Answers
Answer:
D. I, II, and III
Step-by-step explanation:
A discontinuous function is a function which is not continuous.
If f(x) is not continuous at x = a, then f(x) is said to be discontinuous at this point.
To prove whether a function is discontinuous, find where it is undefined.
A rational function is undefined when the denominator is equal to zero.
Therefore, to find the values that make a rational function undefined, set the denominator to zero and solve.
Function I
Denominator: x - 2
Set to zero: x - 2 = 0
Solve: x = 2
Therefore, this function is undefined when x = 2 and so the function is discontinuous.
Function II
Denominator: 4x²
Set to zero: 4x² = 0
Solve: x = 0
Therefore, this function is undefined when x = 0 and so the function is discontinuous.
Function III
Denominator: x² + 3x + 2
Set to zero: x² + 3x + 2 = 0
Solve:
⇒ x² + 3x + 2 = 0
⇒ x² + x + 2x + 2 = 0
⇒ x(x + 1) + 2(x + 1) = 0
⇒ (x + 2)(x + 1) = 0
⇒ x = -2, x = -1
Therefore, this function is undefined when x = -2 and x = -1, and so the function is discontinuous.
Therefore, all three given functions are discontinuous.
Related Questions
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y – 2 = -8
Answers
Answer:
[tex]y = x - 4[/tex]
Step-by-step explanation:
Given
[tex]2y - 2x = -8[/tex] -- correct expression
Required
Represent as slope intercept form
[tex]2y - 2x = -8[/tex]
Make 2y the subject
[tex]2y = 2x - 8[/tex]
Divide through by 2
[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]
[tex]y = x - 4[/tex]
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Answers
Add both distances together:
50 + 22 = 72 feet total distance.
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answers
Answer:
$595
Step-by-step explanation:
x to the third power =8/27
Answers
Answer:
2/3
Step-by-step explanation:
2/3
HELPPPP
the last part says select 3 options
Answers
Answer:
Last three options are correct answers.
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
Last 3 ones are correct.
Step-by-step explanation:
The first one isn't it, because there needs to be 3 y's.
The second one isn't it, because the numbers equal 112, which isn't equal to 1120.
So it says to select 3, which means that the last 3 ones are correct.
(sorry if I'm incorrect, I'm bad at these questions)
en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?
Answers
tfyhgbuhbj tctf ybubbimihbighv no
Step-by-step explanation:
tdcvyvj j ct ruv yo bb. v
1. 3/4 + 1/3 =
2. 1/6 + 2/3 =
3. 3/8 + 1/4 =
4. 1/3 + 2/5 =
5. 1/8 + 3/4 =
6. 2/5 + 7/10 =
7. 1/6 + 1/3 + 3/4 =
8. 1/10 + 3/10 + 3/5 =
9. 3/8 + 5/5 + 1/2 =
Solve
10. Lisa swam 3/8 of a mile in the morning and 5/16 of a mile in the afternoon. How far did she swim?
Answers
Answer:
1. 3/4 + 1/3 = 1 1/12
2. 1/6 + 2/3 = 5/6
3. 3/8 + 1/4 = 1/4
4. 1/3 + 2/5 = 11/15
5. 1/8 + 3/4 = 7/8
6. 2/5 + 7/10 = 1 1/10
7. 1/6 + 1/3 + 3/4 = 1
8. 1/10 + 3/10 + 3/5 = 1
9. 3/8 + 5/5 + 1/2 = 7/8
10. 11/16
Step-by-step explanation:
It is important to comparison shop when purchasing a car.
What does comparison shop mean?
-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle
Answers
Answer:
Compare price and quality
Step-by-step explanation:
I did this test
Answer:
option c
Step-by-step explanation:
comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
PLEASE IS MY LAST QUESTION
WILL GIVE BRAINLIEST
Answers
Answer:
A. 6
Step-by-step explanation:
The equation should equal 20 so first subtract 2 from 20 which is 18 then divide 18 by 3 which is 6, 6 is your answer.
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x+2=20[/tex]
[tex]\\ \sf\longmapsto 3x=20-2[/tex]
[tex]\\ \sf\longmapsto 3x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{3}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex?
combine like terms to create an equivalent expression
3.26d + 9.75d - 2.65
Answers
Answer:
13.01d - 2.65
Step-by-step explanation:
DON'T IGNORE THIS PART!!!
Hmmm... in order to be able to solve these type of expressions and more complex ones, we need to know what like terms are in the first place.
Well, the best definition of like terms is: Terms that have the same exact variables.
Let's see the terms that have the same exact variables! They are 3.26d and 9.75d.
By the way, before we continue--I would like to mention something extremely important: 3.26d and 9.75d are positive, whereas -2.65 is negative (you know, the negative sign appears right before it).
Now, let's add 3.26d and 9.75d. It equals 13.01d.
TIME TO COMBINE!!!
13.01d - 2.65
a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box
Answers
Answer:
18 ft^3
Step-by-step explanation:
The volume of a right rectangular prism is the area of the base multiplied by the height.
