Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)

Answers

Answer 1

Answer:

This question is asking us to solve both of these equations, so let's do exactly that!

First equation:

[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]

Second Equation:

[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]

Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).

Hope that helped! :)


Related Questions

Please I could use some help!
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?

Answers

Answer:

the year is 2016

Step-by-step explanation:

The computation is shown below:

Given that

The population in 2009 is 45.1 million

And it would be increased 2.3% each year

So,

In the year 2010 it is = 45.1 million × (1 + 0.023) = $46.14 million

In the year 2011, it is = $46.14 million × (1 + 0.023) =$47.20 million

In the year 2012, it is = $47.20 million × (1 + 0.023) = $48.29 million

In the year 2013, it is = $48.29 million × (1 + 0.023) = $49.40 million

In the year 2014, it is = $49.40 million × (1 + 0.023) = $50.54 million

In the year 2015, it is = $50.54 million × (1 + 0.023) = $51.70 million

In the year 2016, it is = $51.70 million × (1 + 0.023) = $52.89 million

Hence, the year is 2016

Write your answer with no space and any fraction with “/“

Answers

Answer:

y + 3 = -½(x - 1)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a), where,

m = slope, and (a, b) is a point the line passes through.

Given that the line is perpendicular to the y = 2x - 1, the slope (m) will be the negative reciprocal of 2, which is -½.

Thus, substitute m = -½, a = 1, and b = -3 into y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much

Answers

Answer:

76˚

Step-by-step explanation:

All angles of a triangle total up to 180˚ so we can make this equation:

x - 14 + 1/2x + 7 + 2x - 128 = 180

3.5x - 135 = 180

3.5x = 315

x = 90

Angle A is x - 14

90 - 14

76

whoever gets it correct - i will mark their answer as a brainliest!

Answers

Answer:

9a - 8a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3a - 2a = 1a or a

a * 4a = 4a

4a + 6a = 10a

(7^8)^2 =7^ ? please help hehe

Answers

Answer:

16

Step-by-step explanation:

Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

Answers

Given:  1) weight of Dylan= 45 pounds

            2) weight of Alan= 3 pounds more than twice the weight of Dylan

            3)weight of Bruce = 12 pounds less than three times the weight of

                                               Dylan.

To Find: How much more does Bruce weighs than Alan .

Solution:

weight of Dylan= 45 pounds

weight of Alan= 3 pounds more than twice the weight of Dylan

                        = 3 + ( 2×45)  pounds

                        = (3+ 90) pounds

                        = 93 pounds  

weight of Bruce= 12 pounds less than three times the weight of Dylan

                          = (3× 45) - 12  pounds

                          = (135) - 12 pounds

                          = 123 pounds

therefore, the amount by which Bruce weighs more than Alan will be given by:

weight of Bruce - weight of Alan

= 123 pounds - 93 pounds

= 30 pounds

Hence, Bruce weighs 30 pounds more than Alan.

Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales. Write an expression to represent his total compensation and calculate how much his total compensation was.

.4(600+s); $6,240
600+.04s; $1200
.04(600+s); $624
600+.4s; $6,600

Answers

Answer:

Total compensation = 600 + 0.04 * s  and a total last month of $1200

(which agrees with the second answer shown in the provided list)

Step-by-step explanation:

Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:

Total compensation = 600 + 0.04 * s

and since last month he brought $15000 in sales, he got from sales:

0.04 * 15000 = $600

which added to the base salary gives:

$600 + $600 = $1200

Write the improper fraction as a mixed number in simplest form.
25/3 =
Can someone help me rq

Answers

Answer: The answer is 8 1/3

I hope this helps

Step-by-step explanation:

Answer:

the answer for your question is 8 1/3

Leslie and her friend eat lunch at a restaurant.
To determine how much money to leave as a tip, she multiplies the bill by 0.18.
How much money should she leave as a tip if the bill is $25?

A. $6.25
B. $5.00
C. $4.50
D. $3.70

Answers

Problem:

Leslie and her friend eat lunch at a restaurant.

