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romanna [79]
2 years ago
11

(m^2 - 16n^2) / [(3m+12n)/mn]

Mathematics
1 answer:
loris [4]2 years ago
6 0

Answer:

All four restrictions apply:

m not= 0

n not= 0

m not= -4n

n not= m/-4

Step-by-step explanation:

For a rational expression, any expression that is a denominator AT ANY POINT in the calculation, must have the appropriate restrictions applied. There are two different expressions, mn and m+4n that we are concerned about here. See image. All four restrictions must be applied.

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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mash [69]

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

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4 0
3 years ago
If f(x) is an exponential function where f(-1.5) 26 and
mariarad [96]

Answer:

f(10) = 1147.25

Step-by-step explanation:

Given

f(-1.5) = 26

f(5.5) = 7

Required

f(10)

An exponential function is represented as:

f(x) = ab^x

f(-1.5) = 26 impleies that:

26 = ab^{-1.5} --- (1)

f(5.5) = 7 implies that

7 = ab^{5.5} --- (2)

Divide (2) by (1)

26/7 = ab^{-1.5}/ab^{5.5}

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3.71429 = b^{4}

Take 4th root

b = 1.39

Substitute b = 1.39 in 26 = ab^{-1.5}

26 = a * 1.39^{-1.5}

26 = a * 0.6102

Solve for (a)

a = 26/0.6102

a = 42.61

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f(10) = ab^{10}

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3 0
3 years ago
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Answer:

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masya89 [10]

Answer:

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3/7+1/2

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