Determine the vertical asymptotes and holes for the graph of the equation below.

y=[tex]\frac{x+7}{x^2+8x+7}[/tex]

Please show all steps to solve!

Determine The Vertical Asymptotes And Holes For The Graph Of The Equation Below. Y=[tex]\frac{x+7}{x^2+8x+7}[/tex]Please

Answers

Answer 1

Since x ² + 8x + 7 = (x + 7) (x + 1), we have for x ≠ -7,

y = (x + 7) / (x ² + 8x + 7) = 1/(x + 1)

so y is undefined at x = -1, indicating a vertical asymptote, and there is a hole/removable discontinuity at x = -7. Then the answer is D.


Related Questions

Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?

Answers

Answer: C 3a^4

Step-by-step explanation:

I just took the test

The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.

What is vertical method to multiply?

The vertical method to multiply is one of the simple method to perform multiplication operation.

In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.

The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.

               [tex]4a^3+3a^2-2a+1[/tex]

                     X   [tex]a^2-2a+3[/tex]

______________________

+              [tex]12a^2+9a^3-6a+3[/tex]

   [tex]-8a^4-6a^3+4a^2-2a[/tex]

[tex]4a^5+3a^4-2a^3+a^2[/tex]

_______________________

[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]

This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,

[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]

Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.

Learn more about the vertical method to multiply here:

https://brainly.com/question/12709314

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-1/3d + 4/5 = 3/4
solve for the variable.

Answers

Answer:  x equals 12

Step-by-step explanation:

hope this helped

-1/3d+4/5=3/4
-1/3d=3/4-4/5
-1/3d=15/20-16/2
-1/3d= -1/20 multiply everything by -1
1/3d=1/20
d=1/20 over 1/3
d=3/20

Find the additive inverse of 0.25. Write your answer as a decimal to the nearest hundredth

Answers

Answer:

-0.25

Simply change the sign and you will get the result.

Hope this helps you. Do mark me as brainliest.

What’s 10-8+434+87+64

Answers

it is 587
i trust my calculator
587 is the answer because of Order of operations addition from left to right

given point A (3,-4) and point B (8,6) on directed line segment AB

Answers

Answer:

-1

Step-by-step explanation:

Question in the picture

Answers

Answer:

y = -5x + 7

Step-by-step explanation:

Since the line you are looking for is parallel to y = -5x + 4, it will have a slope of -5

Now use the point-slope form to continue

y - 2 = -5(x - 1)

y - 2 = - 5x + 5

y = -5x + 7

What is a arithmetic fact ?

Answers

An arithmetic fact is an operation on 2 whole numbers and the correct answer. Addition Facts.

Fifteen pencils are sold for $750. what is the cost for 1 pencil ?​

Answers

One pencils cost $50
Because you to do 750/15 to get you X

Answer:

50$

Step-by-step explanation:

750/15=50

(do u mean 7.50 cuz if u did its 0.50 cents)

How many minutes will it take josia to skateboard Togo's friend Sebastian's house which is 3 miles from school, if he travels at the same rate he did from his house to school?

Answers

6 because you have to multiply house and school
6 is your answer have a great rest of your day or night :)

Construct a probability distribution for the data.
7. The probabilities that a patient will have blood drawn 0,1,2, or 3 times in a visit are 6/15, 5/15, 3/15, and 1/15, respectively.

Answers

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

1)
Ahmad does a statistical experiment.
He throws a dice 600 times.
He scores one, 200 times.
Is the dice fair? Explain your answer

Answers

Answer:

The dice is not fair.

Step-by-step explanation:

600 times

and

6 sides to said dice

600 / 6 = 100100 is NOT 200

100≠(Not equal sign)200

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

I would recommend writing/typing all of this as your answer.

Hope I helped!!

6=100 they ain’t that far apart

A person walks 13 mile in 19 hour.
The person's speed is ____ miles per

Answers

Answer:

0.68

Step-by-step explanation:

miles=13

hour=19

Now,

Speed=Velocity/Time Taken

=13/19

=0.6842miles/hour

y = 2x - 8 3x - 2y = 13​

Answers

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = 2x - 8

// Plug this in for variable  y  in equation [2]

  [2]    3x - 2•(2x-8) = 13

  [2]    -x = -3

// Solve equation [2] for the variable  x

  [2]    x = 3

// By now we know this much :

   x = 3

   y = 2x-8

// Use the  x  value to solve for  y

   y = 2(3)-8 = -2

Solution :

{x,y} = {3,-2}

SOME ONE HELP PLZZ Find the answers to the following multiplication problems without using a calculator. Reduce
the product to their lowest terms and change improper fractions to mixed numbers.
3/4 x 7/8

Answers

3/4= 6/8
6/8 x 7/8
21/32

Plz, answer this question plz!

Answers

Answer:d

d

Step-by-step explanation:

Answer: C. 2/3

Step-by-step explanation:

Take the number of times the coin was flipped on heads (12)

and the total number of times the coin was flipped (18)

make it a fraction

12/18

reduce the fraction by dividing both numbers by 6

2/3

-3 -5= pleaseeee help me asaappp

Answers

Answer:

-8?

Step-by-step explanation:

-8 is your answer.
When there are 2 negatives, you will have to add them.
Hope this helps!

One of these expressions reduces to 1 and the other reduces to –1. Do you know which one is which? How do you know? x + 3 3 + x 3 − x x − 3 x + 3 3 + x = The numerator of the expression 3 − x x − 3 can be written as . 3 − x x − 3 =

Answers

Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

The expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

The two given expressions are [tex]\frac{x+3}{3+x}[/tex] and [tex]\frac{3-x}{x-3}[/tex].

