Using the pattern, create an equation (rule) that describes this pattern.

Using The Pattern, Create An Equation (rule) That Describes This Pattern.

Answers

Answer 1

Answer:

a(n) = n² + 4n + 6

Step-by-step explanation:

Stage 1

9 + 2 = 3² + 2

Stage 2

16 + 2 = 4² + 2

Stage 3

25 + 2 = 5² + 2

Equation for stage n:

a(n) = (n + 2)² + 2 = n² + 4n + 4 + 2 = n² + 4n + 6

Related Questions

PLEASE HELP (algebra 1)
A sports store employee needs to decide how many soccer balls to put on display. The store manager wants the number of soccer balls on display to be at least two more than the number of basketballs on display. The
store employee represents this restriction as y2 + x, where x is the number of basketballs, and y is the number of soccer balls on display
Which of the following ordered pairs represent viable solutions in terms of the context? Select all that apply.
(4. 10)
(15, 18,5)
(14, 12)
(10, 12)
(-1,3)

Answers

Answer:

I think it's 15 18 and 5 or 14,12

The solution are (4, 10) and (10, 12).

What is inequality?

The phenomenon of unequal or unequal distribution of resources and opportunities among members of a given society is referred to as inequality. In different contexts and for different people, the concept of inequality may mean different things. In addition, there are distinct but interconnected economic, social, and spatial dimensions to inequality. The disjuncture between the moral ethics of equity and social justice, on the one hand, and the normative concept of "deservingness," on the other, adds complexity to debates about inequality.

Given equation of inequality for basket ball and soccer ball

y ≥ 2 + x

where  x is the number of basketballs, and y is the number of soccer balls on display,

situation says  the second number must be at least 2 more than the first number. Also, we are dealing with basket ball and soccer ball, so we won't have negative numbers (Choice E is out) or fractions (Choice B is out).

for choice A: x = 4 and y = 10 (10 is 6 more than 4)

for C: x = 14 and y = 12 (12 is 2 lee than 14 it is not correct)

for D: x= 10 and y = 12  (12 is 2 more than 10)

Hence the option A and D is correct representation for solutions.

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hi, pls help.
Why do Jews consider the Western Wall in Jerusalem a sacred place? *
1. It was built by King Solomon.
2. It was all that was left of the Second Temple after the Romans destroyed it.
3. It was the place where Abraham settled.
4. It was constructed with the stones that held the Ten Commandments.

Answers

Answer:

Hope that helps

Step-by-step explanation:

It was constructed with the stones that held the Ten Commandments.

Answer:

all that was left of the second temple after the roans destroyed it

Step-by-step explanation:

Determine the value of x for the following isosceles triangle.

Answers

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg [tex] = \tt \frac{x}{9} [/tex] inches

▪︎Measure of its base [tex] = \tt \frac{5}{2} [/tex] inches

Which means :

[tex] =\tt 6 = \frac{x}{9} [/tex]

[tex] =\tt \frac{6}{1} = \frac{x}{9} [/tex]

[tex] =\tt 6 \times 9 = x \times 1[/tex]

[tex]\hookrightarrow\color{plum}\tt 54 = x[/tex]

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

[tex] =\tt 6 = \frac{54}{9} [/tex]

[tex] = \tt6 = 6[/tex]

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of x = 54

Which of the following have 4 as the GREATEST common factor (GCF).

Select ALL that apply.
4 + 8y

4x + 40y - 400

24x - 16y

x - 4y + 16x

4 - 12x

Answers

Answer:

4-12

4+8y

I hope this helped.


The sum of the success rate and the failure rate should equal the total amount of trials.
True or False

Answers

Answer: True

Step-by-step explanation:

For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly.

can someone please help me? make it right..

Answers

Answer:

6.83and 7.03 this is the answer

Answer:

6.83, 6.93, 7.03, 7.13, 7.23, 7.33 always add .10 each time.

Step-by-step explanation:

Find the value of x so that the function has the given value.

q(x)=12x−3; q(x)=−4

Answers

Answer:

x = -1/12

Step-by-step explanation:

q(x) = 12x − 3

q(x) = −4

-4 = 12x − 3

12x - 3 = -4

12x = -4 + 3

12x = -1

x = -1/12

Someone help with this please

Answers

Answer:

The answer is the last one!

Step-by-step explanation:

x is the domain and y is the relation

-Sumin <3

Can someone help me PLEASE!!!!!!!!!!​

Answers

The second and third are incorrect

Answer:

1, 4, and 5

Step-by-step explanation:

18-2x5

18-10

8

6+4x4

6+16

22

6x9-9

54-9

45

7x9+1

63+1

64

4x6-6

24-6

18

The point Q has coordinates (2,3)
The point R has coordinates (a, b)
A line perpendicular to QR is given by the equation 5x + 2y = 9
Find an expression for b in terms of a. W

Answers

Answer:

b= (2a+11)/5

Step-by-step explanation:

5x + 2y = 9

2y=9-5x

y= 9/2 - 5x/2

slope, m1= -5/2

for perpendicularity, m1 × m2 = -1

slope for QR= m2=

[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]

m2 is 2/5

[tex]qr = \frac{b - 3}{a - 2} [/tex]

[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]

5(b-3)=2(a-2)

5b-15=2a-4

5b=2a-4+15

5b= 2a+11

[tex]b = \frac{2a + 11}{5} [/tex]

An expression for b in terms of a is b = (2a + 11)/5.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.

