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3 years ago

Which numbers are rational?

Mathematics

1 answer:

Dima020 [189]3 years ago

6 0

Answer:

All of them.

Step-by-step explanation:

Rational numbers are defined as the numbers that can be expressed as the ratio of two integers(a/b) where b must be a non-zero number. The rational numbers display a terminating characteristic and they also contain repeating, as well as, recurring digits. All the given numbers are rational as they can be written in the form of p/q.

23.429 = It can be written as a fraction. So, it is a rational number.

10 = 10 is a whole number and it can be written in the form of a/b i.e. 10/1. So, it is a rational number.

13 = 13 also can be written in ration form as 13/1. Therefore, it is also a rational number.

151 = It can be written as 151/1. Hence, it is a rational number.

8/7 = It is already mentioned in the form of a/b. So, it is a rational number.

-4.93 = since it is an integer, it will surely be a rational number.

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Solve for y when x=28 x+3y=28

I am Lyosha [343]

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We also know x is equal to 28. So, we can replace x with 28.
Now the equation will look something like 28 + 3y = 28

Now let us solve it.

28 + 3y = 28

First, subtract 28 from each side of the equation.

(28 + 3y) - 28 = 28 - 28 =
3y = 0

Now divide each side by 3.

3y / 3 = 0 / 3

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If a fraction has a numerator of 0, that means it's 0.

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aleksklad [387]

Assuming you want to solve for a, then

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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Brilliant_brown [7]

Answer:

$f(x)=\sqrt{x-1}$ -----> Graph C

$f(x)=\sqrt{x}$ -----> Graph A

$f(x)=\sqrt{x}-1$ -----> Graph B

$f(x)=-\sqrt{x}$ -----> Graph D

$f(x)=-\sqrt{x-1}$ -----> Graph E

Step-by-step explanation:

we have

case a) $f(x)=\sqrt{x-1}$

Find the domain

we know that

The radicand must be greater than or equal to zero

$x-1\geq 0$

$x\geq 1$

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval -----> [0,∞)

All real numbers greater than or equal to 0

case b) $f(x)=\sqrt{x}$

Find the domain

we know that

The radicand must be greater than or equal to zero

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> [0,∞)

All real numbers greater than or equal to 0

case c) $f(x)=\sqrt{x}-1$

Find the domain

we know that

The radicand must be greater than or equal to zero

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> [-1,∞)

All real numbers greater than or equal to -1

case d) $f(x)=-\sqrt{x}$

Find the domain

we know that

The radicand must be greater than or equal to zero

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> (-∞,0]

All real numbers less than or equal to 0

case e) $f(x)=-\sqrt{x-1}$

Find the domain

we know that

The radicand must be greater than or equal to zero

$x-1\geq 0$

$x\geq 1$

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval -----> (-∞,0]

All real numbers less than or equal to 0

5 0

3 years ago

Please help! Correct answer only!

VARVARA [1.3K]

Answer:

Probability ≈ 0.3571

Step-by-step explanation:

Consider the steps below;

$Total Number of Outcomes - 9C4,\\9 ! / 4 ! * ( 9 - 4 ),\\9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1,\\\\Total Outcomes = 126,\\\\Number of Outcomes - 3C2 * ( 6C2 ),\\3C2 = 3,\\6C2 = 15,\\\\Number of Outcomes = 3 * 15 = 45,\\\\Probability; 45 / 126 = ( About ) 0.3571$

Solution; Probability ≈ 0.3571

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