Which of the following rational functions is graphed below?

Which Of The Following Rational Functions Is Graphed Below?

Answers

Answer 1

Answer:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

Step-by-step explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]


Related Questions

the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares

Answers

Answer:

2025 is the answer

Step-by-step explanation:

Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x

Answers

Answer:

3x²+5x

Step-by-step explanation:

Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth

Answers

3x=4

To get x by itself, you need to divide 3 on both sides.

Your answer in fraction form:4/3
Your answer in decimal form:1.3

Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf

Answers

Answer:

Step-by-step explanation:

10 -2.95 = 7.05

the scarf cost $ 7.05

Answer:

4456646

Step-by-step explanation:

its that bc we add

The label on the can of soup covers
about 354.2 square centimeters. What is the
height of the can
Radius : 4.7 cm
HELPP

Answers

Answer:

h = 12 cm

Step-by-step explanation:

Given that,

The area of the can of a soup, A = 354.2 cm²

Radius of the can, r = 4.7 cm

We need to find the height of the can. The formula for the volume of a cylinder is given by :

[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]

So, the height of the can is equal to 12 cm.

Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles: centering, concentration, control, precision, flow, and breathing. An article reported on an experiment involving 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.3.
a. Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of .01 (the cited article reported statistical significance at this α, and a sample mean difference of 2.1 also suggests practical significance).
b. Does it appear that true average pain level for the control condition exceeds that for the treatment condition by more than 1? Carry out a test of appropriate hypotheses.

Answers

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean

please help me! yah thats all i just need help

Answers

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?

Answers

9514 1404 393

Answer:

  -49/4

Step-by-step explanation:

The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.

The product being sought is (7/2)(-7/2) = -49/4.

Answer: -49/4

Step-by-step explanation:

First set up two equations; a primary and a secondary equation.

Primary: P=xy

Secondary: x=7+y

Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.



Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2

Finally substitute y value into the secondary equation and solve for x:

x = 7 - 7/2

= 14/2 - 7/2

= 7/2



Multiply the two values together: -7/2 * 7/2 = -49/4

7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?

Answers

Answer:

8600 litre×235 will be there in the tanks


What is the area of the green triangle?

Answers

Answer:

The answer is 65

Step-by-step explanation:

Formula for triangle: b x h x 1/2

base= 13cm  height= 10cm

13 x 10 x 1/2 =65

The area of the green triangle is 65.

Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1

Answers

Answer: (a)

Step-by-step explanation:

Given

angle is [tex]270^{\circ}[/tex]

Sine and cosine at this angle is

[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]

Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]

[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]

The same thing is depicted by option (a)

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ5

What is 3÷3/4? (Btw you guys are so helpfil literally tysm

Answers

Answer:

Answer is 0.25.

Step-by-step explanation:

3/3=1

1/4=0.25

Have a nice day!

and can I maybe have brainliest? Thanks!

WOW This is my 150th answer!!!

Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!

Answers

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

what its 1010 + 800 pls help​

Answers

Answer:

1,810 hope this helps ;)

Answer:

1810

Step-by-step explanation:

lol, did I get trolled?

Natasha was thinking of a number. Natasha doubles it and adds 6.5 to get an answer of 79.4. Form an equation with
x
from the information.

Answers

Answer:

Let the correct number be x.

therefore,

x - 6.5 = 79.4

Nathaniel created the circle graph below
to show the percentage of his free time he
will engage in different activities on Sunday.
Free Time
Drawing Reading
25%
Exercising
30%
Watching
Television
25%
If Nathaniel has 9 hours of free time on
Sunday, which shows the amount of time
he will spend reading?
A 1 hour 8 minutes
B 1 hour 35 minutes
C 1 hour 21 minutes
D 1 hour 48 minutes

Answers

There’s this guy named 56;(7|%#Nathaniel I used tho know but he was a predator

Answer:

The real answer is 1 hour and 8 minutes

Step-by-step explanation:

You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:

A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?

Answers

21.25 because $25x85%=21.25

HELP HELP HELP IM BEGGIN YU

Answers

Answer:

Option C

Step-by-step explanation:

If two triangles are congruent then their corresponding sides and angles are congruent.

[tex]---------------[/tex]

hope it helps you..

have a great day!!

Answer:

option c is correct answer of this question

hope it helps

Please help me ASAP please

Answers

Answer:

Equation: 45 - 21 = s

The second answer is 24.

You can check by adding 24 + 21 which is 45.

If y=qx5 and if q=10 then what is y?

Answers


y=q*5

So the answer is:

y= 10*5=50

If 12 pens are packed equally into 2 boxes, how many pens will each box hold?



Answers

Answer:

6

Step-by-step explanation:

12/2=6

Hope it helps......

Answer is 6.

12/2=6

6+6=12

Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=

Answers

Answer:

5+12x-3 = 14

12x = 14 -5+3

12x = 12

x = 1

Answer:

X=1. I did mental math. I am sure.

Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.

Write an equation to represent the situation.

What is Noah's fundraising goal? Show or explain how you found it.

Answers

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

100 points if you tell me what is range

Answers

Answer:

Difference in large and small numbers, higher or smaller value.

Answer:

The range is the difference between the largest and smallest numbers. If you are talking in math.

Example 1: 1, 2, 5, 6, 7

so the smallest number is 1 and the largest number is 7 so 7-1=6

The range is 6.

Example 2: 16, 19, 10, 17, 42

now we have a data set that is not in order. First step is to order them:

10, 16, 17, 19, 42

Next take the smallest and largest number and subtract them: 42-10=32

The range is 32.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

What can you conclude about alternate interior angles?

Plz be specific..Will give BRAINLIEST!!!

Answers

Answer:

We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Please mark as brainliest.

What is the factored form of x^2-x-20​

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)

I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I will be extremely thankful!

Answers

Step-by-step explanation:

Just post a pic of the page

The triangle and square have equal perimeters. What is the perimeter of the triangle?

A. 18
B. 4
C. 12
D. 32
E. 16
F. 24

Answers

Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

P = 9x + 7

x=1, substitute into equation:

P = 9(1) + 7

P = 16

Hope this helped!

Find the missing values

Answers

Answer Is 5/3 20/12 3 1/3 / 2 8 1/3 / 5

Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?

Answers

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

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