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
postnew [5]
3 years ago
14

Anyone now how to do this problem I'm lost on it? Please

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0
The profit function P(x) is a parabola.

To find the maximum profit, you need the vertex of the parabola.

The vertex can be found using the formula x = \frac{-b}{2a}

where a = -.001 , b = 3,  c = -1800

x = \frac{-3}{2(-.001)} = 1500

Part a) Profit is maximized when x = 1500.

To find Profit, plug 'x' into profit function.
P_{max} = -.001(1500)^2 + 3(1500) - 1800 = 450

Part b)  Daily max Profit is $450

Next to find the break even point, when profit = 0.

Set profit function equal to 0 and solve for 'x'.

This is a quadratic equation, so use the quadratic formula.

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}  \\  \\ x  = \frac{-3 \pm \sqrt{9 - 4(-.001)(-1800)}}{2(-.001)} \\  \\ x = 829.18 , 2170.82

Finally, the avg rate of change is simply the slope of the line between 2 points on the parabola.  Use slope formula.

= \frac{P(2100) - P(1200)}{2100 - 1200} = \frac{90 - 360}{2100-1200} = \frac{-270}{900} = -\frac{3}{10}

Part d)  Avg rate of change = -3/10
You might be interested in
Explain the different ways it is possible to add two rational numbers and get a negative number
snow_lady [41]
<u><em>Answer:</em></u>
both numbers are negative
negative number is greater than the positive number

<u><em>Explanation:</em></u>
<u>In order to add two rational numbers and get a negative value, one of two scenarios should occur:</u>
<u>1- both numbers are negative.</u>
In this case, the answer would definitely be negative as the two numbers are originally negative
<u>Examples:</u>
-9 + -2 = -9 - 2 = -11
\frac{-1}{2} +   \frac{-3}{2} =  \frac{-4}{2} = -2

<u>2- negative number is greater than the positive number</u>
In this case, the negative sign would dominate and the result would be negative
<u>Examples:</u>
-9 + 3 = -6
\frac{-5}{6} +  \frac{2}{6} =  \frac{-3}{6}

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Which of the following is the simplified
Umnica [9.8K]

Answer:

C. 8a - 36

Step-by-step explanation:

a + 3a - 4(9-a)

a + 3a - 36 + 4a

8a - 36

4 0
3 years ago
Read 2 more answers
Classify the following as a fraction, expression, equation, or inequality b - 7 &lt; 17
insens350 [35]

D. Inequality

An expression would just contain simple arithmetic without any symbols relating two things to another.

An equation must contain an equals sign.

A fraction will have a bar representing division.

An inequality contains a sign representing a comparison of magnitude, in this question less than <.

Hope this helps!!

3 0
3 years ago
PLEASE HELP IM STUCK ON THIS
Stella [2.4K]

Answer:

23

Step-by-step explanation:

5 0
3 years ago
The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?
Finger [1]

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40

Now, the second number from the above six consecutive even numbers  is x+2.

Substitute the value of x in it, we get

The second number in this sequence = x+2=40+2=42

3 0
3 years ago
Read 2 more answers
Other questions:
  • Steve is analyzing two linear functions, f(x) and g(x). Will they intersect?
    11·1 answer
  • Solve this I don't understand this
    5·1 answer
  • Simplify: <br><br> 6x + 2 - 1 - 4 - 3 - 2x + 2
    9·2 answers
  • Doing 1 week at Jackson School 210 students buy milk and 196 students by twos how many drinks are sold that week
    7·1 answer
  • a triangle has an area of 32 square feet centimeters and a base of 8 centimeters. what is the width of the rectangle​
    11·1 answer
  • In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. In the survey,
    9·1 answer
  • I need help -6x&lt;-18 or x+45-1
    9·1 answer
  • What is 2 8/15+ 1 1/30
    13·2 answers
  • What is the value of x?<br> Enter your answer in the box
    12·1 answer
  • Help I’m doing 8th grade work
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!