What are rational and irrational numbers and how are radicals related to rational exponents?

Answers

Answer 1

A rational numbers is any number that can be turned into a fraction/ratio. (Ex. 8, 0.75, 1/3). An irrational number is anything that can't be turned into a fraction/ratio. (Ex. Pi, square root of 2). Radicals and rational exponents are related because radicals can be converted into rational exponents.

Answer 2

Answer:

Any number that can be written as a fraction with integers is called a rational number. An irrational number is a number that cannot be expressed as a fraction for any integers. Radicals are related because for irrational numbers they cannot be simplified under the radical and you use a radical on the exponent to cancel it out, hope this helps!

Step-by-step explanation:


Related Questions

Work out the size of angle X

Answers

Answer:

117

Step-by-step explanation:

180-101 = 79

180-(79+38)

180-117

63

180-63=117

I’ll give brainliest! Please it’s already missing

Answers

Answer:-

[tex]\pink{\bigstar}[/tex] Amount of apple juice Will added [tex]\large\leadsto\boxed{\tt\purple{1 \frac{5}{12}}}[/tex]

• Given:-

Will puts 1/4 cup of grape juice in a cup.He added apple juice and then he had 1 cup of juice in the cup.

• To Find:-

How much apple juice Will added to the cup?

• Solution:-

➪ Amount of grape juice Will added = 1/4

➪ Amount of juice in total after adding the apple juice = 1

Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.

Hence,

➪ [tex]\sf 1 \frac{2}{3} - \dfrac{1}{4}[/tex]

➪ [tex]\sf \dfrac{5}{3} - \dfrac{1}{4}[/tex]

Taking an L.CM:-

➪ [tex]\sf \dfrac{20 - 3}{12}[/tex]

➪ [tex]\sf \dfrac{17}{12}[/tex]

➪ [tex]\large{\bold\red{1 \frac{5}{12}}}[/tex]

Therefore, the amount of apple juice added is [tex]\large{\bold 1 \frac{5}{12}}[/tex]

1 point
Captionless Image
107(90.50)
101(90.50)
104+3(90.5)
104+263.50

Answers

I don’t get what your trying to ask

Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150

HELPP PLEASEE

Answers

Answer:

360 divied by 2.4 = 150

Step-by-step explanation:

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

Jose has a baseball cards album. He
wants to fill his album with 200 cards.
He puts 20 cards in 8 pages. How many
more cards he needs to fill his baseball
cards album?
Pleade help quick

Answers

128 I think


200 - 20 = 180

20 divided by 8 = 2.5

180 divided by 2.5 = 72

200 - 72 = 128


sorry if it’s wrong.

Nancy bought a mobile phone marked at 720$ at a discount of 20 percent and she had to pay 5 percent tax. If Nancy had to put 20 percent of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?

Answers

Answer:

$120.96

Step-by-step explanation:

If there is a 20% discount, she would pay 80% of the price

o.80 x $720 = $576

If there is a tax of 5%, the price she pays increases by 5%

1.05 x 576 = 604.80

If she pays 20% deposit, she would pay

0.2 x 604.80 = $120.96

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

what does this equal​

Answers

In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48

Please help me
This is the third time that I am asking and still no one has answered it.

Answers

Answer:

I'm 99% sure that it is $3,311

Step-by-step explanation:

sorry if i was wrong

A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder? Use 3.14 for

Answers

Answer:

1571in^3

Step-by-step explanation:

Given data

h= 20 in

d= 10 in

r= 10/2= 5 in

V= πr^2h

substitute

V= 3.142*5^2*20

V=3.142*25*20

V=1571 in^3

Hence the volume is 1571in^3

In the diagram, the radius of the outer circle is 2x cm and the
radius of the inside circle is 6 cm. The area of the shaded region
is 364 pi cm

Enter your answer in the box.

Answers

825
Because when we did that we got

Please help me ASAP!​

Answers

Answer:

Range: 1 > x > 3

Step-by-step explanation:

We are given then function;

y = x³ - 6x² + 9x + 5

dy/dx = 3x² - 12x + 9

We want to find the range of values of x for which dy/dx > 0

Thus;

3x² - 12x + 9 > 0

Using quadratic formula, we have;

x = 1 and x = 3

Let's define the range;

try x = 0

3(0²) - 12(0) + 9 = 9

This is more than 0, so it is part of the solution.

