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natita [175]
3 years ago
5

Where are the astmptotes for the following function located f(x)=7/x^2-2x-24​

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

Hence, the asymptotes of f(x) located at x=6 and x=-4.

Step-by-step explanation:

Since we have given that

f(x)= \frac{7}{x^2-2x-24}

We need to find the asymptotes for the above function:

Asymptotes occur when denominator becomes zero.

x^2-2x-24=0\\\\x^2-6x+4x-24=0\\\\x(x-6)+4(x-6)=0\\\\(x-6)(x+4)=0\\\\x=6,-4

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9. A rectangle has a width that is 2 feet longer than four times the length. What is the length of the rectangle
Bad White [126]

Answer:

6 feet

Step-by-step explanation:

Perimeter = 2L + 2W

Since you know the perimeter is 64 feet, you would plug that into the perimeter side.

64 = 2L + 2W

You also know the width is 2 feet longer than 4 times the length.

64 = 2L + 2(2 + 4L)  ----> Multiply 2 * 2 and 2 * 4l

64 = 2L + 4 + 8L  ----> Subtract 4 from each side

-4           -4

60 = 2L + 8l ----> add these two

60 = 10L

/10   /10 -----> divide by 10 on each side

6 = L

Now that we know the length, find the width.

64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6

64 = 12 + 2(2 + 24) -------> add 24 and 2

64 = 12 + 2(26) -------> multiply 2 and 26

Before you go any further, you now know that the width is 26 feet. Continue solving.

64 = 12 + 52

64 = 64

Everything checks out.

The length is 6 feet and the width is 26 feet.

3 0
3 years ago
Jake wants to enlarge 12 ft by 14 foot garden if you multiply two Dimensions by to how will the area of the garden be affected​
Tatiana [17]

Answer:

A. It will be multiplied by 4.

Step-by-step explanation:

When all the dimensions of a 2-dimensional figure are multiplied by a number x then the area is multiplied by x^2. Since all numbers are multiplied by 2 then the area will be multiplied by 2^2 or 4.

To prove this:

12*14=168

Now double the dimensions

24*28=672

Notice that 168*4=672

If this helped please consider giving brainliest.

8 0
3 years ago
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Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is Star
Bad White [126]

Answer:

The expression is;

Number of books = length of box/thickness of book

= 81/2/9 = 81 books

Step-by-step explanation:

Here, we want to determine the number of books that will fit into a box given the length of the book and the box.

The expression that can be used to get the number of books will be;

Number of books = length of box/thickness of book

= 18 divided by 2/9

= 18 * 9/2 = 81 books

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4 years ago
On a number line, what is the distance between -8 and -2?
Harrizon [31]

Answer:

6 units

Step-by-step explanation:

Distance between two points on the number lines, the difference between the absolute values.

I-8 I - I - 2I = 8 - 2 = 6

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Answer:

5 x + 3 = 23

Step-by-step explanation:

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