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olganol [36]
3 years ago
10

Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

c = - 2

Step-by-step explanation:

Given inverse function

f^{-1} (5) = - 1 , then

f(- 1) = 5 , that is

- 2c + c(- 1) - (- 1)² = 5

- 2c - c - 1 = 5

- 3c - 1 = 5 ( add 1 to both sides )

- 3c = 6 ( divide both sides by - 3 )

c = - 2

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Answer:

480 people were unemployed full time

Step-by-step explanation:

First thing to do here is to check the percentage of people that were unemployed full time

Looking at the graph, this is equal to 60%

This means that 60% of the total 800 are unemployed full time

Mathematically, that would be 60/100 * 800 = 480 people

8 0
4 years ago
double the sum of all prime numbers between 10and 30 then add thrice the product of all positive numbers less than 8 what is the
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3 years ago
The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the s
katrin2010 [14]

Answer:

ΔABC is a right triangle

length of the concession stand = 42.4 ft (nearest tenth)

Step-by-step explanation:

Given:

  • Side length of square A = 30 ft
  • Side length of square B = 40 ft
  • Side length of square C = 50 ft

We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.

Pythagoras' Theorem: a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

  • a = side length of square A = 30
  • b = side length of square B = 40
  • c = side length of square C = 50

⇒ a² + b² = c²

⇒ 30² + 40² = 50²

⇒ 900 + 1600 = 2500

⇒ 2500 = 2500

Therefore, ΔABC is a right triangle

To find the diagonal of square A, use Pythagoras' Theorem:

Given:

  • a = side length of square A = 30
  • b = side length of square A = 30
  • c = diagonal of square A

⇒ a² + b² = c²

⇒ 30² + 30² = c²

⇒ 900 + 900 = c²

⇒ c² = 1800

⇒ c = √(1800)

⇒ c = 42.42640687

Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)

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viva [34]

Answer:

Step-by-step explanation:

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3 0
3 years ago
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dybincka [34]

Answer:

The big pump moves 22 more gallons in 10mins

Step-by-step explanation:

The total the big pump moves is 30 gallons in 10mins because 3x10 = 30

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