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3 years ago

7

When is the product of the square root of a prime number and a nonzero rational number a rational number?

1 answer:

Nookie1986 [14]3 years ago

8 0

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

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3 years ago

Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions

liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

$f(x)=15x$

From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).

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The function for clear image studio is

$g(x)=12x$

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

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