratio:
![\frac{f(x+h)-f(x)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D)
Note that the limit of this for
is equivalent to the derivative of the function.
Here we have:
![f(x+h)=3(x+h)-5=3x+3h-5](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D3%28x%2Bh%29-5%3D3x%2B3h-5)
And
![f(x)=3x-5](https://tex.z-dn.net/?f=f%28x%29%3D3x-5)
Therefore we have
![f(x+h)-f(x)=3x+3h-5-(3x-5)=3h](https://tex.z-dn.net/?f=f%28x%2Bh%29-f%28x%29%3D3x%2B3h-5-%283x-5%29%3D3h)
And therefore,
![\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B3h%7D%7Bh%7D%3D3)