Is the difference between a rational number and an irrational number always an irrational number ?

Answers

Answer 1

Answer: Of course!

Step-by-step explanation: I will suck at explaining this. Here's the general idea: A rational number is a number that is the quotient of two integers, or whole numbers. Rational numbers are things like 2, 5, 6, 2.5, 2.25, 6.53465, 1.666666666666666666666666666667; you get the idea. The point is, it can be represented by the fraction of two integers. An irrational number is something that cannot be represented this way. It's the same thing with multiplying an even number by an odd number; it'll always be odd, regardless of what the odd number is. Same with odd - even; it'll always be odd. Point being, there is no rational number that can be subtracted by an irrational number and be rational, or an irrational number that is subtracted by a rational number.


Related Questions

What is the missing number between 6 and 15

Answers

The answer would be 7. Hope this helps!

Three sisters purchased a dress of equal value. One of the sisters purchases a purse for $26.00. If the grand total was $249.50, how much did each dress cost?
I need an answer by today please! :)

Answers

Answer:

cost of dress is

Step-by-step explanation:

way to much they should have gone to goodwill they could get a dress for like 5 bucks

If h and j are inverse functions, what is h(j(15))

Answers

Answer: 15

Step-by-step explanation:

Let's define the concept of inverse functions.

If we have a function h(x), such that it has an inverse, and:

h(x) = y.

Then the inverse function j(x) must meet the following:

j(y) = x.

Now, we want to calculate:

h( j(15) ).

Let's suppose that:

j(15) = A.

(Where A can be any real number).

then, by the above relation, we must have that:

h(A) = 15.

Now we can replace j(15) by A in h(j(15)):

h( j(15) ) = h( A ) = 15.

A computer magazine is analyzing three microprocessors. Microprocessor A executes one cycle in 0.00000000003 seconds, microprocessor B executes one cycle in 0.0000002 seconds, and microprocessor C executes one cycle in 0.000000008 seconds. Which of these statements is correct? Select all that apply.

Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor B executes one cycle in 2 × 10–7 seconds.
Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor C executes one cycle in 8 × 10–9 seconds.
Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor A executes one cycle in 3 × 10–11 seconds.
Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor C executes one cycle in 8 × 10–8 seconds.
Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor B executes one cycle in 2 × 10–6 seconds.
Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor A executes one cycle in 3 × 10–12 seconds.

Answers

Answer:Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor B executes one cycle in 2 × 10–7 seconds.

Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor C executes one cycle in 8 × 10–9 seconds.

Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor A executes one cycle in 3 × 10–11 seconds.

Step-by-step explanation: I got it right on the test

6 1 2 3 + + 2 3 4 Situation: Find the value of this fraction computation: 6(1/2+3/4+2/3)​

Answers

Answer:

11.5 gotchu 100% correct

Step-by-step explanation:

Answer:

[tex]\frac{23}{2}[/tex] or 11.5

Step-by-step explanation:

[tex]\frac{1}{2} + \frac{3}{4} + \frac{2}{3} = \frac{6}{12} + \frac{9}{12} + \frac{8}{12}[/tex]  Plug the new expression in: 6(6/12 + 9/12 + 8/12)6/12 + 9/12 + 8/12 = 23/12Plug 23/12 in: 6(23/12)6(23/12) = 23/2 = 11.5

I hope this helps!

A painter mixes cans of green and white paint to make the shade needed for painting a bedroom. The table shows the
ratios he can use for the color he wants.
Green cans (g) 6 10 16 18
White cans (W) 915 24 27
Which is a direct variation equation for this relationship?

Answers

Answer:

A. 2/3w

Step-by-step explanation:

Option A is correct, g = 2/3 w is a direct variation equation for the given relationship

To determine the direct variation equation, we need to check if the ratio of green cans (g) to white cans (w) is constant across all the given ratios.

Let's calculate the ratios for each case:

For the first ratio: g = 6 and w = 9

g/w = 6/9

= 2/3

For the second ratio: g = 10 and w = 15

g/w = 10/15

= 2/3

For the third ratio: g = 16 and w = 24

g/w = 16/24

= 2/3

For the fourth ratio: g = 18 and w = 27

g/w = 18/27

= 2/3

Since the ratio of g/w is the same (2/3) for all cases, we can see that the relationship between green cans (g) and white cans (w) is a direct variation

Hence,  the direct variation equation is g = 2/3 w, option A is correct.

To learn more on Ratios click here:

https://brainly.com/question/1504221

#SPJ4

rewrite y=3x+5 in function notation

Answers

f(x)=3x+5 I think :)

Answer:

X=1

Step-by-step explanation:

I looked It up ¯\_(ツ)_/¯

Can u help me with this pls

Answers

i would guess C, but i’m not sure.

Answer:

[tex]2.\overline {24}[/tex] = 2[tex]\frac {8} {33}[/tex] or D.

Step-by-step explanation:

2  is a whole number, so its [tex]\frac {2} {1}[/tex] and [tex]0.\overline {24}[/tex] is a repeating decimal, so that means we try to simplify it: [tex]\frac {24} {100}[/tex]÷[tex]\frac {3} {1}[/tex]=[tex]\frac {24} {100}[/tex]·[tex]\frac {1} {3}[/tex]=[tex]\frac {8} {33}[/tex]

(5b-4)1/5
Need help simplify expression plz

Answers

Answer:

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

1. what is the Quadratic Formula? When is the most appropriate situation to use formula?

Answers

Answer:

Step-by-step explanation:

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve

Find the slope from point A and B

Answers

The answer is 40 because it went up 40 from point b to point A

the answer is 40 up and going down to b the answer is 40 agien so the answer is 40

WILL GIVE BRAINLIEST 14 PT!
what is b

Answers

Answer: b= 3.25

:):):):):):)

the answer is b=3.25


Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x + 15y = 45

Answers

Answer:

y equals -x/5 + 3

Answer:deformed penis

Step-by-step explanation:

1.2+&7(6–&67-7-7+7=6+7-66+7=7+7-7-

Cuánto le falta a 1/4 para llegar a 4/5​

Answers

Answer:

4/5 - 1/4

Step-by-step explanation:

4/5 =0.8

1/4=0.25

  ⇒0.8 - 0.25 = 0.55 (decimal form)

  ⇒4/5 - 1/4 = 11/20 (exact form-fraction)

if you're in 8th grade in 2020, what grade will you be in 2022?

Answers

Answer:10th?

Step-by-step explanation:

8 + two = 10????

Answer:

what grade are you in

Step-by-step explanation:

#14
14. You bought a bicycle at a 12% discount. If
the discount was $19.20, then what was the
original price of the bicycle?

Answers

Answer:

$21.50 would be the original price

Step-by-step explanation:

$19.20+12%= $21.50

$21.50 , I believe so

Introduction to functions
Which graph represents a function

Answers

Answer:it is the one with a strait line

-6^2=36 I’m stuck what’s the answer

Answers

36

Step-by-step explanation:

wait the answer is right there


HELP !! ANSWER ASAP

Question 3
1 pts
Describe the nature of the roots for the equation 49x^2-
28x +4 = 0
O one real root
one complex root
O two complex roots
O two real roots

Answers

Answer:

Step-by-step explanation:

One real root

The nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

The equation is given as:

[tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex]

To determine the nature of the roots, we make use of determinants.

The determinant (d) of a quadratic equation is calculated

[tex]\mathbf{d = b^2 - 4ac}[/tex]

Where the quadratic equation is:

[tex]\mathbf{ax^2 + bx + c = 0}[/tex]

By comparison, we have:

[tex]\mathbf{a = 49,\ b = -28,\ c = 4}[/tex]

So, we have:

[tex]\mathbf{d = b^2 - 4ac}[/tex]

[tex]\mathbf{d = (-28)^2 - 4 \times 49 \times 4}[/tex]

[tex]\mathbf{d = 784 - 784}[/tex]

[tex]\mathbf{d = 0}[/tex]

When d = 0, then the function has one real root.

