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nadya68 [22]
3 years ago
15

Where are the vertical asymptote(s) f(x) = x2 + 12x + 27/ x2 + 4x + 3 .

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

x = -1

Step-by-step explanation:

f(x) = (x² + 12x + 27) / (x² + 4x + 3)

f(x) = ((x + 3) (x + 9)) / ((x + 3) (x + 1))

f(x) = (x + 9) / (x + 1)

The vertical asymptote is at x = -1.

Graph: desmos.com/calculator/r2x0inxmad

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3 years ago
Complete this sentence in a triangle the angle with the greatest measure is always opposite the​
Natali [406]

Answer:

longest side

Step-by-step explanation:

In a triangle the angle with the greatest measure is always opposite the​ longest side.

7 0
3 years ago
In Class 1, what is the median score? A) 70 B) 70.5 C) 71.5 D) 72
evablogger [386]

Answer:

B)  70.5

Step-by-step explanation:

Median = middle value when the values are placed in order.

If there are two middle values, the median is the mean of those two values.

<u>Class 1</u>

45 46 51 52 53 53 61 63 64 65 66 68 70 <u>70 71</u> 73 76 77 79 81 82 83 84 87 90 92 93 95

There are 28 values in Class 1.

Therefore, there are two middle values: 14th and 15th values

14th value = 70

15th value = 71

\implies \textsf{Median}=\dfrac{70+71}{2}=70.5

3 0
2 years ago
Read 2 more answers
Change 2.6 from decimal to fractions show explanation
noname [10]

Answer:

Step-by-step explanation:

The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60.  Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.

8 0
2 years ago
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
k0ka [10]

The number of roses purchased will be; <em><u>12 roses</u></em>

The total cost of the bouquet is; <em><u>$51</u></em>

Let number of roses be x

For Summerfield florists;

At $1 per rose and $39 for the vase, cost is;

C = x + 39

For grayson's flowers;

At $3 per rose and $15 for the vase,total cost is;

C = 3x + 15

We are told when he orders a certain number of roses, the cost will be the same with each flower shop.

Thus;

x + 39 = 3x + 15

3x - x = 39 - 15

2x = 24

x = 24/2

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Total cost is;

C = 12 + 39

C = $51

Read more about cost functions at; brainly.com/question/19300938

7 0
2 years ago
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