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

the equation of line L1 is y-2x+5
the equation of line L2 is 2y-4x=6
show that the two liines are parralell

Answers

Answer:

y = 2x + 5

y = 2x + 6

Step-by-step explanation:

Just change the two equations into y = mx + b

Isolate the y variable to one side

help!!! I will give brainliest!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Slope = (y2-y1)/(x2-x1)
Pick points on graph
(0,2), (-2,5)
(5-2)/(-2-0) = 3/-2 = -3/2

please tell me the answer

Answers

Answer:

(3.5, 3) and (0,-4)

Step-by-step explanation:

Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)

The amusement park sells both adult and child tickets. 4 adult tickets are sold for every 9 child tickets. if the park sells 312 tickets, how many of each type of ticket was sold.​

Answers

216= child tickets
96= adult tickets

yeah so can u answer this​

Answers

Answer:

give me the points its c c c c c c cc c cc c c. c cc cccc c cc c cc

Answer:

B

Step-by-step explanation:

The two triangles formed by the flagpole and the man shown below are similar.

What is the height of the flagpole?
57 feet
51 feet
8.5 feet
42.5 feet

Answers

It’s gonna be 51 feet

joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!"     (he shot his friend)

joke 2. I wanted to be a democrat for halloween but i could not stick my head far enough up my a/s/s to be one.

brainliest for being funny?

Justin is cooking dinner this week for his grandparents. He bought 1.5 pounds of green beans and 0.5 pounds of mushrooms to make a casserole. Green beans cost $2.20 per pound, and mushrooms cost $3.50 per pound. How much money did Justin spend in all?

Answers

5.05? Not too sure though

Answer:

$5.05

Step-by-step explanation:

1.5*2.20 = 3.30

0.5*3.50 = 1.75

3.30 + 1.75 = 5.05

Solve plzzz ASAP due today

Answers

Answer:

#3- x=2.73

#4- x=8

Step-by-step explanation:

Answer: X = 3 / X = 8

Step-by-step explanation:

3. (Angles add up to 180)

30x + 4 + 86 = 180

30x + 90 = 180

subtract 90 from both sides

30x = 90

Now divide by 30

x = 3

Check your work ( input 3 to the equation)

30(3) + 4 + 84

90+ 90 = 180  it works :)  

4. (Angles are adjacent to each other so there equal)

10x - 3 = 77

add 3 to both sides

10x = 80

divide it by 10

x = 8

Check your work ( input 8 to the equation )

10(8) -3 = 77

80 - 3 = 77

77 = 77

PLZ HELP ASAP!!! Find the length of side a

Answers

Answer:

156

Step-by-step explanation:

you need to multiply

Answer:

a=6

Step-by-step explanation:

Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 10) degrees. At the intersection of lines b and f, the bottom left angle is (3 x minus 15) degrees. What is the value of x? 1 5 25 37

Answers

Answer:

The Answer would be C

Step-by-step explanation:

Answer: It is C. 25

Step-by-step explanation:

on edge 2020

please help me in this question​

Answers

Step-by-step explanation:

c)16 km

bcoz

3⅑ X 5⅐

=16km

Answer: (c) 16 kilometers

=========================================================

Work Shown:

Convert each mixed number to an improper fraction.

3 & 1/9 = 3 + 1/9

3 & 1/9 = 3*(9/9) + 1/9

3 & 1/9 = 27/9 + 1/9

3 & 1/9 = (27+1)/9

3 & 1/9 = 28/9

The car's average speed is 28/9 km per hour.

5 & 1/7 = 5 + 1/7

5 & 1/7 = 5*(7/7) + 1/7

5 & 1/7 = 35/7 + 1/7

5 & 1/7 = (35+1)/7

5 & 1/7 = 36/7

The time the car travels is 36/7 hours.

----------------------

We did the conversions so we can multiply the values easier.

Distance = Rate*Time

Distance = (28/9)*(36/7)

Distance = (28*36)/(9*7)

Distance = (4*7*9*4)/(9*7)

Distance = (4*4)/(1)

Distance = 16 kilometers

Find the vale of x and explain.

Answers

Answer:

x=37

Step-by-step explanation:

You know all the angles in a triangle add up to 180.

Therefore, you add 72° and 71° which equals 143.

Then you subtract 180 and 143 which equals 36.

[72+71=143

180-143=37]

I hope this helps you!

PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!

Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.

Taylor hits another driver and injures them severely.

The case goes to trial and there is a verdict to compensate the injured person for $40,000.

a) How much does Taylor have to pay?

b) How much does Taylor's insurance pay?

Answers

Answer: she will have to pay $500 and her insurances has to pay $40,000

Step-by-step explanation:

Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.

Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15

Answers

Answer:

A. 14x⁴ - 18x³ + 43x² + 24x - 15

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like TermsExpanding

Step-by-step explanation:

Step 1: Define expression

(7x + 5)(2x³ - 4x² + 9x - 3)

Step 2: Expand

Distribute 7x:                    14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5:                     14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms:        14x⁴ - 18x³ + 43x² + 24x - 15

Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?

2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi

Answers

Answer:

it would be 5:2

Step-by-step explanation:

none of these are equivalent to the ratio and 2:5 would be 2 to 5

Answer:

5:2

Step-by-step explanation:

Explain at least three ways of solving a quadratic equation in as much detail as you can. You may use an example if necessary​

Answers

Answer:

factoring, using the quadratic formula, and completing the square.

