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erma4kov [3.2K]
3 years ago
10

Evaluate 5-(x-2)^2 for x=-1

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Step-by-step explanation:

5-(x-2)²

When x=-1, then

  • 5-(-1-3)²
  • 5-(-4)²
  • 5-(-4×-4)
  • 5-16
  • -11

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Y_Kistochka [10]

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

  • \frac{x}{10} = \frac{5x}{7}-43
  • \frac{1}{10}x=\frac{5}{7}x-43

Step 2: Subtract 5/7x from both sides.

  • \frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x
  • \frac{-43}{70}x = -43

Step 3: Multiply both sides by 70/(-43).

  • \frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}
  • x = 70

Step 4: Check if solution is correct.

  • \frac{(70)}{10}=\frac{5(70)}{7}  -43
  • 7 = \frac{350}{7} - 43
  • 7 = 50 - 43
  • 7 = 7

Therefore, x = 70.

5 0
3 years ago
B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the nu
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).

Hence:

T ∝ S; T ∝ 1 / E

Let k be the constant of proportionality. This gives:

T = kS / E

when T = 12 minutes, S = 20000, E = 20. Hence:

12 = k(20000) / 20

20000k = 240

k = 12 / 1000

This gives:

T = \frac{12}{1000}(\frac{S}{E} )

When  S = 36000, E = 24, we are to calculate the time (T):

T=\frac{12}{1000} (\frac{36000}{24} )=18\\

T = 18 minutes

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3 years ago
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Answer:

f(a) = 2a² + 4a + 5

Step-by-step explanation:

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3 years ago
Austin needs to memorize words on a vocabulary list for German class he has memorized 22 of the words which is one half of the l
Marizza181 [45]

Answer:

44

Step-by-step explanation:

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4 years ago
What's the answer to this one problem thanks
Firlakuza [10]
The correct answer to this problem is D.
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