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3 years ago

At what value of x does graph of the following function f(x) have a vertical asymptote? F(x)= 1/x+3

Mathematics

1 answer:

kirill115 [55]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

f(x) = $\frac{1}{x+3}$

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 3 = 0 → x = - 3 is the vertical asymptote

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If 588 digits were used to number the pages of a book, how many pages are in this book?

andre [41]

Answer:

294 pages are in this book

Step-by-step explanation:

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2 years ago

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The histogram below represents the high temperatures recorded each day over month period. Which of the following statements are

Kisachek [45]

Answer:

See possible solutions below.

Step-by-step explanation:

The statements are not given. But the following can be determined from the graph:

More days recorded temperatures between 82 and 84 then other temperatures.
The least number of days recorded temperatures between 88 and 90.
The histogram is skewed to the right also known as positive skewed distribution.
The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.

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2 years ago

Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i

zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

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3 0

2 years ago

I don't understand what's the answer

gayaneshka [121]

The correct answer is D. 36 x 1/9
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4 ^-2
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3 years ago

Drag each pair of numbers to show if their greatest common factor (GCF) is less than 2, equal to 2, equal to 3, or greater than

TEA [102]

Answer:

GCF < 2 : 2 and 7, 12 and 13

GCF = 2 : 2 and 6

GCF = 3 : 3 and 6

GCF > 3 : 4 and 12, 6 and 18

Step-by-step explanation:

The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.

(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.

(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.

(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.

(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.

(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.

8 0

3 years ago