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Alchen [17]
3 years ago
5

Simplify the given expression. Assume that no variable equals 0. (14x^20y^10 / 28x12y^14)^4

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

what does the ^ mean.

i will answer in the comments

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Classify the following system of equations.
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Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

y =  \frac{3}{2}y + 3

Bottom equation

y =  \frac{3}{2}x + 3

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

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The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, Marc
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3 years ago
0.64 as a fraction in lowest terms
Nezavi [6.7K]

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5 0
3 years ago
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The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand of the function cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

144\leq 0 ----> is not true

This value of x not satisfy the domain

substitute

f(x)=\sqrt{-144} ----> this value is undefined

For x=-144

-144\leq 0 ----> is true

This value of x satisfy the domain

substitute

f(x)=\sqrt{-(-144)}

f(x)=\sqrt{144}----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0
2 years ago
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