To determine how much money to leave as a tip, she multiplies the bill by 0.18.

How much money should she leave as a tip if the bill is $25?

A. $6.25

B. $5.00

C. $4.50

D. $3.70

Solution:

[tex]25 \times 0.18[/tex]

[tex] = 4.5[/tex]

Answer:

C. $4.50

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

Find the ratio of lengths 3 meters to 6 cm

Answers

Step-by-step explanation:

Convert metre to centimetre

Recall: 1m = 100cm

That means,

3m = 3 * 100cm = 300cm

Now we compare them since they have the same unit.

300cm : 6cm

50 : 1

Answer = 50 : 1

Drag the integers to substitute for the variables in the
given expression, then simplify.
5(r - s)
r= 9 s= 1
5(
If r= 9 and s = 1, then 5(r-S) =

Answers

Answer/Step-by-step explanation:

Given:

5(r - s)

r = 9

s = 1

Required:

Evaluate and simplify

Solution:

5(r - s)

Plug in the values of r and s

5(9 - 1)

= 5(8)

= 40

8-5x =2x + 20
Simplify
I’ll give brainliest

Answers

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

Answer/Step-by-step explanation:

Rearrange terms

8 − 5 = 2 + 2 0 − 5 + 8 = 2 + 2 0

Subtract 8 from both sides of the equation − 5 + 8 = 2 + 2 0 − 5 + 8 − 8 = 2 + 2 0 − 8SimplifySubtract the numbers

− 5 = 2 + 1 2

Subtract 2 2x 2x from both sides of the equation − 5 = 2 + 1 2 − 5 − 2 = 2 + 1 2 − 2xSimplify Combine like terms

− 7 = 1 2

Divide both sides of the equation by the same term

− 7 = 1 2 − 7 − 7 = 1 2 − 7

Simplify Cancel terms that are in both the numerator and denominator Divide the numbers

= − 1 2 7

=]

f=2(3-5g) make g the subject​

Answers

Answer:

The function 'f' in terms of 'g'

 [tex]g = \frac{3}{5}-\frac{f}{10}[/tex]

Step-by-step explanation:

Explanation:-

Given function   f = 2 (3-5g)

                         f = 6 - 10 g

                       10g = 6 - f

                     ⇒ [tex]g = \frac{6-f}{10}[/tex]

                   [tex]g = \frac{6}{10}-\frac{f}{10}[/tex]

                  [tex]g = \frac{3}{5}-\frac{f}{10}[/tex]

Write a numerical expression for the word expression. 100 decreased by 77

Answers

Answer:

100-77

Step-by-step explanation:

Susan subscribed to a video game rental service. She pays the same amount for each video game she rents plus a monthly fee to subscribe to the service. The cost for different numbers of
video game rentals are shown in the graph.

What is the monthly fee and the cost per video game that stsan pays
use the rental service?
A. $1.25 monthly fee and
$ 6.00 per video game

B. $1.25 monthly fee and $7.00 per video game

C. $6.00 monthly fee and $1.25 per video game

D. $6.00 monthly fee and $7.00 per video game

Answers

Answer:

C-$6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

The monthly fee and the cost per video game that Susan pays

use the rental service is C. $6.00 monthly fee and $1.25 per video game.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

From the graph the two pair of points are (0, 6) and (8, 16).

So, slope(m) = (16 - 6)/(8 - 0).

slope(m) = 10/8.

slope(m) = 5/4.

slope(m) = 1.25.

So, The monthly subscription fee is $1.25.

Now, Cost of one video game can be obtained by equation y = mx + b.

6 = 1.25(0) + b.

b = 6, so the cost of per video game is $6.

learn more about slopes here :

https://brainly.com/question/3605446

#SPJ6

Can someone help me on this

Answers

Answer:

Step-by-step explanation:

I don’t get it too

Which of The following system of equations is solved, what would be the value of the Y coordinate?

