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3 years ago

Continue the pattern 7, 16, 8, 27, 9

Mathematics

1 answer:

levacccp [35]3 years ago

4 0

Hello,

$7,4^2\\
8,3^3\\
9,2^4=16$

Answer 16

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Step-by-step explanation:

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Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

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3 years ago

Find the distance between points (-3,-4) and (1,-2)

Ludmilka [50]

Answer:

√20 or 4.47 ish

Step-by-step explanation:

√(1--3)²+(-2--4)²

√(1+3)²+(-2+4)²

√(4)²+(2)²

√16+4

√20

4.47 ish

(Hopefully this is correct, have a nice day!)

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2 years ago

2x−1/4y=1 solve for y please

Ivan

Answer:

EASY DUBS:

Step-by-step explanation:

2*x-((1/4)*y) = 1 // - 1

2*x-((1/4)*y)-1 = 0

2*x+(-1/4)*y-1 = 0

2*x-1/4*y-1 = 0 // + -1/4*y-1

2*x = -(-1/4*y-1) // : 2

x = (-(-1/4*y-1))/2

x = (1-(-1/4*y))/2

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2 years ago

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