I think the correct answer from the choices listed above is option A. The completely factored formed of the function xy^3 – (x^3)y would be xy (x+y) (x-y). It is factored as follows:
<span>xy^3 – x^3y
xy (y^2 - x^2)
xy (x+y) (x-y)
</span><span>
</span>
Step-by-step explanation:
3.5 hours for 1 cake means 3.5 hours per cake.
similar : 2 hours for 1 pie means 2 hours per pie.
so, if there are e.g. 3 pies, they take 3×2 = 6 hours.
therefore the general constraint is
3.5x1 + 2x2 <= 70
I think the names "x1" and "x2" are confusing when writing this inequality.
I prefer to use x and y.
and then it would look like
3.5x + 2y <= 70
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
Rational because the answer was simplified already as 12÷4=3
Exponential decay is a very common process especially when we are talking about radioactive materials. So, there is already a common formula for this type of behavior which is written below:
A = Pe^-rt
where
A is the amount left after time t
P is the initial amount at t=0
r is the rate
Substituting the values,
A = (780 g)(e^-0.163*16)
A = 57.5 g
