To solve the average rate of change, use the formula of the slope:
m = ( y2 - y1 ) / ( x2 - x1 )
but first we must solve the value of the function when x = 3
f(3) = - log ( 4 * 3 ) + 5
f (3) = 3.92
solve the function when x = 8
f(8) = - log ( 4 * 8) + 5
f(8) = 3.49
so the average rate of change
m = ( 3.49 - 3.92 ) / ( 8 - 3)
m = - 0.09
Answer:
Takin LHS
cot²a . cos²a
cos²a/sin²a-cos²a
cos²a -cos²a.sin²a/sin²a
cos²a(1-sin²a)/sin²a
cot²a.cos²a LSH=RHS PROved
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- we add 1 each time
- we subtract 3 each time

Let's try the next one:
- we add 1 each time
- we add 5 each time

Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- we add 1 each time
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
x equal four-teen... I'm pretty sure brainliest plsss