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

[tex]\frac{x+3}{3+x}=\frac{x+3}{x+3}=1[/tex]

Now, [tex]\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=-1[/tex]

Therefore, the expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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Solve for C.
5x – 4> 12
OR 12.c +5<-4

Answers

Answer:

x>16/5 or c<-1/12

Answer: x≥  

x≥16/5 or x≤-3/4

Step-by-step explanation: I think this is the answer but i´m not completely sure of it.

The base and the height of Triangle A are half the base and the height of Triangle B. How many times greater is the area of Triangle B?
The area of Triangle B is
times greater

Answers

Answer:

Let's say that the base of triangle a is 2 and the height is 3. That makes the base and height of triangle b 4 and 6. To find the area of a triangle, use the formula 1/2 multiplied by height multiplied by base. So the area of triangle a is 2 multiplied by 3 multiplied by 1/2 giving us 3. The area of triangle b is 1/2 multiplied by 4 multiplied by 6 giving us 12. Since 12 divided by 3 is 4, the area of triangle b is 4 times greater than the area of triangle a.

HELP ME PLS NOW I NEED YOU PPLS BRAINS

Answers

Since it has a line under > that means it equal to 7 and x is bigger than 7 so 8, 9, 10... so right
The second answer

Answer:

C and D

Step-by-step explanation:

I went to a website (https://mathbitsnotebook.com/JuniorMath/Equations/IQBasicInequalities.htm) and double-checked what the correct answers were. I apologize for the hassle I may have caused you.

Fill in the blank with the correct word(s) to complete the sentence.


A net is a two-dimensional ______ of a three-dimensional figure.


A.
pattern


B.
length


C.
congruent


D.
height

FREE BRAINLEST GIVEAWAY THE FIRST PERSON TO ANSWER FIRST GETS BRAINLEST! :P

Answers

A. Pattern
This is correct

Answer:

pattern

Step-by-step explanation:

hope it helps............:)

E
2
65°
57°
G
15. What is the measure of ZEFG in the triangle shown?
O A.56°
O B. 59°
O C.57°
O D.58°

Answers

Answer:

mmmaaaakkkeee iitt clleearr plsss

a cyclist covers a distance of 15km in 2hours calculate his speed​

Answers

Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h

What is the simplified expression for the expression below? -1(2x + 3) - 2(x - 1) O 4x+ O 4x - 2 o 4x + 2 0 4x -​

Answers

Given:

The expression is:

[tex]-1(2x+3)-2(x-1)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-1(2x+3)-2(x-1)[/tex]

Using distributive property, we get

[tex]-1(2x+3)-2(x-1)=-1(2x)-1(3)-2(x)-2(-1)[/tex]

[tex]-1(2x+3)-2(x-1)=-2x-3-2x+2[/tex]

On combining like terms, we get

[tex]-1(2x+3)-2(x-1)=(-2x-2x)+(2-3)[/tex]

[tex]-1(2x+3)-2(x-1)=-4x-1[/tex]

Therefore, the simplified form of the given expression is [tex]-4x-1[/tex].

Note: The correct option is not available.

pls help w fractions math question

Answers

Answer:

 2 5/6 is greater so Jenna read more

Step-by-step explanation:

Answer:

Antoine

Step-by-step explanation:

u see 8hrs divided by 1.25 hrs equals 6.4 Chapters and 6hrs/ 17/6 = 2.12 and that x3 = 6.36 as u can see 6.4 > 6.36 there u o have a good day bye please give brainliest im only 9 no cap

please help ..............

Answers

Answer:

3/1

Step-by-step explanation:

Line is passing through the points (0, 0) and (1, 3)

Slope of the line

[tex] = \frac{3 - 0}{1 - 0} \\ \\ = \frac{3}{1}[/tex]

Please help asap will mark brainliest if right #32 points!

Answers

1a.) -5.36

Franco is requesting a group of negative numbers, so in this case, -5.36 is negative and would fall under that category.

1b.) 4.6272727

Mai is requesting the group to have repeating decimals, in this case, 4.62727 would work.

The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?

Answers

*see attachment for the diagram of the triangular prism box

Answer:

528.8 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

Area of triangular base (BA) = ½*b*h

b = 24.5 in.

h = 12 in.

BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

Height of prism = 4 in.

Plug in the values into the surface area formula:

Surface area of prism = 2(147) + 58.7*4

= 294 + 234.8

= 528.8 in.²

Someone pls help. Write the equation in standard form

Answers

Answer:

Step-by-step explanation:

Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).

Therefore, equation of the quadratic relation will be in the form of,

y = a(x - 5)(x - 6)

For (0, 30),

30 = a(0 - 5)(0 - 6)

30 = 30a

a = 1

Therefore, equation will be,

y = (x - 5)(x - 6)

y = x² - 11x + 30

y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30

y = (x - 5.5)²+ 30 - 30.25

y = (x - 5.5)² - 0.25 [Standard form}  

b). Vertex → (-4, -7) and passes through a point (-2, 1)

Vertex form or standard equation of the quadratic relation is,

y = a(x - h)² + k

Here, (h, k) is the vertex

Therefore, equation will be,

y = a(x + 4)² - 7

Since, (-2, 1) lies on this relation

1 = a(-2 + 4)² - 7

a(2)²- 7 = 1

4a = 8

a = 2

Equation will be,

y = 2(x + 4)²- 7

111111111111111111111111111111111111111

Answers

Answer:

its the first one

Step-by-step explanation:

Answer: A
Hope this helps :)
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