The best example of discontinuity is a graph of a function with a "hole" or "jump" in it, where the value of the function suddenly changes without any gradual change.
Discontinuity occurs when a graph of a function has an abrupt change, either in the form of a "hole" or "jump" in it. In a graph of a continuous function, the values gradually change in a smooth manner. However, with a graph of a discontinuous function, the function suddenly changes without any gradual transition. This sudden change is often caused by a discontinuity in the domain or range of the function. For example, a discontinuity may occur where a function is undefined or has an undefined limit. Graphically, this is usually illustrated as a gap or jump in the graph of the function. This type of discontinuity is known as a removable discontinuity, since it can be removed by redefining the function at the point of discontinuity. Other types of discontinuity include infinite discontinuity, which occurs when the graph of a function approaches either positive or negative infinity, and jump discontinuity, which occurs when the graph of a function jumps from one value to another without any transition.
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\large f\left(x\right)=2\left(x+5\right)^2-7
Which word could you use to describe the author's purpose in an argument?
Convince
Describe
Entertain
Inform
Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.
HELPPP
Answer:
Step-by-step explanation:
Lin’s method
- multiply both x and 2 by 7
7x+14 = 91
- add -14 at both members
7x+14-14 = 91-14
7x = 77
- divide the two members by 7
x = 11
Noah’s method
- divide the two members by 7
x+2 = 13
- add -2 at both members
x+2-2 = 13-2
x = 11
Answer:
The solution is x=11
Step-by-step explanation:
The original equation is
7(x+2)=91
Lin uses the distributive property, which states that
a (x+y) = ax + ay
By applying the property to this case,
7(x+2)=91
7x+14=91
Then we subtract 14 on both sides:
7x+14 - 14 = 91-14
7x=77
Finally, we divide by 7 on both sides:
7x÷7 = 77÷7
x=11
Noah starts by dividing each side by 7, so he gets:
7(x+2)÷7 = 91÷7
x+2= 13
Then he can subtract +2 from both sides:
x+2-2 =13 - 2
x=11
So, they get the same result. The similarity between the two methods is that they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.
what’s the equation of a line?
Answer:
1. y= 3x -10
2. y= -5x + 7
3. y= x -9
4. y= 2/3x- 6
5 y= -x + 2 1/2
HELP!!!!!!!! Question 1 (1 point)
What is the value of w to the nearest degree?
15
21
v
65
25
Ob
35
40
d
45
Answer: nearest degree is 40
Step-by-step explanation:
Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?
The empty shelf can be filled in 120 ways
The total number of books is
[tex]n = 10[/tex]
The number of books to move is:
[tex]r = 3[/tex]
To fill the empty shelf with three books, we make use of the following combination formula
[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]
Evaluate the expression
[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]
Expand
[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]
Cancel out the common factors
[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]
Evaluate the products
[tex]^{10}C_3 = \frac{720}{6}[/tex]
Divide
[tex]^{10}C_3 = 120[/tex]
Hence, the empty shelf can be filled in 120 ways
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PLEASE HELP!!!! I’ll mark brainliest
Answer:
10
Step-by-step explanation:
h= -4
k= -3
plug in h and k
[tex]\frac{(-4*-3)-4}{2}+6[/tex]
[tex]\frac{(12)-4}{2} +6[/tex]
[tex]\frac{8}{2} +6[/tex]
4 + 6= 10
A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest
Answer:
A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.
Step-by-step explanation:
HELP
Can some one help me with these 4 problems, I need to find the area, and con you pls explain how you got the answer so I can understand and practice.
Answer:
1. 380.13
2. 254.47
3. 254.47
4. 153.94
Step-by-step explanation:
Since its a hassle to explain how to solve all 4 problems I'll explain how to solve one of them
For example #1
To solve this:
Use formula A=πr2
Input the radius into the equation
A=π·11²
Multiply all the values
A= 380.13
16.BONUS:
A lamp produced a shadow of a man standing in the middle of a stage.
21° 19°
25 meters
How long is the shadow?
;
Answer: 11.38
Step-by-step explanation:
I just did this math nation question and that’s what they said the answer was
The solution is, Length of the shadow = 11.4 m.
What are trigonometric relations?Trigonometry can be stated as the study of the relationships between the angles and the lengths of the sides of triangles.
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
Given the graph:
The length of the shadow = y - x.
• To find x:
tan 21 = x/25
so, we get,
x = 25 * tan 21
=9.6m
• To find y:
tan 40 = y/25
so, we get,
y = 25* tan40
= 21m
Length of the shadow:
length = 21 - 9.6 m
= 11.4m
so, we get,
Length of the shadow = 11.4 m
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Please help me it’s due soon!!
Answer:
12√2
Step-by-step explanation:
It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.
Also, don't any links you see on this site, they are hackers
Practice for Triangle Ratios (Sides) Please Help!!
Answer:
hi
Step-by-step explanation:
i think 15 or 8
hope it helps
Dont scam me pplzzzzz
Answer:
Step-by-step explanation:
If 2p + 6a = $14
and 3p + 9a = $21
then the following would also be true:
1p + 3a = $7
If p = pear and a = apple, how much would each cost? The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.
For example, 1p + 3a*2 = $7
p = $1/each
a = $2/each or $6 total
I hope this helps you out.
Answer:
the unit for pears and apples are : 35
Step-by-step explanation:
14 + 21 = 35
or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho
in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?
Hey there!
The ratio 6:18 describes Joe's fish tank, certainly. But how?
Note that this ratio can be written as 6 to 18, 6/18, and 6 out of 18.
This ratio can show this: For every 6 goldfish in Joe's tank, there are 12 snails.
