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3 years ago

Are natural numbers always sometimes never rational numbers

1 answer:

7 0

Natural numbers are always rational numbers,

Rational numbers can be defined as numbers that can be represented as a ratio of two integers. All natural numbers can be represented as a ratio because theycan be over one. For example, 3/1 or 19838645752641/1.

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In the table below, x represents the miles traveled and y represents the cost to travel by train.

Afina-wow [57]

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points $(x_1, y_1),\ (x_2, y_2)$

The slope is:

$m =\frac{y_2-y_1}{x_2-x_1}$

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

$m =\frac{15.25-8.50}{5-2}=2.25$

We calculate the slope between the points 3 and 4

$m =\frac{31-22}{8-4}=2.25$

We calculate the slope between the points 2 and 3

$m =\frac{22-15.25}{8-5}=2.25$

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

7 0

3 years ago

Read 2 more answers

17 1/3 + (-50 1/3) -5 1/2

vovangra [49]

17 1/3 + (-50 1/3) -5 1/2
= -33 - 5 1/2
= (-33 ) + ( - 5 1/2)
= -38 1/2

8 0

3 years ago

Read 2 more answers

Find each absolute value | 4+2i | | 5-i | | -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$

4 0

2 years ago

Read 2 more answers

Two functions, P and Q, are described as follows: Function P y = 5x + 3 Function Q The rate of change is 2 and the y-intercept i

Svetach [21]

Function P . . . . . y = 5x + 3

Function Q . . . . . y = 2x + 4

Function P rate of change = 5
Function Q rate of change = 2

The first one is => 3 <= more than second one.

7 0

3 years ago

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Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39

lutik1710 [3]

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

6 0

3 years ago