n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Answers

Answer 1

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:


Related Questions

Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.

Answers

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year

Answers

Answer:

Step-by-step explanation:

Step one:

given data

Maya

P=$1650

r=5%= 0.05

t= 4 years

The simple interest expression is

A=P(1+rt)

A=1650(1+0.08*4)

A=1650(1+0.32)

A=1650(1.32)

A=1650*1.32

A=$2178

James

P=$1600

r=8%= 0.08

t=4years

The compound interest expression is

A=P(1+r)^t

A=1600(1+0.08)^4

A=1600(1.08)^4

A=1600*1.360

A=$2176

After 4 years Mayas' balance is $2178

After 4 years James' balance is $2176

the difference is =2178-2176=$2

what the slope of (15,9) (-10,3) ​​

Answers

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[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]

[tex]slope = \frac{6}{25} \\ [/tex]

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Answer:

The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].

Step-by-step explanation:

This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.

The members of a crew team can weigh no more than 165 pounds each. Write an INEQUALITY for the acceptable weights. Graph the solutions.

Answers

Answer:

shut up b

sorry gad will elp you

Step-by-step explanation:

No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?

Answers

Answer:

ejre' fe trerxto fno

Step-by-step explanation:

Plz help...kinda confused.....only answer if ya know....:)
-3=-v+7
v=​

Answers

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

[tex]-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}[/tex]

Hope this helps.

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

Which relation is a function?(click all that apply)

Answers

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.

Answers

Answer:

Angle of depression = 3.37°

Step-by-step explanation:

We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60

kilometers from the runway.

I've attached an image of a triangle depicting this question.

From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.

Thus;

3.5/60 = tan θ

tan θ = 0.0583

θ = tan^(-1) 0.0583

θ = 3.37°

Solve
12x - 4 = -3 +3

Answers

12x-4=-3+3
+4 +4
12x = 1+3
12x =4
/4 /4
x =1

Answer:

Exact answer: 1/3   Decimal Form : 0.3

Step-by-step explanation:

Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles

Answers

Answer:

B. 6 miles

Step-by-step explanation:

first you convert the hour and 12 minutes into only minutes

72 minutes

then you set up in a fraction

48/72 = x/9

then solve for x, if you use a calculator it will give you 6

2. Multiply and simplify: (x - 2)(2x + 3)
Answer

Answers

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

Answer:

2x^2-x-6

Step-by-step explanation:

use foil,

1) x*2x=2x^2

2) x*

majikalmochi avatar

i sent too early lol

2) x*3= 3x

majikalmochi avatar

3) -2*2x=-4x

4) -2*3=-6

majikalmochi avatar

now put that all together

2x^2+3x-4x-6

simplify

2x^2-x-6

Solve this equation.

23x−15x=x−1

Answers

Answer:

x = -1/7

Step-by-step explanation:

25x - 15x = x - 1

combine like terms

7x = -1

divide

x = -1/7

Answer:

x = -1/7 (the whole fraction is negative)

Step-by-step explanation:

23x−15x=x−1

8x = x - 1

8x - x = x - 1 - x

7x = -1

x = -1/7

X=-4y + 4
2x + 8y =8
How many solutions are there?

Answers

Answer:

One solution.

Step-by-step explanation:

Need Answer ASAP only 5 min

Answers

70 mb is the answer

Answer: 70

Step-by-step explanation:

1. Divide 528 by 264 to get 2

2. Do 2 times 35 to get 70

A dolphin was swimming 28 meters below the ocean's surface. It changed its depth to avoid a
predator and ended up 21 meters below the surface.
What was the change in the dolphin's depth?

Answers

Answer: 7 meters

Step by step explanation:

Now write an equation that represents the situation. You want to find the change in the dolphins depth, so subtract it’s beginning depth from its final depth.


Hope it helps!

The expression below can be written in simplest form as
4(2x-5)+7(x+2)

Answers

4(2x-5)+7(x+2)

bracket means multiplying

do 4(2x+5) first

4*2x=8x

4*-5=-20

7*x=7x

7*2=14

8x-20+7x+14

do the x first

8x+7x=15x

-20+14=-6

answers: 15x-6 or -6+15x

i had 50 candies yesterday, and now i have 35. find the percent of decrease

Answers

Answer: you lost 15 candies

Step-by-step explanation:

Answer:

30% is the decrease percent

PLZ HELP ASAP 30 POINTS!!! write the equation of the line in standard form and slope-interpret form.
standard form:
slope-interpret form:

Answers

standard form: 3x-y= -3
slope intercept: 3x + 3

POINTS plus will mark BRAINLIEST for the correct answer

Answers

Answer:

I believe the answer is 9

Step-by-step explanation:

The most balloons she has is 180 and she can make 20 animals with that so 180/20=9

The answer to your question is 9

PLEASE HELP!!Choose the slope and y-intercept that
correspond with the graph.

Answers

the answer is -1/3 y-incercept= -1

Answer:

The first one

Step-by-step explanation:

It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.

1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.​

Answers

Answer:

let the number be x

thrice of the number=3x

one-half of the number=(1/2)x

so from the expression we:

3x-x/2=2500

(6x-x)/2=2500

6x-x=2*2500

5x=5000

x=5000/5

x=1000

Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answers

Answer:

f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]

Step-by-step explanation:

Using the standard form of the exponential function

y = a [tex]b^{x}[/tex]

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a[tex]b^{0}[/tex] [

a = 0.5 , so

y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]

Using (1, 1) , then

1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus

b = 2

f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph


What is the slope of a line that is perpendicular to a line that has a slope of -7

Please help ya girl out :))

Answers

C. 1/7
The slope of a perpendicular line will be the opposite of the first slope given. So since the first slope is -7 then we make the negative positive and flip the numerator and denominator. So -7/1 will be 1/7

Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?

Answers

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

simplefy the equation

Answers

Answer:

i wish i could simply life.

Step-by-step explanation:

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

Qué procedimiento debe realizar para convertir kilómetros a mililitros

Answers

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

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