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2 years ago

Help me please with the question I will mark BRAINLIEST

Mathematics

1 answer:

Semmy [17]2 years ago

6 0

Answer:

4^12
6^7
8^5
7^3

Step-by-step explanation:

apply the indices law

multiple means addition
division means subtraction
you are suppose to add the powers or subtract where necessary
4^9x 4^3= 4^5
6^5x6^2=6^7
8^6÷8=8^5
7^8÷7^6=7^2

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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.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

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

5 0

2 years ago

What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10

faltersainse [42]

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!

8 0

2 years ago

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X + 2y = 5 3x + 5y = 14 Solve the system of equations. (3.1) (7.-1) (2.3/2)

son4ous [18]

Answer:

(3,1) because x is 3 and y is 1.

Step-by-step explanation:

x+2y=5

3x+5y=14

Multiply first equation by 3:

3x+6y=15

3x+5y=14

Subtract 3x:

1y=1

Therefore, y = 1

Plug it back into 1st equation:

x+2(1)=5

x+2=5

Therefore, x = 3

Judging from your answers, it looks like (3,1) because x is 3 and y is 1.

I hope this helped!

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2 years ago

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Valentin [98]

Answer:

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allsm [11]

The answer to your question is X = -8

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Help me please with the question I will mark BRAINLIEST ​

Help me please with the question I will mark BRAINLIEST