Determine which value best represents each point on the number line below?

Which statements are true?<br>(look at picture)

Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

A

$n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)$

this is <u>not</u> an odd number

B

$n(n-1)=(2a+1)2a$

this is <u>not</u> an odd number

C

$(n-1)^2=(2a+1-1)^2=4a^2$

this is <u>not</u> an odd number

D

$n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1$

so this is an odd number

E

$n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1$

so this is an odd number

F

$(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1$

this is an odd number

hope this helps

7 0

3 years ago

Factor −1/9 out of −1/9x−3.

Zanzabum

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

3 0

3 years ago

HELP ASAP! Which of the following tables represents a linear function?

____ [38]

Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2)) (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2)) (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3) (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0) (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

5 0

1 year ago

Juan y Andrés son adultos mayores y maratonistas. Hoy participaron en la maratón internacional de los Andes.El locutor que cubre

Ira Lisetskai [31]

Answer:

3 hours 8 seconds

Step-by-step explanation:

Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.

It is given that,

Juan had finished the race with a time of 3¾ hours.

He takes ⅔ of hours more than Andrés.

We need to find how long did Andrés finish the marathon.

Time taken by Juan = $\dfrac{15}{4}$ hours