n is a positive integer. (i) Explain why n(n - 1) must be an even number.

Answers

Answer 1

Answer:

Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number

Step-by-step explanation:


Related Questions

y=2x+5
solve for y and x

Answers

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

the figure below is a rhombus y = ?

Answers

Answer:

y = 28°

Step-by-step explanation:

The opposite angles of a rhombus are congruent.

The diagonal divides the rhombus into 2 isosceles triangles, as all sides are congruent.

Thus the triangle containing base angles y and w has vertex = 124°

Since the triangle is isosceles then the base angles are congruent , thus

y = [tex]\frac{180-124}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28°

Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

Answers

Answer:

10 +c=3

C=3-10

C=-7

.....

Answer:

c = -7

first, make the equation.

10 more than a number c is 3

the variable is c, according to the sentence.

c

"10 more than a number c"

c + 10

"10 more than a number c is 3 "

c + 10 = 3

now that you have your equation, time to solve it.

it's important to know that if you do something to an equation, as long as you do it to both sides the equation is still true.

for example.

2 + 2 = 4

if you add 1 to both sides of the equation,

2 + 2 + 1 = 4 + 1

5 = 5

this is still true.

Solving the equation.

c + 10 = 3

subtract 10 from both sides of the equation.

c + 10 - 10 = 3 - 10

c = 3 - 10

c = -7

Need help fast! Algebra

Answers

Answer:

5)y=2x   6)y=12x    7)y=3x-2    8)y=1/4x+2

Step-by-step explanation:

Look at the y-intercept first if crosses the origin then don't need to write anything. If it does you add it after the slope.

To find slope you can count how many units up or down it does and how many left or right.

Then write i as rise/run.

Hope this helps

Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.

Answers

Answer: 3x + x = 67To solve: 4x = 67                  /4.   /4x = 16.75

4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Together, Matthew and Daniel have 67 DVDs.

M+D=67

Let x represents the number of DVDs

Matthew's collection has 3 times as many DVDs as Daniel's collection.

M=3D

Now M=D=x

As Matthew and Daniel have 67 DVDs.

3x+x=67

4x=67

Hence, 4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

To learn more on Equation:

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2a(b + c) = d , Solve for b

Answers

Answer:

b=d/2a -c

Step-by-step explanation:

b+c=d/2a (Divide 2a on both sides to elimnate the 2a on the left side)

b=d/2a -c (Subtract c on both sides to elimnate the c on the left side)

Answer: b=d/2a -c

Hope this helps!

Round 27.977 to the nearest hundredth.
Answer

Answers

Answer:

27.98

Step-by-step explanation:

the second seven 27.9(7)7 is the hundreth place, so sense 7 is above five we round up to and eight, then get rid of the number after it

the answer is: 27.98 hope this helped !!

What is 8455 divided by 89?

Answers

Answer:

95

Step-by-step explanation:

8455/89 is 95

Sam decides to download some new music. She downloaded 3 albums and 10
singles, and her total was $61. The next day she purchased more music from the
same retailer and downloaded 6 more albums and 8 singles for a total of $74.
Assuming that all albums and singles are the same price, how much did she spend on
each album and each single? Write a system of equations to represent this
situation. Then solve for the solution using the elimination method.

Answers

Answer:

An album costs $7 while a single cost $4

Step-by-step explanation:

Let the amount spent on singles be $x while the amount spent on albums be $y

First day, she downloaded 3 albums and 10 singles that cost $61

Hence;

3y + 10x = 61 ••••••••(ii)

Second day, she downloaded 6 albums and 8 singles for $74

8x + 6y = 74 ••••••••(ii)

We now want to use elimination method to solve both equations

Multiply equation i by 2 and ii by i

20x + 6y = 122

8x + 6y = 74

Subtract ii from i now

12x = 48

x = 48/12

x = 4

Recall;

3y + 10x = 61

substitute for x

3y + 10(4) = 61

3y + 40 = 61

3y = 61-40

3y = 21

y = 21/3

y = 7

An album costs $7 while a single cost $4

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? (1 point)

The graph shifts 7 units left.
The graph shifts 5 units left.
The graph shifts 2 units up.
The graph shifts 3 units up.

Answers

Answer:

7 units leftjJakaKakoao

Answer:I thought it was 5 units up

Step-by-step explanation:

Someone help

Beth's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 88 sodas in all, 66 of which were regular. What percentage of the sodas were regular?

Answers

Answer:

75 Percent

Step-by-step explanation:

66/88 = .75, which equates to 75 percent.

Simplify (-6x4 - 5x3 + x2) + (4x2 + 6x4 - 4x3)

Answers

Answer:

-x2*(9x-5)

Step-by-step explanation:

If you need an explanation I will happily write it out for you

Answer:

-x2*(9x-5)

Step-by-step explanation:

alguma menina de 14 anos no tédio to querendo conhecer gente nova?

Answers

Answer:

Step-by-step explanation:

Oi eu tenho 15 anos

Answer:

OIE tudo bem?

eu tenho 15

What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
A) -1/3
B)-2/3
C)1/3
D)2/3

Answers

C 1/3
Y=mx+B, Mx representa slope so your answer is 1/3

Suppose each stock in Andre’s portfolio has a correlation coefficient of 0.40 (rho = 0.40) with each of the other stocks. The market’s average standard deviation is approximately 20%, and the weighted average of the risk of the individual securities in the partially diversified four-stock portfolio is 39%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.30 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio’s standard deviation?

Answers

Answer:

Explained below.

Step-by-step explanation:

The correlation coefficient for the portfolio with each of the other stocks is 0.40.

This correlation coefficient is less than 1. This implies that the portfolio’s assets are weakly correlated with each other.  

The portfolio profits from modification. Randomly selected stocks are added to the portfolio.  

The correlation coefficient of these stocks with the other stocks in the portfolio is about 0.30.  

Therefore adding these randomly selected stocks will decrease the portfolio’s standard deviation.  

Company-specific risk in portfolio can be reduced by this diversification but systematic or market risk can’t be eliminated. Thus the risk will (σ) decrease slowly until σp reaches to the average standard deviation of returns on the market i.e. about 20 %.

HELP ANYBODY IMMA DROP OUTTT


Question * In pic :D *

Answers

Answer:

The answer to this is 27/8 :)

3 ⅜

is (3×8 + 3) / 8

= (24+3) / 8

= 27/8

You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour

Answers

Answer:

u were paid 9 dollars an hour

Step-by-step explanation:

i need help on math

Answers

x=2
2x-3=-x+3

add three to both sides
add 1x to each side
should be left with 3x=6
divide both sides by 3 to get x alone
your answer then is x=2

Find 33,688 divided by 8.

Answers

4211
Pls mark me brainliest

Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary

Answers

2,400 is his semimonthly salary

d + 12 = 14 - 2d
Find d

Answers

Answer:

d = 2/3

Step-by-step explanation:

Answer:

I believe d=0.6666667 or 2/3

Step-by-step explanation:

d=2-2d

3d=2

d=0.66

Mark has $146 in his savings account. He withdraws $41, deposits $98, and then withdraws $64. Find the balance of his account.

What's the answer?

Answers

Answer:

$139

Step-by-step explanation:

subtract 41 from 146

=105

add 98

=203

subtract 64

=139

146 - 41 = 105
105 + 98 = 203
203 - 64 = 139

Mark Has A Balance Of $139.00 In His Savings Account.

I Hope This Helps! (^_^)


3x-(2x+4)
I need help

Answers

Answer:I think it is -18

Step-by-step explanation:sorry if I got it wrong

X will equal -4 hope this helps

A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.

Answers

Answer: C. It has reflectional symmetry with five lines of symmetry.

The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.

The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.

Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.

A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.

B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.

C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.

D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.

Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.

Learn more about reflectional symmetry here

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ANSWER PLSS algebra 1 and explain why

Answers

Answer:

y=-2x-100

Step-by-step explanation:

this is the only answer choice with a negative (decreasing) slope.  The temperature went down and the slope went down

Hope this helps!

B is the right answer

Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself? 3r = 3 r equals StartFraction 3 Over 8 EndFraction. 3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.R = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.R = 1

Answers

Answer:

3r + 3/8 = 1

r = 5/24

Step-by-step explanation:

Working together, sam and charlie can change all the light bulbs in the office building in 3 hours. it would have taken charlie 8 hours to do the job alone.which equation can be used to solve for the rate, r, for sam to change all the light bulbs in the office building by himself?

For the rate, r, for sam to change all the light bulbs in the office building by himself?

One job is involved

3r + 3/8 = 1

3r = 1 - 3/8

r = 1/3 - 3/8÷3

= 1/3 - 3/8 × 1/3

= 1/3 - 1/8

r = 1/3 - 1/8

r= 8-3/24

r = 5/24

B got it right on edge 2020

What is the solution to the system for. PLEASE HELP ASAP!

Answers

first choice, I'm positive

(2x−6)+4(x−3) i need help as fast as possible explain and answer pls

Answers

Answer:

6x-18

Step-by-step explanation:

(2x-6) + 4(x-3)

(2x-6) + (4x-12)

2x - 6 + 4x - 12

6x-18

Answer:

6x-18 (simplified)

Step-by-step explanation:

What is 7/8 minus 6 3/4

Answers

Answer:

(7/8) - (6 3/4) = -5.875

Solve the equation x/3– 9 = 11

Answers

Answer:

x=60

Step-by-step explanation:

(60/3)-9=11

20-9=11

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