V = Ah
V = (5 5/8 ft^2) * (3 1/5 ft)
First, we convert the mixed numerals into fractions.
V = 45/8 ft^2 * 16/5 ft
Now we multiply the fractions.
V = (45 * 16)/(8 * 5) ft^3
Factor 45 into 5 * 9. Factor 16 into 2 * 8.
V = (5 * 9 * 2 * 8)/(8 * 5) ft^3
We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.
V = (9 * 2)/1 ft^3
V = 18 ft^3
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answers
18/90 movies are science fiction
18/90 x 100 = 20%
So it’s B :)
Answer:
It's B but read the other person's explanation it's better than mine would be
Step-by-step explanation:
Is borrowing money a
Delegated power
Reserved power
Concurrent power
Answers
Can someone help me? I know I'm doing something wrong but I'm not sure what.
This is an example: A $624 at 5% for 3 years
This is how I solved the problem:
(624)(.05)(3)
= 93.60
Answers
Answer:
Step-by-step explanation:
CI = 624 x 1.05 ^3 =722.358 for whole investment 722.36-624 =98.36 for interest only
or for interest only do 624 x .05^3 = 98.36
Standard interest is done like this
year 1 = 624 x 1.05 = 655.20
655.20-624 = 31.20
year 2 = 655.20 + 31.20 = 686.40
year 3 = 686.40 + 31.20 = 717.60
total interest = 717.60-624 = 93.60
So standard interest is the method you have done they may be asking for either compound interest which is the first one or asking for whole investment which means you need to also add 624 at end for Standard interest.
if you need CI interest do the top one.
4x 4/4 is equal to 1 , since 4/4 is equal to 1
Answers
Answer:
False, it is equal to 4.
Step-by-step explanation:
The current question asks that 4 x 4/4 is equal to 1, since 4/4 is equal to 1, but this stems from a gross misinterpretation of mathematics.
Although it is true that 4/4 is equal to one, since the 4 parts that make up an integer are completed, when multiplying the number 1 4 times this mathematical operation will result in 4, since 4 x 1 = 4.
What is the exact circumference of the circle?
27 cm
47 cm
8 cm
167 cm
Answers
Answer:
27
Step-by-step explanation:
Calculate the slope of the graph using (4,8) and (1, 10) using the Slope Formula. Write your answer in simplest form
Answers
Answer:
y=x+11
the slope is 2/2 or 1/1, which equals 1. Your y-int is 11.
5 for $4.45 or 8 for $7.28
Answers
Answer:
5 for $4.45
Step-by-step explanation:
The measure of the missing angle is
degrees.
Answers
Step-by-step explanation:
The exterior angles of a triangle is equal to the sum of two non - adjacent interior angles. Now , Set up an equation and solve for x.
[tex] \large{ \tt{x \degree = 63 \degree + 86 \degree}}[/tex]
[tex] \large{ \tt{x \degree = \boxed{ \tt{149 \degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] \underbrace{ \text{Carry \: On \: Learning}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Use distributive property for 3.2= 4/5(b - 5)
Answers
13x-5 Ugh help please
Answers
[tex] \huge\bf\red{answer}[/tex]
The expression is not factorable with rational numbers.Describe the slope and y-intercept of the line y = -x + 2.
Answers
Answer:
slope = -1
y intercept= 2
Step-by-step explanation:
compare the equation with the standard equation Y= MX + C
where M is the slope
to find Y intercept substitute the value of x as 0
If m∠D=104°, what is m∠D'?
Answers
Answer:
m<D' = 180⁰-104⁰
m<D' = 76⁰
A grocery store manager ordered 243 cases of Cheez its. Each case contains 15 boxes and each box is made up 8 packs of Cheezb its. How many packs of Cheez its did the grocery store manager order?
Answers
Answer:
29160
Step-by-step explanation:
243*15*8
equations with variables on both sides that makes the answer x=9
Answers
Answer:
x = 12
Step-by-step explanation:
Answer:
2x=18
Step-by-step explanation:
Prices of plants: $10, $8, $20, $25, $14, $98, $11, $9, $8, $6
Which measure of center best represent the data?
A.
mean
B.
median
C.
mode
D.
range
Answers
wouldnt it be nice to have a anwers
(A)
Answer:
A
Step-by-step explanation:
Mean gives you the average, so it would give you the average of the price . Sorry if this is wrong .
I need to solve -15 (1/5w -1/3) problem for math class
Answers
-3w-5
hope that helps^^
solve and receive brain list
Answers
Answer:
it is called COLD DRANK
Step-by-step explanation:
REAPEAT AFTER ME COLD DRANK OK C-O-L-D D-R-A-N-K
Answer:
Step-by-step explanation:
6x + 26 = 8x - 12 ( 1 - 3x )
6x + 26 = 8x - 12 + 36x
Doing like terms on one side,
6x -8x -36x = -12 -26
-38x = -38
x = -38 / -38
x = 1
Hope this helps you. Do vote my answer.
Thanks
Solve for x in the following equation.
6x=72
X=?
Answers
6 x 12 = 72
Therefore x = 12