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.


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A stick is twice as long as a piece of string. If you have 10 strings and 10 sticks laid out in a line, the line measures 90 inches. How long is the stick?

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the stick is 6 inches. if the stick is 6 and the string is 3 then the stick is double the string. if you multiply them both by ten because there is 10 each, you get 60 and 30. if you add them together you get 90 inches so the stick is 6 in. :))

What is the EXACT circumference of a circle that has a radius of 10 cm? Use "pi" to represent the pi symbol in your answer if necessary. ex. 15 times pi would be written as 15pi. ?

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Answer:

62.8

Step-by-step explanation:

c = 2 pi r

c = 2 * 3.14 * 10

c = 62.8

helicopter flies 152 miles in 1 hour 54 minutes. Calculate the average speed.

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Answer:

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Step-by-step explanation:

The answer is 80 mph

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Answer:

Slope = 2

Step-by-step explanation:

Rise = 2

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Step-by-step explanation:

Max and Zoe collected 33 pieces of garbage from the beach. Zoe collected twice as many pieces of garbage as Max. How many pieces of garbage did Zoe collected?

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Answer:

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Answers

Answer:

7 lbs. or option B.

Step-by-step explanation:

To figure out how much the chairs weigh to then divide them, you first need to subtract 36 from 92.

92 - 36 = 56

Now, we have to divide 56 by the number of chairs we have because we need to find out how much a single chair weighs.

56 ÷ 8 = 7

So, each chair weighs 7 lbs.

Answer:

B) 7 lbs

Step-by-step explanation:

To find how much the chairs weigh, you must subtract 36 from 92.

92 - 36 = 56

We have to divide 56 by 8 or the number of chairs.

56 ÷ 8 = 7

B) 7 lbs

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Answers

Answer:

e = 5

Step-by-step explanation:

E = 5 , please mark brainliest

Six friends share a 15 ounce bag of candy. Between what two whole numbers of ounces will each person get?

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that six friends share a 15 ounce bag of candy. The number of ounce gotten by each friend will be:

= 15/6

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Answers

Answer:

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Step-by-step explanation:

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b. 6x2y6
c. 9x2y6
d. 9x2y5​

Answers

Answer:

the answer is either B or C but I think it's C

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Answer:

406

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Answer:

36 miles perhour

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Where exactly is the question

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

72 is 45% of which number?
A. 45
B. 72
C. 144
D. 160

Answers

72 is 45% of 160. Lmk if u need more help

The number which will give 72  as its 45%  will be 160 .

Given,

72 is 45% of which number .

Here,

Let the number be x .

Now forming the equation to ger the desired value of x .

45 % of x = 72

45/100 of x = 72

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x/20 = 8

x = 160 .

Thus the number whose 45% is 72 is 160 .

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Answers

Answer:

pretty sure its 9 : 4

Step-by-step explanation:

Answer:

9:4

Step-by-step explanation:

"to" :

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Answers

Answer: all real numbers

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Answers

Answer:

1.y=2x-1

2.y=-3/5x+4

3.y=-3x+2

4.y=-x+7

5.y=1/4x

6.y=-5/2x-3

Step-by-step explanation:

Slope-intercept form: y=mx+b

1. y=2x-1
2. y= -2/5x+4
3. y= -3x+2
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6. y= -5/2x-3

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what does this equal y >4x - 5

Answers

Answer:

This represents the graph area above the line y = 4x - 5 shaded.

Step-by-step explanation:

y > 4x - 5 is an inequality.  First we graph y = 4x - 5, which has y-intercept (0, -5) and slope 4.  Next, we shade all of the area above this line (because the inequality y > 4x - 5 says that all y values are above 4x - 5).

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Answers

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Answers

Answer:

130 degrees

Step-by-step explanation:

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4 grams for every 3/4 servings find the unit rate

Answers

The unit rate is 5 1/3 grams per serving.
To find the unit rate, we can use the rule of three. If 4 grams are equivalent to 3/4 serving, how much grams would be 1 serving? Therefore, the unit rate is 5 1/3 grams per servin

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5 1/3.

Step-by-step explanation:

Unit rate = 4 / 3/4

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Answers

Answer: 24 ft³

Step-by-step explanation:

To calculate the amount of space that the box will take up in the moving truck, we are simply meant to calculate the volume. This will be:

= Length × Width × Height

= 2 × 4 × 3

= 24 ft³

Therefore, the space that the box will take up in the moving truck is 24 ft.

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What is the slope of the positive graph?

Answers

Answer:

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?

A.
f
(
x
)
=
23,000
(
0.15
)
x
B.
f
(
x
)
=
23,000
(
15
)
x
C.
f
(
x
)
=
23,000
(
0.85
)
x
D.
f
(
x
)
=
23,000
(
1.15
)
x

Answers

Answer:

A

Step-by-step explanation:

15% = 15/100 = 0.15

so basically, A is the answer

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?

Answers

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

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