discontinuity point of a function is a point at which the function is not continuous. There are three types of discontinuities: removable, jump, and essential.
A removable discontinuity is a point at which the function is not defined, but the limit of the function as x approaches the discontinuity point from both sides is equal to a finite value.
A jump discontinuity is a point at which the function is defined, but the limit of the function as x approaches the discontinuity point from both sides is not equal.
An essential discontinuity is a point at which the function is not defined and the limit of the function as x approaches the discontinuity point from both sides is infinite or does not exist.
To find the discontinuity points of a function, you can:
Plot the function on a graph and look for any breaks or gaps in the graph.
Use the algebraic definition of continuity to determine whether the function is continuous at a given point.
Use the limit definition of continuity to determine whether the function is continuous at a given point.
Use a computer algebra system (CAS) to find the discontinuity points of a function.
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A point where the function is not defined and the limit of the function as x approaches the discontinuity point from both sides is infinite or does not exist is referred to as an important discontinuity.
A function's discontinuity points can be located by:
Plot the function on a graph and check the graph for any splits or gaps.
To ascertain whether the function is continuous at a specific point, use the algebraic notion of continuity.
(5g2+6g-10)
-(6b2+2g+9)
Answer:
look at given picture
Step-by-step explanation:
there is complete soln
Mhanifa or Anyone Answer this PLZZZZZZ
Answer:
1 ABCD = 3 PQRS
Step-by-step explanation:
Given:
ABCD = PQRS
AD = PS
DC = SR
AD = PS
6 : 18
1 : 3
DC = SR
9 : 27
1 : 3
So,
1 ABCD = 3 PQRS
The number of boys exceeded the number of girls by seven. There were 29 boys and girls. How many of each were there?
Answer:
Girls: 11
Boys: 18
Step-by-step explanation:
x: number of girls
x+x+7=29
2x=22
x=11
number of guys:
x+7=11+7=18
At the talent show, dancers outnumber singers by a ratio of 13 to 7 If there are 52 dancers at the talent show, how many singers are at the talent show?
Answer:32
Step-by-step explanation: 52-20
In a circle with radius 2, an angle measuring 3pi/4 radians intercepts an arc. Find the
length of the arc in simplest form.
Answer:
2
Step-by-step explanation:
2 plus 2 equals 4 so thats you answer god bless you
Help fast pls I need to pass
Answer:
help with what? you can tell me and I would be glad to answer.
Step-by-step explanation:
Solve for x
(3x-15) & (2x+7)
Answer:
for the first one X=-5
for the second one it's a fraction so look at the picture
Can someone help me What is 20% of 56?
Can somebody who knows how to do this plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLEST WHOEVER ANSWERS FIRST :DDDD
Step-by-step explanation:
angle b = 25° ( vertically opposite)
angle a = 155° ( linear pair)
angle c = 155 ( vertically opposite)
angle a and c are vertically opposite angles
Convert the units of capacity.
10 pt = ___ ___ qt
Answer:
6.00475
Step-by-step explanation:
How do you find cubic root?? Theres not a specific question, I just need to know.
Answer and Step-by-step explanation:
Picture this:
There is a base number, and when this number gets multiplied by itself 3 times, we say the number got cubed.
To find the cubic root, we find the number that had to multiply itself 3 times that got the bigger number.
Example:
Let's say we are given the number 27.
If we take the cube root of 27, we get 3.
[tex]\sqrt[3]{27}[/tex] = 3
This is because 3 times itself 3 times is 27.
3 × 3 × 3 = 27
9 × 3 = 27
27 = 27
Another Example:
We are given the number 970299.
If we put this into a calculator and press the button to do this: [tex]\sqrt[3]{x}[/tex], then, in some calculators, it would look like this: [tex]\sqrt[3]{972099}[/tex]
We we click to solve, we get that base number, or the cubed root, to be 99.
That means 99 was multiplied by itself 3 times to get 972099.
#teamtrees #PAW (Plant And Water)
Find the value of X. 108° 40°
Answer:
The answer would be x=20
Step-by-step explanation:
Z=20
Y=54
W=54
Answer would be X=20 degrees.
The value of x is 20 degree.
What is a Chord ?A chord is the line that has its end point on the circumference of the circle but do not pass through the center of the circle.
It is given in the figure to find the value of x
The two arcs have measure 108 and 40 degree
From the Property of the angle subtended by the arc at the center and angle subtended by it any other point on the circle:
Angle x = 1/2 ( angle subtended by the arc at the center)
Angle x = (1/2)*40
x = 20 degree
Therefore the value of x is 20 degree.
