All categories

3 years ago

Name the property. a + b is a real number.*

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

Answer:

$a + b = b + a \: \forall \: a, \: b \in \: \R \ \\ a \times b = b \times a\: \forall \: a, \: b \in \: \R \\ (a + b) + c = (b + c) + a\: \forall \: a, \: b, \: c, \in \R \\ (a \times b) \times c = (b \times c) \times a \: \forall \: a, \: b, \: c, \in \R \\a+0=0+a=0 \: \forall \: a,\in \: \R \\a +b=c\: \forall \: a, \: b, \: c, \in \R$

Sati [7]3 years ago

4 0

Answer:

Closure Property of Addition

Step-by-step explanation:

You might be interested in

5. (6 marks) Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2^2n+1 + 100.

Tju [1.3M]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

We will prove our base case, when n=4, to be true.

Base case:

$5^4=625\geq 612=2^{2*4+1}+100$

Inductive hypothesis:

Given a natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

$2^{2(n+1)+1}+100=2^{2n+1+2}+100=\\=4*2^{2n+1}+100\leq 4(2^{2n+1}+100)\leq 4*5^n$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural $n\geq4$ .

$5^n\geq 2^{2n+1}+100$

7 0

3 years ago

Can a triangle be made with side lengths of 1, 2, and 4 plsss

WINSTONCH [101]

NO IT CANNOT BE MADE

Step-by-step explanation:

Since, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

6 0

3 years ago

15)

Ludmilka [50]

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

8 0

3 years ago

A certain hurricane travels at 20.88km per hour. The distance from Cuba to Key West is 145km. Write and solve a multiplication e

Schach [20]

You can use the formula
speed=distance/time
20.88=145/x
x=145/20.88
x=6.9 hours -it will take 9 hours

6 0

4 years ago

Write five numbers that are eight digits long under expanded form

Dmitriy789 [7]

12345678, 87654321, 98765432, 23456789, 54789021
These are random numbers but are possible answers to the question

3 0

3 years ago

Read 2 more answers