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
Anna71 [15]
3 years ago
8

Hello there!

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
Answers:
The limit as x approaches 3 does not exist (DNE)

The function value f(3) is equal to 5, so f(3) = 5

In short, the answer is choice B

=============================================

Explanations:

Let's start with computing the limit. First locate 3 on the x axis. Then move slightly to the left of 3, say to x = 2. Draw a vertical line upward until you hit the function curve. Mark the point on the function curve and then drag that point closer and closer to x = 3. Notice how y is getting loser to y = 3.

Then do the same for the other side of x = 3. Start at x = 4 and move to the left to get to x = 3. Get closer and closer, and you'll notice that y is getting closer to y = 5. These two differing y values tell us that the limit as x approaches 3 does not exist. 

Alternatively: The left hand limit (LHL) and right hand limit (RHL) are different, so the overall limit does not exist. 

---------------------

The function value f(3) is simply 5 because we draw a vertical line through x = 3 and it intersects the function at (3,5). Take note how I'm focusing on the closed circle and not the open circle. The open circle is a gap or hole in the graph.

Note: because the limit at x = 3 and the function value at x = 3 differ, this means we have a discontinuity. 
You might be interested in
Can someone help pls? its a timed quiz lol<br> ty if you do help :)
xenn [34]

Answer:

336

Step-by-step explanation:

not completely sure but I'm pretty sure its 336

4 0
2 years ago
Read 2 more answers
Sean bought 8 slurpees at $1.50 each and 6 popsicles. He gave the cashier $25.00 and received $4.00 change. How much did each Po
Lina20 [59]

Answer:

1.50

Step-by-step explanation:

8 x 1.50=12

25-12=13

13-4=9

9/6=1.5

8 0
2 years ago
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
Svetach [21]
The answer is Line. Hope this helps :D
7 0
2 years ago
Read 2 more answers
Mr. Castillo earns 270,920.64 a year. What is his monthly salary?
lozanna [386]

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

8 0
3 years ago
Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the
Dmitriy789 [7]

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

5 0
3 years ago
Other questions:
  • A game of chance involves rolling a 14-sided die once. If a number from 1 to 3 comes up, you win 2 dollars. If the number 4 or 5
    8·1 answer
  • 1.5d+3=-4.5 what does D equal
    5·2 answers
  • Arithmetic Question.
    10·1 answer
  • Simplify. Remove all perfect squares from inside the square root. 75
    12·2 answers
  • What fractions are equal to 4/12
    9·2 answers
  • Please help me now plz
    11·1 answer
  • The sum of two numbers is 100. Five times the smaller number is eight more than the larger
    10·1 answer
  • Donna read 18 out of 30 pages in her book. what percent of the book did she read?
    5·2 answers
  • I need help to find the missing side of this right triangle
    5·1 answer
  • If m=-4, n=1, p=2, q= -6, r=5, and t=-2 what's the expression of |-n-2mp|​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!