Answer:


And replacing the data into the average rate formula we got:

And then the best answer for this case would be:
C. 27.5
Step-by-step explanation:
For this cae we know that the average rate of change of a function is given by this general expresion:

For this special case from the info of the table we have:


And replacing the data into the average rate formula we got:

And then the best answer for this case would be:
C. 27.5
Answer: The correct option is (C) Packages x 3 = Pens
Step-by-step explanation: Given that each package of pens contains 3 pens.
We are to choose the correct mathematical relation between number of pens and number of packages.
Let, n represents the number of pens and N represents the number of packages.
Then, according to the given information, we have

Thus, the correct relation is
Packages x 3 = Pens.
Option (C) is CORRECT.
The function of the polynomial is (b) 
From the graph, we have the following highlights
- The graph crosses the x-axis at x = -1 and x = 3
- The graph touches the x-axis at x = -2
The above highlights mean that:
- The function has a multiplicity of 1 at x = -1 and x = 3
- The function has a multiplicity of 2 at x = -2
So, the function of the polynomial is:

Assume a = 1.
So, we have:

Multiply

Hence, the function of the polynomial is (b) 
Read more about polynomial graphs at:
brainly.com/question/8878887
Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units