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
(x,y)
x=input
y=output
example
we see
g=(1,2)
theefor
g(1)=2
a.
f(4)=1
g(1)=2
g(f(4))=2
b.
g(-2)=4
f(4)=1
f(g(-2))=1
c.
f(3)=5
g(5)=5
f(5)=0
f(g(f(3)))=0
Answer:
Membership selection a town council has members Democrats and Republicans if the president and vice president are selected at random what is the probability that they are both Democrats
There is a 26.9% chance, if the president and vice-president are selected at random, that they are both Democrats. There is a 12.2% chance, if a 3-person committee is selected at random, that Republicans make up the majority.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent number of small candles and y represent number of large candles.
We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:
We are also told that small candles cost $3.50, so cost of x small candles would be 
.
Since large candles cost $5.00, so cost of y large candles would be 
.
We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:
Therefore, our required system of inequalities would be:
