Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3

Answers

Answer 1

Let 3n + 1 denote the "number" in question. The claim is that

(3n + 1)² = 3m + 1

for some integer m.

Now,

(3n + 1)² = (3n)² + 2 (3n) + 1²

… = 9n² + 6n + 1

… = 3n (3n + 2) + 1

… = 3m + 1

where we take m = n (3n + 2).


Related Questions

If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:

A)

4x2 – 4x + 4


B)

4x2 + 4x + 4


C)

4x2 + 4x – 4

D)

4x2 – 4x – 4

Answers

Answer:

B)

4x2 + 4x + 4 may be right answer

If BD bisects ∠ABC, find each value

Answers

Answer:

x=14

y=10

AD=19

CD=19

Step-by-step explanation:

x:

5x-6=64

   +6   +6

5x=70

x=14

y:

3y-11=y+9

   +11    +11

3y=y+20

-y   -y

2y=20

y=10

AD:

3y-11

3(10)-11

30-11

19

CD:

y+9

(10)+9

19

(2x-4)+(5x-13)+(x+4)

Answers

Answer:

the answer is going to be 8x-13

Answer:

8x-13

Step-by-step explanation:

Combine all like terms

2x+5x+x=8x

-4-13+4=-13

8x-13

Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?

Answers

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

16.05 is the correct answer to this

A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120

Answers

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answers

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?

Answers

Answer:

Slope Intercept Form

Step-by-step explanation:

its the basics

The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)

Answers

Answer:

C. 5d - 5 = 5-5d

Step-by-step explanation:

The answer is B. 5b-5 = -5+5b

Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?

A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities

Answers

Answer:

The correct answer is C. Renovation and Maintencance costs

Step-by-step explanation:

#Plato :)

The major cost of her investment would be C. Renovation and Maintencance costs.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.

The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.

Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.

The major cost of her investment would be C. Renovation and Maintencance costs.

Learn more about tax here:

brainly.com/question/10798743

#SPJ5

Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.

Answers

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
12
Gel.

Answers

Answer:

50/50

Step-by-step explanation:

Help me please and I’ll give you a Brainly star!

Answers

The answer is : 45 degrees

What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE

Answers

I think it is a 2 digit number

The difference between the x-coordinate of point A and the x-coordinate of point B is -9

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,

the point B: (14,4)

and Point A: (5,4).

The x coordinate of B is 14 while that of A is 5.

so, we get,

if the difference is x units,

then it can be expressed as equation,

x = 5 - 14

now,

The difference between the x-coordinate of point A and the x-coordinate of point B is

= 5 - 14

= -9

Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9

Find out more on equation at:

brainly.com/question/2972832

#SPJ7

Complete question:

Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?

If fx) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).

Answers

(f-g)(x) = -3x - 5 - 4x + 2 = -7x -3

What would be the correct order of operations to evaluate the following expression?

Multiply, Multiply, Add, Subtract

Multiply, Add, Subtract, Subtract

Multiply, Subtract, Add, Add

Multiply, Subtract, Add, Subtract​

Answers

Answer:

d or 4Step-by-step explanation:

Answer:

Multiply,Subtract,Add,Subtract

Step-by-step explanation: Easy, just think

PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST

Answers

Answer:

4. C: 98 degrees because the angles are consecutive angles

5. E: None of the above

Explanation: 102 degrees because the angles are corresponding angles

6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.

Step-by-step explanation:

Answer:

4. C, 5. E, 6. C

Step-by-step explanation:

4.

Angles x and 82 degrees are supplementary (add up to 180).

x = 180 - 82 = 98

These angles are consecutive interior angles (they're on the inside).

5.

Angles x and 102 degrees are the exact same.

These angles are corresponding angles. So it's none of these, not vertical or alternate interior.

6.

103 degrees is vertical to <b and <b is corresponding to <x.

Hope this helps!

Given the expression m - 5w + 3m +4n + 2w, Jeriche rewrote it as 4m - 3w + 4n while John rewrote it as 8mn - 3w Who is operatorname correct? What did the other do wrong?

Answers

Answer:

eJeriche is correct, the answer is 4m - 3w + 4n, John didn't collect the like terms correctly

Step-by-step explanation:

Answer: 4m - 3w + 4n - this is the right decision.