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The answers are
A. The first wrestler
B.the second wrestler
C.they weighed the same
A fish tank at a hatchery contains 25 fish. The histogram below shows the number of fish organized by weight rounded to the nearest whole ounce. One fish is taken from the tank at random. What is the probability the fish weighs at least 12 ounces?
Answer:1/5
Step-by-step explanation:
The probability the fish weighs at least 12 ounces is 1/5. Probability has several uses in games.
What is probability?The chances of an event occurring are defined by probability. Probability has many uses in games, in business to create probability-based forecasts.
The given data in the problem is;
A fish tank at a hatchery contains = 25 fish
Fish weighs at least 12 ounces=5
probability the fish weighs at least 12 ounces=?
The probability the fish weighs at least 12 ounces is ;
[tex]\rm P = \frac{Favourable \ event }{Total\ event} \\\\ \rm P = \frac{5}{25} \\\\ P=\frac{1}{5}[/tex]
The probability the fish weighs at least 12 ounces Will be 1/5.
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1/2 x 12 divided 2 - 2 +11
Please leave a explanation
Answer:
12
Step-by-step explanation:
1/2*12=6
6/2=3
11+2=13
13-3=10
10+2=12
P.E.M.D.A.S
Hope this helps!
Answer:
12
Step-by-step explanation:
Multiply 1/2 by 12 and get 6, divide 6 by 2 and get 3, 3-2 is 1, then add 1 and 11 to get the answer 12
which equation represents the tape diagram?
Answer:
25= 10+w
Step-by-step explanation:
Ten and w add up to 25 so yeah
Answer:
A and C
Step-by-step explanation:
25-w=10
and
25-10=w
I dont know why its both but it is
How do I calculate the volume of this prism?
What is the volume of the right rectangular prism with a length of 2 mm a width of 4 mm and a height of 8 mm
Answer:
2 x 4 x 8 = 64
Step-by-step explanation:
Multiply all given lengths when finding the volume of a rectangular prism.
pls help i’m struggling what set of points are linear
please answer :) I have 7 I need somebody to answer 8 it is a 2 part question!
Answer:
question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.
question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.
Step-by-step explanation:
Which of the following is a decreasing function?
y = 3(2)^x
y=2(1)^x
y=-3(1)^x
I don’t know how to do that
Answer:
16
Step-by-step explanation:
Divide 64 by 8 to get 8. this is 1/8 of the books.
3/8 were non fiction, or 24
1/4 (2/8) were picture books, or 16
5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.
3/8 were chapter books, or 24.
add the amount of picture books and chapter books since they are the fictional texts.
16+24=40
subtract the amount of non fictional books from the amount of fictional books to get the sum.
40-24=16
What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?
Answer:
24
Step-by-step explanation:
Multiples of 16 are [tex]16,32,48,64,80,...[/tex]
Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.
[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]
Here, 24 is a multiple of 12.
So,
24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.
It takes Michael 4 minutes to fill 7 buckets with water. Calculate the unit rate of buckets per minute.
please help!
AABC ~ AQRS
Find the missing side length, n.
5
R
12.5
n
Q
10
B
5
2
A
4
C
n = [?]
Using the property of similar triangles, we found that the value of n is 5.
This is the length of the side RQ.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.
The given triangles are both right triangles.
So they can be considered similar triangles.
One of the properties of similar triangles is that the ratio of corresponding sides is always equal.
Then we can write for the given triangles,
BA/RQ = AC/QS
2/n = 4/10
n = 2 * 10 / 4 = 5
Therefore using the property of similar triangles, we found that the value of n is 5.
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The point C(-3, -1) is rotated 180 degrees clockwise about the origin. What are the coordinates of the resulting point, C
Answer:
( 3, 1 )
Step-by-step explanation:
I NEED HELP ASAP!!!
Solve for x and AB. Please just type the answer. If it is not a whole number, please put it in decimal form.
Answer:
l don't understand please explain ppppppppp
what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%
Answer:
about $84.47
Step-by-step explanation:
6.5%=0.65
129.95x0.65=84.4675
=84.47
Use the diagram below for 13-16 Zol Find mC i MAD = 35 (6.12A-S) A 45° B. 55 C 225 D. 125?
Write 6431 to the nearest thousand.
the answer is 6430
Answer:
the nearest thousand would be 6000
Step-by-step explanation:
above 6500 would have been 7000
Answer:
6000
Step-by-step explanation: