1. 343x³ - 8 = 0
343x³ + 98x² - 98x² + 28x - 28x - 8 = 0
343x³ + 98x² + 28x - 98x² - 28x - 8 = 0
7x(49x²) + 7x(14x) + 7x(4) - 2(49x²) - 2(14x) - 2(4) = 0
7x(49x² + 14x + 4) - 2(49x² + 14x + 4) = 0
(7x - 2)(49x² + 14x + 4) = 0
7x - 2 = 0 or 49x² + 14x + 4 = 0
+ 2 + 2 x = -(14) ± √((14)² - 4(49)(4))
7x = 2 2(49)
7 7 x = -14 ± √(196 - 784)
x = ²/₇ 98
x = -14 ± √(-588)
-98
x = -14 ± 14i√(3)
-98
x = -14 + 14i√(3) or x = -14 - 14i√(3)
-98 -98
x = ¹/₇ - ¹/₇i√(3) or x = ¹/₇ + ¹/₇√(3)
x = ¹/₇ ± ¹/₇i√(3)
Solution Set: {¹/₇ ± ¹/₇i√(3), ²/₇}
2. 64x³ = 0
64 64
x³ = 0
∛(x³) = ∛(0)
x = 0
Solution Set: {0}
Answer:
$311.2
Step-by-step explanation:
$283 times 10% equals $28.3
$283 plus $28.3 equals $311.2
Since there are a total number of 15 members participating, you would divide 150 by 15 since everyone would get their fair share. Next you would multiply 10 by 9 which would result to $90 and the profit the math club received
Answer:
$91,620
Step-by-step explanation:
1.8% = $54
$3000 + $54 = $3054
$3054 × 30 = $91,620
Hope this helped!
Answer:
A. 2 (I can't really see the graph clearly, I think this is right)
Step-by-step explanation:
(1,4)(2,6)
6-4 =2
2-1 =1
2/1 =2