1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NikAS [45]
3 years ago
9

PLS HELP ILL MARK U BRAINLIEST The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, i

n dollars, 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? (4 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? (3 points)

Part C: Describe the constraints of the domain. (3 points)
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer: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:

You might be interested in
Complete the equation of the line whose slope is 5 and y intercept is (0,4)
irina1246 [14]

y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)

<em><u>Solution:</u></em>

Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ---- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, slope = m = 5

y intercept is (0, 4)

So, c = 4

<em><u>Substitute c = 4 and m = 5 in eqn 1</u></em>

y = 5x + 4

Thus the equation of line is found

7 0
3 years ago
14 = 6+z / -2, Solve each equation. Check your solution.
aev [14]

Answer:

-16

Step-by-step explanation:

14=6+z/-2

14-6=z/-2

8=z/-2

z=8*-2

z=-16

5 0
3 years ago
Write an equation for each line in slope-intercept form.​
Katarina [22]

Answer:

Line 1 : y = -2x - 5

Line 2 : y = -3x + 3

Step-by-step explanation:

note the slope, and then note the y intercept

8 0
2 years ago
Read 2 more answers
A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten stu
lana [24]
The average score is 90.6
2x100=200
9x95= 855
10x90=900
80x3=240
1x70=70
Total. 2265
2265/25=90.6
6 0
3 years ago
Read 2 more answers
Write the equation of a line that goes through point (4,0) and has an undefined slope
Mekhanik [1.2K]

Answer:

<h2>x = 4</h2>

Step-by-step explanation:

A line with undefined slope is a vertical line.

An equation of a vertical line: x = a  (a - real number).

Each point on a line x = a has coordinates (a, b)  (b - any real number).

We have the point (4, 0) → x = 4

5 0
3 years ago
Read 2 more answers
Other questions:
  • Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
    5·1 answer
  • The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Fin
    11·1 answer
  • Solve for the positive value of x: 6x2 – 54 = 0
    15·1 answer
  • Question 95 pts
    6·1 answer
  • a plumber has a very long piece of pipe is used to run the water parallel to a major place the pipe is cut into two sections 1 s
    15·1 answer
  • A store normally sells a floor lamp for $83.99. The store is having a sale that reduces the lamp's price by 15%. How much does t
    13·1 answer
  • How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..]
    10·1 answer
  • What is something that multiplies everyday
    9·2 answers
  • I need help with this question it's for a important grade so pls really help.​
    9·1 answer
  • Question 7 of 10
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!