1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
11

Find the limit of the function algebraically x-->9 x^2-81/x-9

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0
\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{x-9}}\implies x+9
\\\\\\
\lim\limits_{x\to 9}~x+9\implies 9+9\implies 18
You might be interested in
How many hours is 6:30am to 1:50pm
horrorfan [7]
7 Hours & 20 Minutes
8 0
3 years ago
Read 2 more answers
There are 104 students in fourth grade at Allison’s school.One day, 15 fourth graders were absent. How many fourth graders were
stich3 [128]

Answer: 89 students remained at school that day.

Step-by-step explanation: If there are 104 students, and 15 are absent, you subtract, therefore, the answer is 89.

3 0
3 years ago
Read 2 more answers
Solve photo question. Mathematics. Please. Easy one. And last one.
Elan Coil [88]
A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?

Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10

n + d = 53
0.05n + 0.10d = 4.40

n = 53 - d
0.05(53 - d) + 0.10d = 4.40  
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35

n = 53 - d
n = 53 - 35
n = 18 

There are 18 nickels and 35 dimes.

0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40
4 0
3 years ago
Read 2 more answers
Simplify 4/7 + 5/6 whoever possible
Pani-rosa [81]

Hey there!

4/7 + 5/6

≈ 24/42 + 35/42

≈ 24 + 36/ 42 - 0

≈ 59/42

≈ 1 17/42



Therefore, your answer is:

59/42 or 1 17/42

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

5 0
2 years ago
Use this rule to fill in the table.<br> Rule: Subtract 6 from the input to get the output.
uranmaximum [27]

Answer:

1= 1

2=11

3=7

Step-by-step explanation:

subtract 6 from the input so

7-6=1

11-6=5 so input 11

13-6=7

7 0
3 years ago
Read 2 more answers
Other questions:
  • The profits of life insurance companies A and B are normally distributed with the same mean. The variance of company B's profit
    7·1 answer
  • What is the solution to this equation 3x + 17 + 5)=7x + 10
    11·1 answer
  • How do you write 282% as a decimal
    5·2 answers
  • What is the Inverse function of f(x)= x^2 - 49
    5·2 answers
  • The product of twice a number and four. *
    6·1 answer
  • What is the area of a rectangle with side lengths of 5 12 foot and 2 3 foot
    7·1 answer
  • Can someone please prove that the expression (x-y)+(y-z)+(z-x) is equivalent to 0
    5·1 answer
  • You spend $31 on hibachi and find the service to be great. You decide to tip
    13·2 answers
  • HELP HURRY I WILL GIVE BRAINLIEST <br> Is 1.304 rational or irrational?
    11·2 answers
  • Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hou
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!