The first graph function has a constant additive rate of change of -1/4.
From the figure:
First of all when we talk about a rate of change that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
In the first graph we can observe that the x variable increases and y - variable decrease.
rate of change = slope = -1/4
from first graph take any two points.
(2,1) and (-2,2)
slope = 2 - 1 / -2-2
= 1/-4
= -1/4
Learn more about the function here:
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Full question:
Is in the image uploaded.
Answer:
The value of tan P = 1.875
Step-by-step explanation:
Given:
PR=17
RQ=15
PQ =8
To find:
tan P = ?
Solution:
In trigonometric ratio
tan = 
Now on substituting the given values(refer the figure)
tan (P) =
tan (P) = 1.875
Answer:
18
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
I hope this helps you
5+1/3v=8-4
6/3v=4
2/v=4
v=2/4
v=1/2