Step-by-step explanation:

m - 5w + 3m + 4n + 2w = m + 3m - 5w + 2w + 4n = 4m - 3w + 4n

Jericho wrote correctly, and John - not.

John put together various variables n and m, which is not allowed.

It's for middle School PLZZZZ HELPPPP.
Lauren and her brother are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.

How much will Lauren and her brother pay for the watch including tax? How much will each sibling pay if they split the cost equally?

Answers

Answer:

$20

Step-by-step explanation:

To find out sale

50 x .25 = 12.5

To find out tax

37.5 x .06 = 2.25

Then final price

37.5 + 2.25 = 39.75

If they spilt price

$19.88

Answer:

1. $37.5 without tax

2. Split bill with tax: $19.88

3. Split bill withput tax: $18.25

Step-by-step explanation:

Make an equation first.

y=.25 (50)

This would help solve the amount for the discpunt sale.

The discout is $12.5 off.

50-12.5=37.5

Now we have tp solve for the tax amount.

y=0.06 (37.5)

y=2.25

2.25 is the tax amount.

We have to add these all together to get the answer for part 1.

37.5+2.25= $39.75

HELP I’m being timed!!

Answers

Answer:

A 1/4

Step-by-step explanation:

Answer:

A. There is a 1/4 chance.

Step-by-step explanation:

There are 8 outcomes if a coin is flipped 3 times.

Of these, 4 start with tails.

Since 4 is the denominator here, C (3/8) is out.

Also 4 doesn't have 3 as a factor, so B (1/3) is also out.

After the tails flip, two heads follow.

That's one of four of the combinations starting with tails (THH, THT, TTH, TTT, so D is out, leaving A as our answer! (We would need two for A to work)

Chose the ratio that forms a proportion with the ratio 3/8?​

Answers

Answer:

well i donk know

so but just trying to get points

The following inequality has a solution in the form X > A. Solve the inequality and place the correct value of A into the box.

-17x - 10 > 7 - 20x

Answer: x > ______
Enter your answer as an integer or a reduced fraction in the form A/B.

Answers

It is the answer 20 x of that

which ratio is equivalent to 4:5

10/15
4/10
16/20
15/8​

Answers

Answer:

16/20

Step-by-step explanation:

16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5

Answer: 16/20

Explanation: I just know

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

$4x-5$ is less than 25$

AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B

Answers

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

Refer to the diagram shown.
35°
25
t
DE
M
4
N
R
6
Q
What is m 2 MNT?
m2 MNT =

Answers

Answer:

what subject?

Step-by-step explanation:

The measure of <MNT = 142.17

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

PR= 6+ 4= 10 unit

So, using trigonometry

tan 25 = PT/ PR

0.466 = PT / 10

PT= 4.66 unit

Now, In ΔNPT

tan <TNP = P/ B

tan <TNP =  4.66/6

tan <TNP = 0.7766

<TNP = 37.83

Now, <MNT + <TNP = 180 {Linear pair}

<MNT = 142.17

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Graph the following inequality and then select the correct graph below.
x+y<1

Answers

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?

Answers

Answer: 37 times 3 is 111. So there are 111 junior at that school.

1/3 times the # = the answer.

x + 6 >10 or 3x + 11 ≤ −7

Answers

Answer:

x>4 or x≤-6

Step-by-step explanation:

x+6>10 or 3x+11≤-7

x>4 or 3x≤-18

x>4 or x≤-6

can someone help me please, i’ll give brainly. (10 points)

Answers

Answer:

Gradient of Line A: 0.75

Gradient of Line B: 0.8

Therefore the lines ARE NOT parallel.

Step-by-step explanation:

Find the gradient (slope) of line A and B respectively.

Line A Gradient:

Equation of line A is 3x - 4y = 5

Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).

Thus,

3x - 4y - 3x = -3x + 5

-4y = -3x + 5

Divide both sides by -4

y = ¾x + ⁵/4

The gradient = ¾ = 0.75

Line B Gradient:

Gradient of line passing through (4, 7) and (-1, 3)

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]

Gradient (m) = ⅘ = 0.8

Since both lines do not have the same gradient, therefore the lines are not parallel.

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

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