6x-2(x+1)>0
6x-2x+2>0
4x+2>0
4x+2-2>-2
4x<1/2
Answer:
£1.80/kg
Step-by-step explanation:
The total spent on apples and pears is £12.70, and this is the sum of the costs of the apples and the pears respectively:
£12.70 = (unit cost of apples)(2 kg) + (unit cost of pears)(7 kg), or
£12.70 = (unit cost of apples)(2 kg) + (£1.30/kg)(7 kg).
Solving for (unit cost of apples)(2 kg), we get £12.70 - (£1.30/kg)(7 kg), or:
(unit cost of apples)(2 kg) = £12.70 - £9.1 = £3.60
Solving for (unit cost of apples), we divide both sides by (2 kg), obtaining:
£3.60
(unit cost of apples) = ---------- = £1.80/kg
2 kg
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture. The given equation is
Breaking it into partial fractions,
From the given transformation equation:
-1/s ⇔ -e^0t ⇔ 1
1/(s-5) ⇔ e^-(-5t) ⇔ e^5t
1/(s-6) ⇔ e^-(-6t) ⇔ e^6t
1/(s-30) ⇔ e^-(-30t) ⇔ e^30t
Therefore, the laplace equation is equal to 1*e^5t*e^6t*e^30t which is simplified into
e^41t,
Answer:
D
Step-by-step explanation:
as 70⁰F is s positive number it is greater than any negative number, to in order to see how far apart it is, you have to subtract the lower number from the higher number hence 70⁰F-(-225⁰F) because the 225⁰F is a negative that you are subtracting, 70⁰+225⁰F could also work, as the two negative cancel out