Great question!
Hope I helped, please feel free to comment below should you have any questions/comments/concerns!
The correct option is C.
Given that,
in Joe's fish tank, there are 6 goldfish and 12 snails.Here 6:18 denotes that the number of goldfish to the total no of animals.
Here total no of animals could be
= 6 + 12
= 18
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11. Which could be the table of values that was used to graph the function of x shown below?
Answer:
D
Step-by-step explanation:
Here, we want to select the possible table of the given line
Let us look at the intercepts
On the x-axis, we have an intercept at x = 2
On the y-axis, we have an intercept at y = -4
This means that when y = 0, x = 2 and when x = 0, y = -4
Looking at the options, the table that supports this answer is the table of option D
The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph
Answer:
How many volunteers worked a total of 4 hours
Step-by-step explanation:
Its right i got a one hundred my test
Answer:
How many volunteers worked at a total of 4 hours?
Step-by-step explanation:
need some help rq....
Answer:
work will be explained in the explanation portion
1. x = 3
2. y = 5
3. x = 13
4. y = 2
5. c = 7
6. a = 34
7. unsure but -5/12
8. 16
Step-by-step explanation:
1. 11 - 8 = 3
2. 16 + 9 = 25 5 x 5 = 25
3. 9 + 4 = 13
4. 10 - 4 = 6 3 x 2 = 6
5. 45 - 3 = 42 6 x 7 = 42
6. 23 + 11 = 34
7. 2/3 = 8/12 1/4 = 3/12 8/12 - 3/12 = 5/12
8. 14 divided by 7/8 = 16 (use keep change flip)
HOPE THIS HELPS!! <33
Answer:
1.x=3
2.y=5
3.x=13
4.y=2
5.c=7
6.a=34
7.y=-5/12
8.w=16
Step-by-step explanation:
x+8=11
x=11-8
x=3
5y-9=16
5y=16+9
5y=25
y=25/5
y=5
x-4=9
x=9+4
x=13
3y+4=10
3y=10-4
3y=6
y=6/3
y=2
6c+3=45
6c=45-3
6c=42
c=42/6
c=7
11-a=-23
-a=-23-11
-a=-34
a=34
2/3+y=1/4
y=1/4-2/3
y=-5/12
7/8w=14
7w/8=14
7w=14×8
7w=112
w=112/7
w=16
Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?
Answer:
yes
Step-by-step explanation:
8² + 15² = 17²
64 + 225 = 289
289 = 289
which is greater ? | -5| or 4
Answer:
4
Step-by-step explanation:
Answer:
|-5|
Step-by-step explanation:
|-5| = 5
5 > 4
|-5| > 4
Solve for for n. 10(n+4) = 63
Answer:
n=23/10
Step-by-step explanation:
10(n+4)=63
n+4=63/10
n=63/10-4
n=23/10
decimal form: 2.3
Which expression is equivalent to -4(2k - 6) - 4k
Answer:
Factor and Simplfy
12k+24
Answer:
-12k+24
Step-by-step explanation:
-4(2k-6)-4k
do distributive property
-8k+24-4k
simplify
-12k+24
I think this is what the question is asking
The workers at Cameron's Flower Shop are putting 1,323 bamboo flowers into vases for a party. Each vase must hold exactly 8 bamboo flowers. What is the total number of flowers the workers can fill completely
Answer: 165
Step-by-step explanation:
Given
The shop has 1323 bamboo flowers
Each vase can hold exactly 8 bamboo flowers
no of the vase(n) filled with 8 flowers are
[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]
i.e. 165 is completely filled and 166th is partly filled
[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.
Solve 3x2−3x=0 by factoring.
Answer:
3x(x-1) = 0
x= 1
Step-by-step explanation:
is 3x2 supposed to mean 3x^2 i dont know
‼️ PLEASE HELPPPPP ‼️
What is the domain and range of the following quadratic function?
Answer:
thats a scam ^
dont click the link ir search
Help me with 8,9,10 please I really need help with this!!! Just real answers please
Answer:
The measure of side CD is 18cm
The measure of side BD is 15+15= 30cm
The perimeter of triangle CDE is 15+15+18 = 48cm
1 point Two sides of a triangle have side lengths of 22 inches and 34 inches. What is the range of possible lengths for the third side? *
Solve for x
x^2 + x - 6 = 0
Answer:
X = 2 and -3
Step-by-step explanation:
I hope this helps :)
The Thompson Family has a garden in their backyard. They take the produce each week to a local farmers market. Use the graph to answer question. What percent of the garden is tomatoes? Show work for full credit.
Answer: 20%
Step-by-step explanation:
The total # of plants is 30, so what you do is take the # of tomatoes over 30. (6/30) and then x/100 so the formula would be 6/30=x/100. Then you would cross multiply and solve! so your answer is 20%
I NEED HELP WITH MY MATH NOWWW PLSSS HELP ME
Answer:
no
Step-by-step explanation:
she still has to multiply by two because there are 2 each of the rectangles that she is calculating the area of. the correct formula would be 2(8*16+8*12+16*12)
Answer:
No.
Step-by-step explanation:
The surface area formula of a right rectangular prism is 2(wl * hl * hw). The height is 12, width is 8, and length is 16. (these sides don't matter, the area will always be 832.) Anyway, our dear Muna did all the steps right, except she has to multiply all that she did by 2. She forgot to do that part
A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base? please help
Answer:
a=5cm
Step-by-step explanation:
V=B*H
You will get base if you do this:
B=V:H
B=175:7
B=25
I'm not so good with English, side is probably a,so:
Formula for base: B=a²
Then a=√B
a=√25
a=5cm
I hope this helps.