Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>
Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.
In this scenario, the passive income sources are:
- Stock dividends
- Business investment interest
- Royalties from a novel
Total passive income therefore is:
= 530 + 1,080 + 1,400
= $3,010
In conclusion, the total passive income is $3,010.
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Perimeter = 2L + 2W where L = length and W = width.
So we have
2*14.14 + 2W = 59.59
2W = 59.59 - 2*14.14
2W = 59.59 - 28.28 = 31.31
W = 31.31 / 2 = 15.66 to 2 decimal places
Answer:
ASA
Step-by-step explanation:
I think is Asa because it means when any two angles and their included sides are equal in both triangles.
Answer:
Overshoot.
Step-by-step explanation:
Let us know the meaning of given words.
Logistic growth occurs when population reaches carrying capacity of its environment. It does not surpass carrying capacity.
When population surpasses carrying capacity of its environment then a crash or a die-off happens, which causes a decline in population density. This crash or die off is known as collapse. The consequences of overshoot is known as collapse.
In population dynamics overshoot occurs when a population surpasses its carrying capacity. Overshoot is a temporary condition.
Therefore, from above explanation we can see that overshoot is the correct answer for the given phenomenon.