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
We have to calculate the probability of picking a 4 and then a 5 without replacement.
We can express this as the product of the probabilities of two events:
• The probability of picking a 4
,
• The probability of picking a 5, given that a 4 has been retired from the deck.
We have one card in the deck out of fouor cards that is a "4".
Then, the probability of picking a "4" will be:
The probability of picking a "5" will be now equal to one card (the number of 5's in the deck) divided by the number of remaining cards (3 cards):
We then calculate the probabilities of this two events happening in sequence as:
Answer: 1/12
Answer:
8 miles above sea level.
Step-by-step explanation:
A loss of 8 pounds
= -8 pounds
8 miles from sea level
= Talking about distance.
18° below normal
= -8 degrees
Giving away $8
= -8 dollars
Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Answer:
61
Step-by-step explanation:
When Sam is 11 Ross is 22 which is +11 of Sam's age
So when Ross is 50 Sam will be 50+11= 61
