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3 years ago

Determine the slope of the line 3x − 5y − 6 = 0

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

0=10, which is " never true" , and this leads to " no solution" also

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In 1990, Dawn gross pay was $48,000.

forsale [732]

A. Dawn's gross monthly pay is $4,000 ($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 $260 in Social Security Tax.

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

E. In November, 1978, Dawn paid $0 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

Social Security Tax Rate = 6.5%

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 total of $1,150.50 ($260 x 4 + $110.50) in Social Security Tax.

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

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

4 0

2 years ago

The sum of three consecutive odd numbers is one hundred fifty-nine

xeze [42]

First remember that sum means to add. now think about the equation. we need to find 3 numbers that equal 159 when added together. And they are all consecutive odd numbers. so let's call the first number X. the second number would be X+2 since we have to jump over 1 even number. The third number would be X+4 since we have to jump over 2 even numbers. so now an equation to represent this would be X+(X+2)+(X+4)=159. Add like terms, and remember order of operations. if you need help getting the answers leave me a comment.

8 0

3 years ago

Which of the following is not a polynomial?

nignag [31]

Answer:

Step-by-step explanation:

A is not a polynomial as the power of x is less than one

3 0

2 years ago

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3, what is the equation of the new function?

vekshin1

The correct answer is C

3 0

3 years ago

Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other

sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have general equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into standard form to infer its graphical form. This procedure can be done by algebra properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

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4 0

1 year ago