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Mekhanik [1.2K]
4 years ago
11

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

Mathematics
1 answer:
Hitman42 [59]4 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
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Please help with this question! I don't understand!!
marissa [1.9K]

the answer is A 2.3

in order to solve this problem you have to devide 9 by 4 and you get 2.25 then round 2.25 to 2.3 and that is your answer

hope this helps

~~apple

7 0
4 years ago
Four friends were born in consecutive years. The sum of their ages is 94. What is the age of the oldest friend?
Savatey [412]
Hello,

We don't need algebra to solve this.

I suppose the ages are 1,2,3,4
Their sum is 1+2+3+4=10.
To obtain 94 we must add 94-10=84 for 4 persons =>84/4=21 to each

Ages are
1+21=22
2+21=23
3+21=24
4+21=25

But if really want an algebric resolution:

Let's x the age of the youngest
x+1,x+2,x+3 the others.

x+(x+1)+(x+2)+(x+3)=94
==>4x+6=94
==>4x=88
==>x=22
Ages are 22,23,24,25.

The oldest friend is 25 years old.

8 0
3 years ago
Read 2 more answers
Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h
coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0
3 years ago
A diver dives from the 3 m board at a swimming pool. Her height, y, in metres, above the water in terms of her horizontal distan
koban [17]
The maximum height of the diver would be the y value of the vertex of the graph. The vertex of the graph is (1,4). The maximum height of the diver is 4 meters.
8 0
3 years ago
GUYS I NEED HELP ASAP!!!!<br><br> WHAT IS 1+1 I WILL GIVE BRAINLIEST
emmainna [20.7K]

Answer:

The answer is 2

Step-by-step explanation:

Please Brainliest

7 0
4 years ago
Read 2 more answers
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