Answer:
3x2−7x−6=0
x=−7±(−7)2−4(3)(−6)√2(3) =−7±121√6 x=23 and x=−3 x = − 7 ± ( − 7 ) 2 − 4 ( 3 ) ( − 6 ) 2 ( 3 ) = − 7 ± 121 6 x = 2 3 and x = − 3
Step-by-step explanation:
Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
279+1.80s
Step-by-step explanation:
If we add the material cost to the labor cost, this would give us the manufacturing cost.
M(s)+L(s)=(225+0.65s)+(54+1.15s)
We will not combine like terms.
(M+L)s=225+54+0.65s+1.15s
Simplify.
(M+L)s=279+1.80s
The answer that you will get is 19/3
Each sheet is 3 rows and 3 stamps per row, each sheet contains 9 stamps (3*3). For six sheets, multiply 9 stamps per sheet for 6 sheets (9*6), which results in 54 stamps.