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
16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)
Dvinal [7]
The answer would be -3x^2+3 x + 36
8 0
2 years ago
Which of the following is the quotient of the rational expression (x-2/x+3) divided by (2/x)
zloy xaker [14]

Answer:

(x²-2x)/(2x+6)

Step-by-step explanation:

When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.

6 0
3 years ago
Read 2 more answers
The price of a sandwich is $1.50 more than the price of a smoothie, which is d dollars. What does the expression d + 1.5 represe
tatuchka [14]
The price of a sandwich
6 0
3 years ago
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles
Elden [556K]
First the equation needs to be set to "y" to find the total amount of miles traveled:
y=
Then you know he has already gone 3.5, this is a constant and can be added to the graph immediately
y=3.5
Then you know every two hours he can cover 100 miles, which means 50 miles per hour or 50 per x, so add 50x to 3.5 to show that he will go 3.5 miles plus 50 miles for every hour he is traveling.
y=3.5+50x
7 0
3 years ago
Please help 7 n = 7 <br> n= ____
zmey [24]
1
7 x 1 = 7

hope this helps!
6 0
3 years ago
Other questions:
  • Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the buildi
    8·1 answer
  • Can you solve all of this please
    8·1 answer
  • I need help with this question please
    8·1 answer
  • Answer this question:<br><br> 7-2a+b-6a+7b+9
    6·1 answer
  • What is 9 decimeters equal to _ or_ meters
    10·1 answer
  • 350/100 as a decimal and a percentage
    10·1 answer
  • 30g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?
    7·2 answers
  • NEED IT NOW
    8·2 answers
  • Which fraction is equal to 7
    14·1 answer
  • Solve for the value of w.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!