3x + 4y = 7
6x - 4y = 38

A)5
B)-5
C)2
D)-2

Answers

The answer would be D) -2
Answer is (-2) i hope just cheak it

Solve the absolute value equation, if possible. If there is no solution, explain why.
| 5x + 10| = -7

Thank you!

Answers

Answer:

the equation | 5x + 10| = -7 has no solution for x ∈ R.

Step-by-step explanation:

Given the absolute value equation

| 5x + 10| = -7

We know that absolute value is always positive.

Reason:

The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.

Conclusion:

Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.

Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box.​

Answers

Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

4 shirts for every 3 pairs of pants
write as a rate​

Answers

I would say 4:3 but I may be wrong

Hope this helps

Have a great day/night

Write an equation in slope intercept form for the line with slope -2/3 and y intercept 8

Answers

Answer:

y=-2/3x+8

Step-by-step explanation:

Find the value of x in the triangle shown

Answers

Answer:

Step-by-step explanation:

3² + 5² = 34

√34 ≅ 5.83

jesse bought a car for 2,200,000 he sold for a 20% profit from the money raised from the sale he bought another more expensive car which unfortunately he had to sell for a 10% loss that was his overall profit or loss​

Answers

Answer:1,76,000 Profit

Step-by-step explanation:

Given

Jesse initially bought the car for 2,200,000 and sold it for 20 %

S.P.=C.P.(1+Profit%)

so, the Selling price of the car is S.P.=[tex]2,200,000\times 1.2=2,640,000[/tex]

profit=2,640,000-2,200,000=4,40,000

After this, he bought another car and sells it for a 10 % loss

So, the selling price of the car is [tex]2,640,000\times 0.9=2,376,000[/tex]

loss=2,640,000-2,376,000=2,64,000

Net Profit or loss=4,40,000-2,64,000=1,76,000 Profit

Luis is taking out a car loan for $5,000. He plans on paying off the car loan in 2 years. At the end of 2 years, Luis will have paid $300 in interest. What is the simple interest rate on the car loan?

Answers

Answer:

3%

Step-by-step explanation:

A gardener uses 4 plots of land to plant 5 fruit trees each. On each of the fruit trees, there are 3
pieces of fruit. If the gardener picks 17 fruits in total, how many pieces of fruit are there left on the
land?

Answers

I’m pretty sure the answer is 43

sophie swims 10 miles in each practice session. How long did her practice take the day she was swimming with an average speed of three times slower than m miles per hour

Answers

How long is a practice session

HELP WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

Step-by-step explanation:


Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 75 miles per hour. The eastbound train
travels at 85 miles per hour. How long will it take for the two trains to be 256 miles apart?

Answers

Answer:

1.6 hours

Step-by-step explanation:

The two trains will be (75+85)=160 miles apart after each hour.

Therefore the time taken for the trains to be 256 miles apart would be 256/160 hours = 1.6 hours.

1. Based on data collected over several sessions, a statistically minded trainer of office typists modeled the linzoom in

between the number of hours of training a typist receives and the typist's speed (in words per minute) with the equauon

speed = 10.3 +5.4(hour). After some training, one of the typists was told that the speed he attained had a residual of 4.2

words per minute. How should he interpret this?

Choose the correct answer below.

1

A. He cannot interpret his residual without also knowing the correlation.

B. He cannot interpret his residual without also knowing the size of other people's residuals.

C. He types slower than the model predicted, given the amount of time he spent training.

D. He types faster than the model predicted, given the amount of time he spent training.

Answers

Answer:

Statement D is correct.

Step-by-step explanation:

Solution:

Data Given:

Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)

Linear Regression Relationship = y = mx + c

Here,

m = slope = 5.4

c = 10.3 = y - intercept

The correct Answer is D)

Because:

As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.

Hence, Statement D is correct.

file:///var/mobile/Library/SMS/Attachments/c9/09/EDD6F50C-2A7A-4356-A142-874DDEA82BE9/63296923268__4EF12089-C66E-406A-B933-ADD5A94C0876.heic

Answers

?”””?”?””””?????? What is that
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