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makkiz [27]
3 years ago
5

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of

helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week. The function that models the scenario, where h is the number of helicopters produced per week, is f(h) = –2(h – 4)2 + 22. When 6 helicopters are produced weekly, the company’s profit is ______thousand dollars.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14

The company's profit is 14 thousand dollars
hope it helped :).
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PLEASE I NEED HELP RN!!!
Dmitrij [34]

9514 1404 393

Answer:

  (1.43, 1.87)

Step-by-step explanation:

The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.

  BC = √((4-3)^2 +(5+1)^2) = √37

  AC = √((-4-3)^2 +(2+1)^2) = √58

  AB = √((-4-4)^2 +(2-5)^2) = √73

Then the incenter is ...

  (A(BC) +B(AC) +C(AB))/(BC +AC +AB)

  ≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425

  ≈ (1.42808, 1.87480)

Rounded to hundredths, the incenter is (1.43, 1.87).

4 0
3 years ago
Solve x^2 + 6x = 7 by completing the square. Which is the solution set of the equation? {–7, 1}
marishachu [46]

Add 9 to both sides to form a perfect square trinomial:

x² + 6x = 7

x² + 6x + 9 = 16

x² + 2•x•3 + 3² = 16

(x + 3)² = 16

(recall that (a + b)² = a² + 2ab + b²)

Now solve for x. Taking square roots on both sides, we get

x + 3 = ± √16

x + 3 = ± 4

x = -3 ± 4

so the two solutions are x = -7 and x = 1.

3 0
2 years ago
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 56.52 inches.
NNADVOKAT [17]
So we want to find the radius of the circle. So just divide 56.52 by 3.14 and 2, which is 9. And then to find the area, just square 9 and multiply it by pi, which is 354.34 square inches.

The area of the rug is 354.34 square inches.

7 0
3 years ago
Read 2 more answers
a rectangle that is 30 inches long and 10 inches wide can be divided into two congruent squares. True or false?
Sever21 [200]

Answer:

False

Step-by-step explanation:

To split the rectangle into 2 parts, you can go one of two ways. One way would make the parts 15" by 10", and the other way would make the two parts 30" by 5". Neither way is equal on all sides, which means neither one is a square. That would make the statement false.

                                                                30

_  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _

|                                                                                                                            |

|                                                                                                                            |

|                                                                                                                       5   |

|                                                                                                                            |

| _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _|

|                                                               30                                                         |

|                                                                                                                             |

|                                                                                                                       5    |

|                                                                                                                             |

| _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _ |

                                                          30

 _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  

|                                15                         |                                15                            |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |   10                                                        |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |                                                               |

|  _  _  _  _  _  _  _  _  _  _  _  _  _  _  |  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _ |

**Pretend my drawings are accurate to the lines, the tops and bottoms are actually 30 and 10 in measurement   :-) **

Hope this helps!

8 0
3 years ago
Read 2 more answers
PLS HELP ME WILL GIVE 25 PONITS AND BRAINLIEST THE BOTS KEEP ON STEALING MY POINTS
Bumek [7]

pls give me thank on my Question

5 0
3 years ago
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