The average rate of change of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
-------------
b-a
In this specific case, a=2 and b = 3.
f(2) = -3 and f(3) = -1.
Thus, the average rate of change here of f(x) on the interval [2,3] is:
-1 - (- 3) 2
------------- = ------------- = 2 (answer)
3-2 1
Simple...
you have: 8x-6y=1
You're trying to find m-->>using y=mx+b to re-write the line....
8x-6y=1
8x-6y=1
-8x -8x
-6y=-8x+1

y=
Your slope m=
Thus, your answer.
The way to solve it is to put the 154 on top of 35 and multiply it to get the answer, 154 times 35 = 5390
Given: 3y cos x = x² + y²
Define

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
X+10=15
Isolate x by subtracting 10 from both sides
x+10-10=15-10
x=5
Final answer: B
Check by plugging the value in
5+10=15
True