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Cloud [144]
3 years ago
6

The answer of this problem

Mathematics
1 answer:
ryzh [129]3 years ago
8 0
2^4 Hope this helps!!!

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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
From 24 teachers to 30 teachers Find each percent increase. Round to the nearest percent
yulyashka [42]
% = (Change/Original) * 100
= (6/24) * 100
= (0.25) * 100
= 25%
5 0
3 years ago
Read 2 more answers
Can someone please help me please I really need help please answer it correctly
kvv77 [185]

Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

<u>Total charge will be:</u>

  • y = 13x + 47
<h3>Chad's Flowers</h3>

<u>Total charge will be:</u>

  • y = 17x + 35

<u>Since the total charge is same in both shops, we have:</u>

  • 13x + 47 = 17x + 35

<u>Solve for x:</u>

  • 17x - 13x = 47 - 35
  • 4x = 12
  • x = 3

<u>Total cost is:</u>

  • 13*3 + 47 = 39 + 47 = 86

<u>Small arrangements</u> = 3, <u>cost </u>= $86

7 0
2 years ago
Which of the following expressions is equivalent to the one above? 42x + 21.
stiks02 [169]

Answer:

21(2x+1)

Step-by-step explanation:

42x+21=21(2x+1)

6 0
3 years ago
Which of the following is an equation of a line perpendicular to the equation y=-2/3x-4?
STatiana [176]

Answer:

69

Step-by-step explanation:

4 0
3 years ago
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