1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
13

Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw

ays a rational number, x+y EQ. (9.b) The sum of two irrational numbers x, y ER - Q is always an irrational number, x +y ER-Q. (9.c) The sum of the squares of two distinct real numbers x,y ER, with x #y, is always a positive real number, x2 + y2 ER and x2 + y2 > 0. (9.d) If a, b ER, then ab E R.
Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

You might be interested in
Ms. Ball is applying for a credit card. The one she wants to get has a 7% annual interest rate, compounded semiannually, and cha
jeka94

Answer:

I need points

Step-by-step explanation:

4 0
3 years ago
Given that f (x) = StartFraction 2 Over x squared EndFraction and g (x) = StartFraction 13 Over x squared EndFraction What is th
taurus [48]

The given functions of <em>f </em>and <em>g</em>, where;f(x) =  \frac{2}{ {x}^{2} }, g(x) =  \frac{13}{ {x}^{2} } gives the domain of the functions as the option;

a. All non zero real numbers

<h3>How can the domain of the functions be found?</h3>

The given functions are presented as follows;

f(x) =  \frac{2}{ {x}^{2} }

g(x) =  \frac{13}{ {x}^{2} }

The given functions have <em>x²</em> as the denominator, therefore;

The domain of the functions are the possible x-values, which gives;

x² = (-x)² = Positive number

At <em>x </em>= 0, we have;

f(x) =  \frac{2}{ {0}^{2} }  =  \infty

g(x) =  \frac{13}{ {0}^{2} }  =  \infty

The domain is therefore;

a. All non zero real numbers

Learn more about the domain and range of a function here:

brainly.com/question/2264373

#SPJ1

7 0
1 year ago
Label each remaining tick mark with its value.
Mashutka [201]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Carla drew a picture that was 7/10 of an inch long. Her picture was 0.67 inches wide. Which is greater, the length or width? exp
mr Goodwill [35]

Answer:

width

Step-by-step explanation:

7/10= 7 divided by 10= 0.7

and 0.67 id greater than 0.7

5 0
2 years ago
What is the volume of this cylinder?
dalvyx [7]

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: V=\pi r^{2} h, where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72 cubic meters

Hope this helps!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please you can help me with this problem. Thanks.
    8·1 answer
  • Does anyone know this? What degree is W?
    11·1 answer
  • what is the standard deviation of the following data? if necessary, round your answer to two decimal places. 100, 140, 130, 180,
    14·1 answer
  • What is .07 times 1.22
    10·1 answer
  • What is -2/3 to the power of -4 ?
    12·1 answer
  • Click to see the question
    6·2 answers
  • HELPPP PLSSS 8TH GRADE MATH!!!!!
    6·2 answers
  • Explain three key differences between index funds and mutual funds
    8·1 answer
  • Help Me On This!!<br><br><img src="https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20" id="TexFormula1" title=" \\ \\
    5·2 answers
  • A circle has a radius of 15 inches. What is the area, in square inches, of this circle?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!