Mathematics High School

Suppose a is an irrational number
and is a rational number. Can
their sum be rational? Explain your
answer.

Answers

Answer 1

Answer:

The sum of a rational number and an irrational number is irrational

Step-by-step explanation:

By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats. If you add a non-repeating, non-terminating decimal to a terminating decimal, you still have a non-repeating, non-terminating decimal. If you add a non-repeating, non-terminating decimal to a repeating decimal, you will no longer have a repeating decimal.

Example:

[tex]3+\sqrt{5} = 3+2.236067977...=5.236067977....[/tex]

Related Questions

7a + b - 12 wich is the coefficient?

Answers

coefficient = 7 and 1
7 is the coefficient of a
1 is the coefficient of b
The coefficient is 7

The point (7, −2) is reflected across the x-axis. What are the coordinates of the reflection?

Answers

It would be (7,2). If you look at the graph you can check.

What would x equal for this equation

Answers

Answer:

15

Step-by-step explanation:

3*5

R15,50 for 5kg , how much for 1 kg​

Answers

Answer and Step-by-step explanation:

Divide both numbers by 5kg to know how much R is for 1 kg.

[tex]\frac{15.50}{5}[/tex] = 3.1.

It is 3.1 for 1 kg.

#teamtrees #PAW (Plant And Water)

.
Sydney has a points card for a movie theater,
She receives 35 rewards points just for signing up.
She earns 5.5 points for each visit to the movie theater,
She needs at least 90 points for a free movie ticket.
Which inequality can be used to determine w, the minimum number of visits Sydney
needs to earn her first free movie ticket?

Answers

Answer:

35+5.5w>90

Step-by-step explanation:

35+5.5x>90

it would be this sign > but with a line under it..the amount of points she racks up can be greater or equal to 90

             

Which statements about the graphs of functions g(x) = −1/4x^2 and f(x) = x2 are true? Select all that apply.
A. g is wider than f.
B. f and g open in the same direction.
C. f and g have the same vertex.
D. f and g have the same axis of symmetry.

Answers

Answer: c and d

Step-by-step explanation:

A function assigns the values. The correct options are A, C, and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The statements that are true about the two functions g(x)=(−1/4)x² and f(x)=x² are,

A. g is wider than f.

C. f and g have the same vertex.

D. f and g have the same axis of symmetry.

Hence, the correct options are A, C, and D.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

8 + (7 + 1)2 + 4
Can you help me find the answer to this one.

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

8+(7+1)2+4=

8+(8)×2+4=

8+16+4=

28

ps:Can I be brainliest.Have a nice day.Best regards

Need this !!!! Badly

Answers

Answer:

78

Step-by-step explanation:

Subject:Mathematics ​

Answers

Answer:

true sorry if wrong im not the best at this type of math but im average

Step-by-step explanation:

Please help....ill mark brainiest......

Answers

y - output
a - input
b - growth factor - if b>1-->growth factor
if 0 decay factor
x- constant ratio

im not 100% sure but i think most might be correct

Someone plz help me plz giving brainliest

Answers

Wins 14 losses 10 can I pls have branliest

how do i solve? the help video doesnt actually help

Answers

Answer:

y = 5x - 8

Step-by-step explanation:

The linear equation in slope intercept form :

y = mx + c

m = slope ; c = intercept

m = Rise / Run = (y2 - y1) / (x2 - x 1)

Rise = (y2 - y1) = (12 - (-8)) = (12 + 8) = 20

Run = (x2 - x1) = (4 - 0) = 4

Slope, m = Rise / Run = 20 /4 = 5

Hence,

y = 5x + c

For the points ; y = 12 ; x = 4 ; we could obtain c

12 = 5(4) + c

12 = 20 + c

12 - 20 = c

-8 = c

The equation becomes :

y = 5x - 8

Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month.Let x represent how many books Miles read in the second half of March. Which inequality describes the problem?

