Answer:
The average rate of change is:

Step-by-step explanation:
The rational function given to us is;





The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =


Answer:
The midpoint M is (5,7)
Step-by-step explanation:

U(8,9)
V(2,5)
m = [(8+2)/2 , (9+5)/2]
= [(10/2) , (14/2)]
= (5,7)
(Correct me if i am wrong)
Answer:
To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).
Step-by-step explanation:
Answer:
-5.1x + 12.3
Step-by-step explanation:
Combine like terms: first, combine the x terms, obtaining -5.1x.
Next, combine the constants, obtaining 12.3.
The simplified expression is -5.1x + 12.3
Step-by-step explanation:
multiple possibilities.
e.g.
we could use Pythagoras to get QR, and then use the law of sine to get angle P.
or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.
I propose the second option :
the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides always opposite of their associated angles.
33.8/sin(R) = 57.6/sin(90) = 57.6
sin(R) = 33.8/57.6 = 0.586805555...
R = 35.93064691...°
180 = 90 + 35.93064691... + P
P = 54.06935309...°