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pentagon [3]
2 years ago
11

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'

Z'. Which rule describes this transformation?
A. (x, y) ---> (x, -y)
B. (x, y) ---> (x, y + 8)
C. (x, y) ---> (-y, x)
D. (x, y) ---> (-x, y)

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer: ITS (A) (x, y) → (x, −y)

Step-by-step explanation:

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3 years ago
In 1990, Dawn gross pay was $48,000.
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A. Dawn's gross monthly pay is<em> $4,000</em> ($48,000/12).

B. The month that Dawn hit her maximum taxable Social Security Income is May (5 months from January to May).

C. In February, 1978, Dawn paid <em>$260</em> in Social Security Tax.

D. In May, 1978, Dawn paid <em>$110.50</em> in Social Security Tax, which represented the balance.

E. In November, 1978, Dawn paid <em>$0</em> in Social Security Tax because by May she had completely paid the maximum Social Security Tax of $1,150.50.

<h3>Data and Calculations:</h3>

Gross earnings in 1990 = $48,000

Maximum taxable income in 1990 = $17,700

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Gross monthly pay = $4,000 ($48,000/12)

Monthly Social Security Tax = $260 ($4,000 x 6.5%)

Total Social Security Tax = $1,150.50 ($17,700 x 6.5%)

In 5 months, Dawn would have paid a <em>total of $1,150.50</em> ($260 x 4 + $110.50) in Social Security Tax.

Thus, the total Social Security Tax paid by Dawn in that year was <em>$1,150.50.</em>

Learn more about Social Security Tax here: brainly.com/question/9741758

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What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
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Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



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