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snow_lady [41]
3 years ago
9

Which is a rational function?

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

..."one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator."

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The length of a rectangle is 3m less than double the width, and the area of the rectangle is 44m to the second power. Find the d
gulaghasi [49]

Answer:

length = 8m and width = 5.5m

Step-by-step explanation:

Let the width be w

Length = 2w - 3

Given, Area = 44m2

Remember, area = length x width

Area = (2w - 3) X w.    (expand the bracket)

Area = 2w² - 3w

2w² - 3w = 44

2w² - 3w - 44 = 0

Solve the quadratic equation

2 Factors of -44 that the sum would give -3 = +8 & -11

Rewrite the equation

2w² +8w - 11w -44 = 0 (factorise)

2w(w +4) - 11 ( w + 4) = 0

(2w - 11) ( w + 4) = 0

2w - 11 =0 or w + 4 = 0

2w = 11 or w = -4

W = 11/2 or -4

Width = 5.5m because we can't have a width that is negative.

Therefore length = 2w - 3

Length = 2(5.5) - 3

Length = 11 -3

Length = 8m

Dimension of rectangle is length = 8m and width = 5.5m

That is 8m by 5.5m

I hope this was helpful, Please mark as brainliest.

3 0
3 years ago
By substituting
jarptica [38.1K]
-0.581139 or 2.581139

4 0
3 years ago
Rectangular garden measures 31 feet by 41 feet. surrounding the garden is a path 4 feet wide find the area of this path
iris [78.8K]

Answer:

385ft^2

Step-by-step explanation:

31 * 41 = 1271

36 * 46 = 1656

1656 - 1271 = 385

Answer is 385 square feet

6 0
2 years ago
2. Subtract: 7 - 2.5<br> 1<br> o<br> 5<br> O<br> 5.5<br> 5.0<br> 4
vladimir2022 [97]
4.5 is the answer for you problem
7 0
3 years ago
Evaluate 2p-nm-4, if m=3, p=15, and<br> n=5.
BabaBlast [244]

Step-by-step explanation:

given m = 3, p = 15 and n = 5,

2p - nm - 4 \\  = 2(15) - (5)(3) - 4 \\  = 30 - 15 - 4 \\  = 15 - 4 \\  = 11

3 0
3 years ago
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