Hence, the nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

Read more about nature of roots at:

https://brainly.com/question/24730520

The discriminant of a quadratic equation is 34. Which of the following is true about its roots? *

a.The roots are imaginary and unequal.
b.The roots are real, rational, and unequal.
c.The roots are real, irrational and unequal.
d.The roots are real, rational and equal.

Answers

Answer:

d. The roots are real, rational and equal.

Step-by-step explanation:

The discriminant of a quadratic equation is expressed using the equation:

D = b²-4ac. It talks about the nature of the roots of a quadratic equation.

If D>0, then the roots is real and unequal/distinct

If D<0 the roots are unreal and imaginary

If D = 0, the  roots are real and equal (one real root)

According to this question, since the root given is a real value and also one value, then the the roots are real, rational and equal. Note that the root is rational since we can write it as a ratio of two integers e.g 34 = 34/1. 34 and 1 are integers

PLEASE WILL GIVE BRANLIEST AND 100 POINTS

Find the area of the following shape. You must show all work to receive credit.

Answers

Answer:

Step-by-step explanation:

The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers

Answer:

56

Step-by-step explanation:

To find the area of a shape use this formula

L × W = A

Plug in

7 × 8 = 56

Area is equal to 56

How do you find the mean? I'm an idiot right now.

Answers

Answer:

the mean is the average of all the numbers. first add up all numbers. then divide by how many numbers there are.

hope this helps

Multi-step Equations
a+5=-5a+5

Answers

Answer:

a=0

Step-by-step explanation:

a+5=-5a+5

(add 5a to both sides)

-4a+5=5

(subtract 5 from both sides)

-4a=0

(divide both sides by -4)

a=0

At a cherry farm, the cost per pound of cherries depends on the amount of cherries bought. For an amount up to 100 pounds, the cost is $1.75 per pound, and, for an amount over 100 pounds, the cost is $1.50 per pound. Ralph bought 60 pounds and Jeff bought 80 pounds separately. If they had bought the total amount jointly, how much would they have saved?

Answers

Answer:

they would have saved 35 dollars

Step-by-step explanation:

Ralph on his own would have paid  105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.

George deposits $3,500 at 3.25% interest compounded monthly. What will his ending balance be after 5 years?

Answers

Answer:

FV= $4,117.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Number of periods= 5*12= 60 months

Interest rate (i)= 0.0325/12= 0.00271

To calculate the Future Value, we need to use the following formula:

FV=PV*(1+i)^n

FV= 3,500*1.00271^60

FV= $4,117.1

What is 39700.0947 in scientific notation ?

Answers

3.97000947 x 10 to the fourth power

Solve for y.
9(v+6) = 5v+22
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

9(v+6)=5v+22

9v+54=5v+22

Transposing 5v to LHS

9v-5v+54=22

4v+54=22

v=(22-54)/5

v=-32/5

THANK YOU

5. Which single step will solve the equation 9 = x-3?*
O Multiply both sides of the equation by 3.
O Subtract 3 on each side of the equation
Divide by 3 on each side of the equation
O Add 3 to each side of the equation

Answers

Answer:

Add 3 to each side of the equation

Step-by-step explanation:

The problem is 9+ x-3, so to isolate the x we need to remove the -3, and to do that we need to add positive 3 and whatever you do to one side you must do to the other! hope this helps

Can someone help me? Thanks!!:)

Answers

Answer:

A

Step-by-step explanation:

We can try each option to see which one is correct.

System of Equations:

y > -2

x + y <= 4

Option A:

3 > -2 (true)

1 + 3 <= 4

4 <= 4 (true)

We do not need to test any more options since we already found the correct one.

Best of Luck!

y=(x-4) ²-2
Find the vertex. How do you do that ?

Answers

It’s a lot of steps but the answer is The minimum value -2 at X=4

Answer:

(4,-2)

Step-by-step explanation:

Going to Desmos and you will see the the graph and you can push on the vertex and see the answer

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