Will give brainiest!! (09.01 MC) The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, being sold by the company:

graph of quadratic function f of x having x-intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (6 points)

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (4 points)

(72 points)

Part A) see the explanation

Part B) see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Let

x > the price of pencils in dollars

f(x) > a company's profit in dollars

we know that

The function f(x) is a quadratic function having x-intercepts at (0,0) and (10,0)

The x intercepts give us the price when profit is zero, so the x-intercepts represent break-even points

The vertex is at (5,160)

f(x) represent a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the price of the pencils when the value of the profit is maximum

The y-coordinate of the vertex represent the maximum profit

therefore

The maximum profit of $160 is when the price of the pencils is $5

Profit is increasing on the interval (0,5) and decreasing on the interval (5,10)

This represents that profit is increasing when selling price ranges from 0 dollars to 5 dollars, then decreases when selling price is 5 dollars to 10 dollars

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

Find the average rate of change of the graph from x = 2 to x = 5

To find the average rate of change, we divide

Step-by-step explanation:

this is c The set of possible values for the independent variable is called the domain. Similarly, there are constraints on the values for any dependent variable. The set of possible values for the dependent value is called the range.

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

45

step-by-step explanation: