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Phantasy [73]
1 year ago
7

natural numbers will ____ be whole numbers. Integers will ___ be natural numbers. Irrational numbers will ___ be real numbers. R

ational numbers will be irrational numbers. Rational numbers will __ integers..Fill in the blank in each sentence with either "Always", "sometimes", "never"
Mathematics
1 answer:
NARA [144]1 year ago
3 0

- Natural numbers will Always be whole numbers.

Natural numbers are positive integers (whole numbers), so, they are always whole numbers.

- Integers will Sometimes be natural numbers.

Not all integers are natural numbers. Negative integers are not natural numbers while positive integers are natural numbers.

- Irrational numbers will Always be real numbers.

Real numbers consist of both irrational and rational numbers. So, all irrational numbers are real numbers.

- Rational numbers will Never be irrational numbers.

Rational numbers and irrational numbers are two different types of real numbers.

- Rational numbers will Sometimes be integers.

Not all rational numbers are integers. there are some rational numbers that are not integers while some rational numbers are integers.

er

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The equation that models this trip is T= 36x + 60 where T represents the total cost for the group to take the trip and X equals
Archy [21]

We are given

The equation that models this trip is T= 36x + 60

T represents the total cost for the group to take the trip and

X equals the number of people going

we know that

Domain is all possible values of x for which any function is defined

Since, number of people can neither be negative nor in decimals

so, x can not be negative or in decimals

now, we will check each options

option-A:

x=40

This is positive and whole number

so, this can be domain

so, this is TRUE

option-B:

x=60

This is positive and whole number

so, this can be domain

so, this is TRUE

option-C:

0< x< 40

It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

option-D:

0< x< 39

It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

4 0
3 years ago
Read 2 more answers
Please help i don't understand
olchik [2.2K]

Answer:

Step-by-step explanation:

the answer is 3/7 ‍

5 0
3 years ago
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Explain how to determine which numbers must be excluded from the domain of a rational expression. Please provide an example with
Katarina [22]

Answer:

  • When we are having a rational expression i.e. a expression of the type:

\dfrac{f(x)}{g(x)}

Where f(x) and g(x) are polynomial functions.

Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.

Hence we have to exclude the points where the given denominator quantity is zero.

  • Let us consider an example as:

  Let R(x) denote the rational function as:

R(x)=\dfrac{x^2}{(x-2)(x-3)}

Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.

We know that (x-2)(x-3) is zero when x=2 or x=3.

Hence, the domain of R(x) is: R- {2,3}.

7 0
3 years ago
Evaluate the exponential expression (−2)6. Question 6 options: −12 12 −64 64
OlgaM077 [116]

Answer:

64

Step-by-step explanation:

(-2) ^6

This is -2 multiplied by itself 6 times

-2 * -2 *-2 * -2* -2 *-2

64

7 0
4 years ago
During week one of his training Conrad did 10 push-ups every day. He increased his daily number of push-ups by 5 every week afte
Nonamiya [84]
He starts with 10, +5 after every week
week 2=10+5
week 3=10+5*2
...
week 25 =10+5*24
f(x)=10+5(x-1)
so during the 25th week=10+5*24=10+120=130
6 0
3 years ago
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