Answer:
Average rate of change = 3
Step-by-step explanation:
- We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].
here a = -3 and b = 4
⇒ Average rate of change = f(b) - f(a) / b - a
= (27 - 6) / (4 - (-3))
= 21 / 7
= 3
Therefore, Average rate of change = 3
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:
Split the fraction as follows:
Take the LCM
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
Hence, the partial fraction decomposition is
Read more about partial fraction at:
brainly.com/question/12783868
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Answer:
17/20
Step-by-step explanation:
0.85 is the same as 85/100 which can be simplified to 17/20 by dividing both the numerator and denominator by 5.
