Answer: x<4
Given the inequality:

We want to solve the inequality for x.
First, distribute the bracket on the right side of the inequality.

Next, subtract 10x from both sides of the inequality.

Add 24 to both sides of the inequality.

Divide both sides of the inequality by 6.

The solution to the inequality is x<4.
Answer:
24.269
Step-by-step explanation:
Answer:
x = (1/2) (-9 ± √73)
Step-by-step explanation:
Using completing the square method
x²+9x+2=0
x²+9x = -2 (complete the square by adding (9/2)² to both sides)
x²+9x + (9/2)² = -2 + (9/2)²
( x + (9/2) )² = -2+ (9/2)²
( x + (9/2) )² = -2+ (81/4)
( x + (9/2) )² = 73/4
x + (9/2) = ± √(73/4)
x + (9/2) = ± √(73) / 2
x = -(9/2) ± √(73) / 2 (factorize out (1/2) )
x = (1/2) (-9 ± √73)
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:
- Social Security Tax: 6.2% of $810 =
= $50.22 - Medicare tax : 1.45% of $810 =
= $11.745 - State tax: (21% of 3)% of $810=
= 0.63% of $810 =
= $5.103
Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).
- For Federal Withholding Allowance = 4:
- State tax: (21% of 4)% of $810 =
= 0.84% of $810 =
= $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
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