Answers

Answer:

[tex]x>6[/tex]

Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March

Step-by-step explanation:

Given: Miles read 4 books in the first half of March.

Also, Miles read more than 10 books in a month.

[tex]x[/tex] denotes number of books read by Miles in the second half of March.

To find: inequality that describes the problem.

Solution:

Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March =  [tex]4+x[/tex]

Also, Miles read more than 10 books in a month.

Therefore,

[tex]4+x>10\\x>10-4\\x>6[/tex]

can I get help pls :')​

Answers

Answer:

1.a: 6x = y

1.b: 7 packs

Step-by-step explanation:

1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.

1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.

If 20 articles cost ? 90, then the cost of 9 articles is ?

Answers

9 articles would cost you around $40.5 because you would devide 90 by 20 and u get 4.5 then u multiple it by 9 and it gives u 40.5

Answer:

40.50

Step-by-step explanation:

1. 90 ÷ 20 = 4.50

2. 4.50 × 9 = 40.50

Write a divison equation to show 100 ounces of soda equally among 12 people. how many ounces will each person have?

Answers

Answer:

100/12

They will each have 8 ounces.

Step-by-step explanation:

Answer:

8.3

Step-by-step explanation:

[tex]\frac{100}{12}[/tex]=8.3

What might weigh 20 kg?
a. small car

b. tablet

c. heavy suitcase

d. watermelon

Answers

The heavy suitcase.

A small car would still weigh quite a lot, a tablet would weigh a lot less than that, and a watermelon is around 2kg (depends).
Suitcase should be right can I get the crown I only need 5 more

How far away from zero on the y-axis is the point (2, 5)?
A. 2
B. 0
C. 5
D. 1

Answers

i think either a or c

the answer is C

Step-by-step explanation:

2 is the x axis and 5 is the y

A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet

What is the height of the tank if it’s radius is 16 feet?

Answers

Volume of a cylinder = π radius² x height
Replacing with values given:
7252 = 3.14 ( 16 )² h
Solving for h (height)
7252 / 3.14(16)² =h
7252 /3.14 (256) =h
7252 / 803.84 = h
9.02 =h
The height of the tank is 9.02 feet
Answer : 9.02 feet

The height of the tank if it’s radius is 16 feet is,

⇒ Height = 9.02 feet

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet.

Now, We know that;

Volume of a cylinder = π × radius² x height

Here, Radius is 16 feet.

Hence, We get;

Volume of a cylinder = π × radius² x height

7252 = 3.14 × 16² × h

⇒ 7252 = 803.84 h

⇒ h = 7252 / 803.84

⇒ h = 9.02 feet

Thus, The height of the tank if it’s radius is 16 feet is,

⇒ Height = 9.02 feet

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Solve the equation. -3x+2x=8​

Answers

Answer:

= − 8

Step-by-step explanation:

Combine like terms  

Divide both sides of the equation by the same term

Simplify

Write an equation in point-slope form of the line through point J(9,-8) with slope 2. y + 8 = 2(x 9) b. y + 8 = 2(3-9) 1 + 8 = 2(x +9) d. 1 - 8 = 2(x + 9)​

Answers

Answer:

y +8= 2(x-9)

Step-by-step explanation:

circumference of a car tire is 113.1 inches find the diameter of the tire. find the diameter of the tire to the nearest tenth of an inch

Answers

Answer:

36

Step-by-step explanation:

Answer:

diameter = 36 inches

Step-by-step explanation:

diameter = circumference / π

diameter = 113.1/3.14 = 36 inches

Help...please I need this fast

Answers

Answer:

sorry I'm not the best with math and sorry if I just waisted your time... :)

1. y + 2.4 = 7.4
2. w − 3 = 11
3. 5 + y = 7
4. b + ½ = ⅔

1) y =
2) w =
3) y =
4) b =

Answers

Hopes this helps:

Answer:

1. Y = 5
2. W = 14
3. Y = 2
4. B = 1/6

need help on my geomrty homework

Answers

The first one is the correct answer

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

You like to lift weights!!!!

