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Gre4nikov [31]
4 years ago
12

How to find horizontal asymptotes with x as an exponent analytically?

Mathematics
1 answer:
tiny-mole [99]4 years ago
4 0
When the base is greater than 1, the value approaches zero as the exponent goes to -∞. When the base is less than 1, the value approaches zero as the exponent goes to ∞. Whatever additions or factors you have that modify the exponential term will modify the asymptote accordingly.
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In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?
nikdorinn [45]
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3 years ago
A family has a rectangular back yard that measures 5x+4 by 3x-2 they are building a square patio with side lengths that measure
belka [17]

Answer: 14x² - 4x - 17

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The rectangular back yard measures 5x + 4 by 3x - 2. This means that the area of the rectangular back yard would be

Area = (5x + 4)(3x - 2)

Area = 15x² - 10x + 12x - 8

= 15x² + 2x - 8

The formula for determining the area of a square is expressed as

Area = length²

Length of square patio = x + 3

Area of square patio = (x + 3)(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

The expression for the area of grass that will be left in the back yard after the patio is built is

15x² + 2x - 8 - (x² + 6x + 9)

= 15x² + 2x - 8 - x² - 6x - 9

= 15x² - x² + 2x - 6x - 8 - 9

= 14x² - 4x - 17

8 0
3 years ago
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4 0
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(a - b)(2x-3)+(6x+7)(a+b)<br> Factorise
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Answer:

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Step-by-step explanation:

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