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gulaghasi [49]
3 years ago
7

Solution of 3 |v-3| =9

Mathematics
2 answers:
katen-ka-za [31]3 years ago
5 0

Answer:

S=\left \{ 0\:or\:6 \right \}

Step-by-step explanation:

Absolute value equation has one property that explains why we'll have two solutions for that equation:

|a|=-b \Rightarrow a=-b\:and\:a=b

3|v-3|=9

Dividing by three to simplify it:

3|v-3|=9\\\frac{3|v-3|}{3}=\frac{9}{3}\Rightarrow |v-3|=3\\|v-3|=3\\

Applying that property over here, the absolute value is equal to one value and its symmetrical one. Notice that when we take the bars out v-3=3 and v-3=-3.

v-3=-3\Rightarrow v=-3+3\Rightarrow v=0\\v-3=3\Rightarrow v=3+3 \Rightarrow v=6\\S=\left \{ 0\:or\:6 \right \}

In-s [12.5K]3 years ago
4 0

Answer: v= 6,0

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! ☺

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user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
  3. State tax: (21% of 3)% of $810= \frac{21\times3 }{100} \times\frac{810}{100} = 0.63% of $810 = \frac{0.63\times810}{100} = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
  1. State tax: (21% of 4)% of $810 = (\frac{21\times4}{100}) \times\frac{810}{100} = 0.84% of $810 = \frac{0.84\times810}{100} =  $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

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2 years ago
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At 12 noon a ship going due east at 12 knots crosses 10 nautical miles ahead of a second ship going due north at 16 knots
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6t-10is the awsner. If s is the number of nautical miles separating the ships, express s in terms of t(the number of hours after 12 noon). I formed the equation s squared to the second power equals (12t) squard to the second power + (10 - 16) squared to the second power
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100/9 write as a mixed number plz
stira [4]

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Step-by-step explanation:

7 0
3 years ago
Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers unselected.
Setler79 [48]

Answer:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x³

k(x) = - 3 x + 1

Step-by-step explanation:

The function notation ⇒ it is the form to write the function, It is meant to be a precise way of giving information about the function, like f(x) , v(x) and so on.

Given the following:

g(x) = 5x + 2.

y = 1 x

h = x²

r(x) = x

f/x = x⁵ - 3

b(x) = 1/2 x³

p/x = -7x

k(x) = - 3 x + 1

y = mx + b

fx = -x³ + 4

So, in the given options the following are in function notations:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x³

k(x) = - 3 x + 1

8 0
3 years ago
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