Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:
and 
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:
Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>
<u>Section B</u>
Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.
It is 25 times greater. This is because 
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Answer:
60 ft is 720 in. I did 720/15...that equals 48. At this point i think each in in the drawing is a foot, so every one in is 48 ft.
(x+48)
there is no y because they only give information about one side. hope this helps. :)
Step-by-step explanation:
Answer:
1. parental function is g(x)=√x
2. parental function is g(x)=3√x
Step-by-step explanation:
1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=√x
Horizontal Shift: None
Vertical Shift: Down 9 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
2. Parent Function: g(x)=3√x
Horizontal Shift: Left 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: Reflected
Vertical Compression: Compressed
Based on the vertex form equation, the statements that are true are:
A.) the drone reaches its minimum 25 miles from the launch site
C.) at its minimum, the drone’s depth is -180 meters.
<h3>Rewriting the equation in vertex form</h3>
Given:
x = horizontal distance, in miles, from the launch site
d(x)= depth below the surface of the water, in meters.
Equation= 0.4x ²- 20x + 70
Hence
Rewritten the given equation ( 0.4x ²- 20x + 70) in vertex form will be:
Vertex form: d(x)=[2(x-25)²÷5] -180
Vertex= -180, 25
Minimum=-180 at x=25
Therefore the correct option is A, C.
Learn more about vertex form here:brainly.com/question/17987697
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