The average rate of change of f(x) on the interval [5, 5 + h] is 1
<h3>How to find the
average rate of change of f(x) on the interval [5, 5 + h]?</h3>
The equation of the function is given as:
f(x) = x + 11
The interval is given as: [5, 5 + h]
So, we start by calculating f(5) and f(5 + h)
This gives
f(5) = 5 + 11 = 16
f(5 + h) = 5 + h + 11 = h + 16
The average rate of change of f(x) on the interval [5, 5 + h] is then calculated as:
Rate = [f(5 + h) - f(5)]/[5 + h - 5]
Substitute the known values in the above equation
Rate = (h + 16 - 16)/(5 + h - 5)
Evaluate the sum and the difference
Rate = h/h
This gives
Rate = 1
Hence, the average rate of change of f(x) on the interval [5, 5 + h] is 1
Read more about the average rate of change at
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Answer:
Option (1)
Step-by-step explanation:
From the given number line,
Arrow starts from x = 1 with a hollow circle and moves towards negative numbers.
Hollow circle represents the sign of less than (<) or Greater than (>).
And arrow towards negative numbers represents the sign of less than (<)
Therefore, x < 1 will be the answer.
Option (1) will be the correct option.
I hope this helps!
Can I please have brainiest?
Answer:
Step-by-step explanation:8/3 = T (2.2 + 3*2.2) = 4*2.2 T
T = 2/6.6 Hr = 1/3.3 hr
so how long did the bird fly? t+T
4/6.6 + 2/6.6 = 6/6.6 hours
and how far did it go?
6.6 + 6/6.6*6.6 = 2*6.6 = 13.2km
ANSWER
The resulting parabola in vertex form is:
EXPLANATION
The original equation of the parabola is given as
This parabola has its vertex at the origin.
If the graph of this parabola is shifted four units right and three units down, then the new equation is:
This the equation of the transformed parabola.
Its vertex is now at (4,-3).