Step-by-step explanation:

8. Which expression is equivalent to -3(x + 10)?
F. 3x + 30 G. - 3x + 10 H. - 3x – 30
I. 3x – 30

Answers

Answer:

Answer is letter H

Step-by-step explanation:

hope that helps

-3(x + 10)

-3x-30

Help plss !!
I'm behind D': !!!!!

Answers

Answer:

is that math?

Step-by-step explanation:

Plz help btw the second one has the same options .

Answers

The first one (blue) reflect to pink one. So it’s reflect:)

Which set of transformations would prove ΔQRS ~ ΔUTS?

Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.
Reflect ΔUTS over y = 2, and translate ΔU′T′S′ by the rule (x − 2, y + 0).
Translate ΔUTS by the rule (x + 0, y + 6), and reflect ΔU′T′S′ over y = 6.
Translate ΔUTS by the rule (x − 2, y + 0), and reflect ΔU′T′S′ over y = 2.

Answers

Answer:

A

Step-by-step explanation:

The set of transformations would prove ΔQRS ~ ΔUTS is A. Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Firstly, we need the general rotation method (x,y) to (-y,x)

So; U (-4,-2) becomes U’ (2,-4)

T(-2,0) becomes T’(0,-2)

S(-2,-2) becomes S’ (2,-2)

The set of transformations would prove ΔQRS ~ ΔUTS are;

Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.

Thus, option A is correct.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ2

Please help!!!!

Describe two different ways to solve 8y + 22 = 2y – 12 and tell whether the two solutions will be the same.

(written response)

Answers

8y+22=y-12

First way:
—> subtract 2y and 22 from both sides to get 6y= -34
—> divide both sides to get 3y= -17
—> divide both sides by 3 to get y= -(17/3)

Second way:
—> add 12 to both sides and -8y from both sides to get -6y= 34
—> divide both sides by 2 to get -3y= 17
—> divide both sides by -3 to get y= -(17/3)

There are at least 2 other ways to solve this. This is just two ways. The solution will ALWAYS be the same if you have done it correctly. Y will always = to -(17/3)

J. D. is saving up to buy an ipad Pro. It is advertised on the web site for $799. He has $279 saved. To make money, he feeds his grandparents cats when they go away. His grandmother pays him $5.00 a day. How many days will he need to take care of his grandparents' cats in order to have enough money to buy the ipad? His parents said they will pay the sales tax. Define your variable​

Answers

Answer:

104 days

Step-by-step explanation:

799-279 = 520

520 \ 5 = 104

Can I just say that is equivalent to about 3 months?! J.D. really needs another source of income XD

Graph the system of inequalities . Which two quadrants does the solution lie in?

someone help a brotha out

Answers

Answer:

Quads 1 and 2

Step-by-step explanation:

Option A or quadrants 1 and 2 is the correct answer:)


NEED ANSWER ASAP

WILL MARK BRAINLIEST

What is the slope of the line given, f(0) = -5 and f(4) = 11?

Answers

Answer:

The slope is 4.

Step-by-step explanation:

We are given that f(0)=-5 and f(4)=11.

This means that we have the two points (0, -5) and (4, 11).

So, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, -5) be (x₁, y₁) and let (4, 11) be (x₂, y₂). Substitute appropriately:

[tex]m=\frac{11-(-5)}{4-0}[/tex]

Evaluate:

[tex]m=\frac{16}{4}=4[/tex]

Hence, the slope of the line given f(0)=-5 and f(4)=11 is 4.

Write the equation for a line containing the point (0,2) and a slope of -7 (y=mx+b)

Answers

Y = -7x + b
2 = 0 + b, b = 2
Y = -7x + 2

Answer:

[tex]y=-\frac{7}{1}x+2[/tex]

Step-by-step explanation:

The slope of -7=

[tex]-\frac{7}{1}[/tex]

so fractional slope is

[tex]y=mx+b[/tex]

Substituting slope into a fraction,

[tex]y=-\frac{7}{1} x+b[/tex]

Point is 0,2 so substitute in x and y.

[tex]2=-\frac{7}{1} (0)+b[/tex]

Solve the equation.

[tex]b=2[/tex]

So the equation for the line is

[tex]y=-\frac{7}{1}x+2[/tex]

Hope this helps :D

Find each number 60% of 45

Answers

Answer:

27

Step-by-step explanation:

[tex]60\%\ of\ 45\\=\frac{60}{100} *45\\=\frac{60}{20}*9\\=3*9\\=27[/tex]

Every morning for the past 12 days, Beth used Two-thirds of a cup of milk on her cereal. To determine how much milk she used in total, she set up the equation, Two-thirds times 12 = question mark ?. What is the total amount of milk that Beth used

Answers

Answer:

It would be 8

Step-by-step explanation:

Answer:

(c) 8 Cups

Step-by-step explanation:

How can we write 1.25+1.25 +1.25 as a multiplication, using words, and as a single number? Make sure you answer all three parts of this question.

Answers

Answer:

1) 1.25*3

2) 1.25 multiplied by 3

3) 3.75

Step-by-step explanation:

The table below represents Bree’s trip from her home to the library and back on her way to the library she travels at 6 mph on her way home she travels at 12 mph the total travel time is two hours which equation can be used to find the distance in miles from Bree’s House to the library

Answers

Answer:

A: x/6+x/12=2

Step-by-step explanation:

I'm pretty sure this is right

Answer:

A

Step-by-step explanation:

Convert 4/7 to 42nds

Answers

Answer:

24... I hoped dis helped.

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