14. x 2 + 10x − 25 = 0
2 answers:
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Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
Sue Brown owes $280.00 in state taxes for the month.
Step-by-step explanation:
Given,
Gross pay of Sue in June = $8000
Tax rate = 3.5%
As full amount is taxable; therefore
Amount of tax to be paid = 3.5% of pay of June
Amount of tax to be paid =
Amount of tax to be paid = 0.035*8000
Amount of tax to be paid = $280.00
Sue Brown owes $280.00 in state taxes for the month.
Keywords: percentage, multiplication
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