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Please help me please please

Answers

The answer is letter C

One scoop of ice cream weighs
about 3 ounces. Last Thursday the
ice-cream parlor used 18 pounds of
ice cream. About how many scoops of
ice cream were served last Thursday?

Answers

Answer:

96 scoops

Step-by-step explanation:

First, Convert 18 pounds to ounces and that is 288 ounces

Next, Divide 288/3=96


How would you re-write the expression "4 times the sum of 14 and 26?"

Answers

4x14+26 (40x4) = 1600

Answer:

4(14+26)

4 times the SUM of 14 and 26 would mean, you have the addition problem now multiply that by 4 but don't solve the addition problem.

Sawyer was last year's PI Day
champion. He is feeling
confident this year with his
chocolate silk ple. One recipe
calls for 16.8 grams of semi
sweet chocolate. Sawyer only
uses premium. Imported Belgian
chocolate, so each gram costs
him $472. How much did he pay
for the chocolate? Round to the
nearest hundredth If
necessary

Answers

7,929.60 . i think :D

for the system {3x-2y=4, 4x-3y=7,
which is the solution to the system?
A. (-2, -5)
B.(2, -5)
C.(-2,5)
D. (2,5)

Answers

Answer:

x=-2 y=-5

Step-by-step explanation:

Other Questions
What do u call a pig that do karate ? What is the equation for the input-output table shown below?Just the numbers 2 and 3 please What type of immune response is a phagocyte eating the invaders Non-specific or specific , why? WILL GIVE 25 EXTRA POINTS !! is it yo nunca como la bananas or yo nunca como las bananas? help plzzzzzz!!!!!!! Guys I need help can someone solve for X plsssssss!??!? 35 degreee 2x-5 Please help me with this Place these numbers in order from least to greatest:16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8 Plz help its due in 5 min...Which table represents a direct proportion between the number of tickets sold and the total cost? please help whats the meaning of this part of Common Sense "Society is produced by our wants, and government bywickedness; the former promotes our happiness positivelyby uniting our affections, the latter negatively byrestraining our vices. The one encourages intercourse,the other creates distinctions. The first is a patron, the lasta punisher." Green, Inc., provides group term life insurance for all of its employees. The coverage equals twice the employee's annual salary. Sam, a vice president, worked all year for Green, Inc., and received $200,000 of coverage for the year at a cost to Green of $1,500. The Uniform Premiums (based on Sam's age) are $0.25 per month for $1,000 of protection. How much must Sam include in gross income this year From the fossils they uncovered, which was the most likely progression of environments in that area ? The following question is based on your reading of "Gulliver's Travels" by Jonathan Swift.Why does Gulliver turn away from his reflection? Anna received a gift card for $25 to an art store. The table shows the cost of the items.Item Cost ($)Bottle of Paint: 2.75Brush: 1.09Canvas: 7.99Easel: 18.99Palette: 4.50She bought a canvas, two brushes, and three bottles of paint. Which addition equation can be used to determine how much more money x Anna still has to spend?A)7.99 + (1.09) + (2.75) + x = 25B)7.99 + 3(1.09) + 2(2.75) + x = 25C)7.99 + 2(1.09) + 3(2.75) + x = 25D)7.99 + 2(1.09) + 3(2.75) + 25 = x describe two of the threats a explain their impact on biodiversity. what is 4 15/24 as a decimal A pharmaceutical company is developing a new oral medication for the treatment of psoriasis, a skin disease marked by red, itchy, scaly, patches. Describe how you could design a controlled experiment to test the effect of the medication. How could you keep participants from knowing whether or not they were in the treatment group? Describe Italian Fascism. Advise a friend who responds to conflict by using the strategies Avoidance and confrontation is not healthy for sustaining positive relationships The sum of 1 2 and 1 5 is between 1 2 and 1. YES OR NO?