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3 years ago

Which operations is the following set closed under: {2, 4, 6, ....}?

Mathematics

2 answers:

diamong [38]3 years ago

5 0

Multiplication
Hope that helps :)

GREYUIT [131]3 years ago

4 0

Answer: The answer is addition and multiplication.

Step-by-step explanation: Closure property states that - for any numbers 'a' and 'b' belonging to a set A, if a*b also belongs to set A, then set A is said to be closed under the operation *.

The given set is X={2, 4, 6, . . .}. Let us check for the mathematical operations one by one.

(i) Addition: The addition of two even numbers is again an even number, so the given set is closed under addition. For example - 2+4=6, 4+6=10, etc.

(ii) Subtraction: The subtraction of two even numbers is either 0, an even number or a negative even number. So, X is not closed under subtraction. For example- 2-2=0, 4-2=2, 4-8=-4, etc.

(iii) Multiplication: The multiplication of two even numbers is again an even number. So, the set X is closed under multiplication. For example- 2×4=8, 6×4=24, etc.

(iv) Division: The division of two even numbers may or may not be an even number. So, X is not closed under division. For ex- 2/6=1/3, 6/8=3/4, etc.

Thus, the given set is closed under addition and multiplication.

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A truck that can carry no more than 6600 lbs is being used to transport refrigerators and upright pianos. each refrigerator weig

ZanzabumX [31]

Answer:

(a). 300r + 425p ≤ 6,600

(b). No, it’s not considered overweight

Step-by-step explanation:

In this question, we are to write an equation that shows the number of refrigerators and pianos the truck could carry.

Let the number of refrigerators be r and the number of pianos be p

By using their individual weights, the equation is as follows;

300r + 425p ≤ 6,600

To the second question, we want to consider if 10 refrigerators and 8 pianos are overload.

To get this, we simply multiply the number of each by their individual weights;

That would be;

300(10) + 425(8) = 3000 + 3,400 = 6,400 lbs

This is not considered overweight as it is less than 6,600 lbs

6 0

4 years ago

Fraction - Subtrction : 15 5/11 - 7 3/12

GrogVix [38]

Answer:

$= 8 \frac{27}{132} = 8\frac{9}{44}\\$

Step-by-step explanation:

$15 \frac{5}{11} - 7 \frac{3}{12} \\ \frac{170}{11} - \frac{87}{12} \\ \frac{2040 - 957}{132} \\ = \frac{1083}{132} \\ = 8 \frac{27}{132}$

hope this helps

brainliest appreciated

good luck! have a nice day!

5 0

3 years ago

Read 2 more answers

Hello! I really need help for numbers 14-16. Please help me.

tatyana61 [14]

Answer:

14: T=(0.75,-1) U=(0.75,1.25) V=(-0.75,1.25)

15: W=(-0.75,-1)

16: The error is that if something lies on the X Axis, it has a Y Value of 0.

4 0

3 years ago

Read 2 more answers

Identify the relative maximum value of g(x) for the function shown below g(x) = 2/ x^2 +3

Dahasolnce [82]

Answer:

The relative maximum value is $\frac{2}{3}$

Step-by-step explanation:

The given function is

$g(x)=\frac{2}{x^2+3}$

We differentiate to obtain;

$g'(x)=-\frac{4x}{(x^2+3)^2}$

At turning points $g'(x)=-\frac{4x}{(x^2+3)^2}=0$

$\implies x=0$

$g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}$

We apply the second derivative test to obtain:

$g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}$

Since the second derivative is negative, there is a relative maximum at x=0.

We substitute x=0 into the original function to obtain the relative maximum value.

$g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}$

7 0

3 years ago

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What is the simplified version of -4(8r + 3)

Whitepunk [10]

Answer:

-8-3

Step-by-step explanation:

-4(8r+3)

-32r-12

divide both sides by 4

-8-3

5 0

3 years ago

Read 2 more answers