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3 years ago

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Explain how raising a quotient to a power is similar to raising a product to a power.

1 answer:

Tcecarenko [31]3 years ago

6 0

In your question where to explain how the raising a quotient to power is similar to raising a product to a power. Form me the best explanation to this statement is because the variable with a exponent of positive is equals to its exponent over its variable.

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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7

Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em> $\infty$ <em> or it should not give us the </em> $\frac{0}{0}$ <em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value $\infty$ or $\frac{0}{0}$ <em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

$2.\ \dfrac{18}{y}$

At y = 0, the value

$At\ y =0, \dfrac{18}{y} \rightarrow \infty$

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em> $3.\ \dfrac{1}{x+7}$ <em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

$At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty$

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

$4.\ \dfrac{2b}{10-b}$

Let us consider denominator:

10-b can be zero at a value b = 10

$At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty$

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0

3 years ago

What answer to 1+7v+9

Sveta_85 [38]

Hey There!

In order to simplify this expression, you would have to combine the like terms.

9+1 = 10

Nothing else could be done, therefore the answer would be.

7v + 10

Hope this helped!

8 0

3 years ago

Read 2 more answers

Logs are stacked in a pile. The bottom row has 50 logs and next to bottom row has 49 logs. Each row has one less log than the ro

Mars2501 [29]

Answer:

46 logs on the 5th row.

Step-by-step explanation:

Number of logs on the nth row is

n = 50 - (n-1)

n = 51 - n (so on the first row we have 51 - 1 = 50 logs).

So on the 5th row we have 51 - 5 = 46 logs.

8 0

3 years ago

The volume (V) of water stored in an open tank varies due to evaporation as

Elena L [17]

75 is your answer

Hope this helped

Happy Holidays!

7 0

3 years ago

Read 2 more answers

Lcm of 3x^(2) and 10

Ahat [919]

Answer:

the least common multiple is 18

Step-by-step explanation:

7 0

3 years ago