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Monica [59]
3 years ago
12

If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
F+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1
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In 1990, Dawn gross pay was $48,000.
forsale [732]

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

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 <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

4 0
2 years ago
I am really confused about this question for math.. any help would be really appreciated:
Elina [12.6K]

y= (\frac 1 4 )^x

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

y'= -y = - (\frac 1 4)^{x'}

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

So

x'=x''/2, y'=y''/2

y''/2= - (\frac 1 4)^{x''/2}

y'' =  - 2((\frac 1 4)^{1/2})^{x''}

y''= - 2(\frac 1 2)^{x''}

We can rewrite that without the primes and combine the powers of 2.

y =  - 2^{1-x}

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

6 0
3 years ago
What is an equation of the line that passes through the points (-1, 6) and<br> (-1, -5)?
lawyer [7]

Answer:

x = -1

Step-by-step explanation:

Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.

So the equation of the line is x = -1.

5 0
2 years ago
3x + 9 &gt; -18
aleksklad [387]

Answer:

The written form would be "Nine more than three times a number is greater than -18.

Step-by-step explanation:

To graph it, you must first solve for x.

3x + 9 > -18

3x > -27

x > -9

Now we can graph this by putting an open dot at -9 and then drawing an arrow to the right.

4 0
3 years ago
Which function shows a fabric with a price of $1.25 per square yard?
sladkih [1.3K]

Answer:

x(1.25)

Step-by-step explanation:

x is the yards.

so for example if you need 2 yards of fabric replace x with 2.

5 0
3 years ago
Read 2 more answers
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