Let's try x = 4

3(4²) - 12(4) + 9 = 9

This is more than 0 so it is part of the solution

Let's try x = 2

3(2²) - 12(2) + 9 = -3

This is less than 9 and so it's not part of the solution.

Thus the range of values of x for which dy/dx > 0 is;

1 > x > 3

plz help giving big bucks 50 points

Answers

Answer:

A

We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.

Step-by-step explanation:

square root of 3x+7=x-1

Answers

Answer:

you can't find the square root of a negative

Step-by-step explanation:

LLALALALLA HELP TY LLALALALLA



lalallalalallalalal HELp lalallalalalallalalala

Answers

Answer:

a⁸

Step-by-step explanation:

Rule: a^x. X a^y = a^x+y

a^8 (a to the 8th power)

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

Answers

Answer:

Step-by-step explanation:

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

find the value of x! this is geometry

Answers

Answer:

it's v-33

Step-by-step explanation:

I just used cymath recommended

Subtract the rational expression 1/x^2-x-6 - x/x+2.

Answers

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]

                      [tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]

Abi and Billy share money in the ratio 4:7.
Billy gets £27 more than Abi.
How much does Abi get?

Answers

Answer:

15.43:27

Step-by-step explanation:

I think it is correct

Negative x + 6y = 16 and 8x - 6y = -2 which statements about the system of equations are true check all that are apply the x variable will be eliminating when adding the system of equations and the y variable will be limited when adding the system of equations or the sum of the system equations is negative 8X = 14 or x = 2 or y = 3 or there's only one solution to the system equations

Answers

Answer:

y variable will be elimited when adding the system of equations

x = 2 or y = 3

Step-by-step explanation:

- x + 6y = 16

8x - 6y = -2

Add both equations

(-x + 8x) + {6y + (-6y)} = 16 + (-2)

7x + 6y - 6y = 16 - 2

7x + 0 = 14

7x = 14

x = 14/7

x = 2

- x + 6y = 16

- 2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

the x variable will be eliminating when adding the system of equations and the

y variable will be elimited when adding the system of equations

or the sum of the system equations is negative 8X = 14 or

x = 2 or y = 3

or there's only one solution to the system equations

PLZ HELP ME ‼️‼️‼️‼️
How many tacos will he sell?

Answers

Answer:

Step-by-step explanation:

x + y =35

3x + 2y = 90

-3x - 3y = -105

 3x + 2y = 90

-y = -15

y = 15 tacos

x + 15 = 35

x = 20 sandwiches

20 sandwiches = x

15 tacos = y

What is the final step for 2y=x-10? Subtract 2 from each side, divide each term by 2, divide each term by -2, or add 2 to each side?

Answers

Answer:

y= x/2 - 5

Step-by-step explanation:

Answer:

Divide each term by 2

Step-by-step explanation:

You would get y = 1/2x - 5

This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.

A 4.7 cm

B 7.7 cm

C 10.7 cm

D 18.8 cm

Answers

Answer:

7.7

oof oof oof oof oof oof oof oof oof oof oof

Answer:

10.7

Step-by-step explanation:

A triangle has sides with lengths of 45 miles, 60 miles, and 75 miles. Is it a right triangle?

Answers

Answer:

it is a right triangle

Step-by-step explanation:

please help me find the area

Answers

Answer:

240 square units

Step-by-step explanation:

rectangle= 20x10=200

triangle= 1/2(4)(20)=40

200+40=240

I can't figure out which one this is, ​

Answers

Answer:

That would be ~p through~v.

What is the value of a in the equation 3 a+b = 54, when b = 9?
15
18
21
27

can someone help me with this?

Answers

Answer:

15

Step-by-step explanation:

3a+b=54

3a+9=54

54-9=45

45 ÷ 3= 15

3 × 15 - 9=54

45 + 9=54

15 because the first thing you have to do is plug in 9 so the equation would then be
3a +9 = 54, then you would subtract 9 from both sides and then you would get 3a = 45 and then divide both sides by 3 and you would get a= 15

please help with number 31 problem a and explain
:p

Answers

Answer: y=0.75x+5
Explanation: every apple cost $0.75 so you would put ‘x’ next to that, since this represents the number of apples purchased (which can be more than 1). 5 would be added at the end since the person only need to buy 1 tickets to enter.

is 1,2,3,4,5 domain or range?

Answers

Answer:

domain

Step-by-step explanation:

This is domain, as it is the complete set of values. Range would be the difference between the highest and the lowest value (5-1)

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