Answer:
Initial value is .
Step-by-step explanation:
Let us assume that the exponential function is ...... (1)
Now, the point will satisfy the above equation.
Now, this point on the graph of the exponential function will be sufficient to find the initial value of the function (1) i.e. a.
Now, putting the value x = 0 and in the equation (1) we get,
⇒
⇒ (Answer)
Answer:
Step-by-step explanation:
Given
See attachment for illustration
Required
Determine the horizontal distance
The horizontal distance is the distance between the technician and the base of the pole.
Represent this with x.
The relationship between x, 175ft and 25 degrees is represented as:
--- i.e. tan formula
Multiply both sides by x
Make x the subject
--- approximated
<em>The distance is approximately 375.3ft</em>
Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change = =
= 1