So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).

We know slope m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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In a final exam, need this rn (25 points)

Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:

2,020 − 22m

What does the coefficient of the expression represent?

a.The number of months Megan will wait to sell the gadget
b.The monthly depreciation value of the gadget
c. The amount of money Megan will get when she sells the gadget
d.The original value of the gadget

Answers

Answer: B

Step-by-step explanation:

Answer:

the answer to this question would be B

Order Numbers least to greatest -4.3, 5/4 ,8.2, -6/2, 4, -2.5, 5.33

Answers

-4.3,-6/2,-2.5,5/4,4,5.33,8.2

Which number line represents the solution set for the inequality - 1x24?
+
-10
-8
-6
-4
-2.
0
+
4
+
6
2.
+
8
10
+
+
-10
-8
-6
-4
+
0
+
4
-2
+
8
2
co
10
+
-10
+
-8
--6
-4
-2
0
2
4
6
8
10
+
-10
--8
-6
-4
-2.
O
2
4
6
8
10

Answers

Answer:

the second one is the answer

Help.me if u can need it

Answers

the correct answer answer 56

Answer:

78 is the correct answer hope it helps

Mai solved the equation below incorrectly. Identify Mai's error and then solve the equation correctly.
X-9) = {(x + 18)
3x - 3= kx +9
1
4
X-3=9
1
41
-x = 12
X = 48
What was Mai's error?

Answers

Answer: Please see explanation column for answer.

x= -36

Step-by-step explanation:

Step 1

from the attachment, Mai's solving is given as

1/3 (1/2x- 9) = 1/2 (x+18)

1/6x-3= 1/2x+9

1/4x-3=9

1/4x=12

x=48

Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.

Solving correctly, we have that

1/3(1/2x-9) = 1/2(x+18)

1/6x -3= 1/2x+ 9

taking like terms to like terms

1/6x-1/2x= 9+3

(1-3)/6x= 12

-2/6x= 12

-1/3x= 12

multiplying both sides by -3

-1/3x X -3 = 12 X -3

x= -36

What is the constant of proportionality? What does it represent?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.

Can anyone help me with this please

Answers

Answer:

its 34

Step-by-step explanation:

46

For the first two use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]15^2 + 36^2 = C^2(unknown)[/tex]

Calculate 15 x 15 + 36 x 36 = 1521

Now its

1525 = C^2

Fins the squeare root of 1521 whitch is 39

and square c^2 as well whitch make it C^1 or simple C

This give us a final anwser of the missing side

39 = C

Second triangle

For this the formual is different since we are not finding the lenght of the hypotunus (C), we know this becauee the missing angle is met my a 90 digree angle.

Here the equasion is  C^2 - A^2 = B^2

WE will it in again

15^2 - 9^2 = B^2

Calaulate 15 x 15 - 9 x 9 = 144

Now its 144 = B^2

Again we find the square root for each side

Square root of 144 is 12

and Square root of B^2 is Simpley B

We put in togethe to find the final anwser whitch is

12 = B

For the last two it is simple

All angles of a triangle added together must always equal 180 degrees

So it the two side are 75 and 32 we add them (75+32) to get 107

Now we just subtract that amount (107) form 180 to get the third missing angle. 180 - 107 = 73  

Here the missing angle is 73

One way to know if this is correct is to add all side and see if it equaels 180

75 + 32 + 73 = 180

For the second question it seems to be exactly the same as the first in the photo so the anwser would also be 73.

Hope this helps! :)

plz solve this (t+p)4

Answers

Answer:

4t+4p

Step-by-step explanation:

(t+)4
Use the distributive property to multiply t + p by 4
Answer:
4t + 4p

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages. How many text messages did his sister send?

Answers

Answer:The number of text messages sent by his sister=162

Step-by-step explanation:

Step 1

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9

Number of text messages sent by Lucas =72

Total ratio is given as 4+ 9= 13

Step 2

such that the total number of messages sent by Lucas and by his sister will be calculated as

Ratio of text messages sent by Lucas/  total ratio x Total messages  = Number of text messages sent by Lucas . Let X = Total number of messages  

4/13 x X = 72

X=72  x 13 / 4 =234

Therefore, The number of text messages sent by his sister= ratio of  text messages sent by his sister/ Total ratio x Total number of messages  =

9/13  X 234= 162 messages

I need help asap!!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

in order to find y, we need to find x.

180-65-62=53

x=53

we need to subtract 53-?=11

53-42=11

y=42

Answer:

42

Step-by-step explanation:

because the triangles are congruent, we can place the angle x in CDE to solve for it. Knowing the sum of all angles in a triangle is 180, we can set up the formula below.

62 + 65 + x = 180

Additionally, because the triangles are congruent, we know that the length of CD is equal to GH, letting us set up this formula:

x - y = 11

Solving the first formula, we now know the value of x, 53.

62 + 65 + 52 = 180

Plugging that into the second formula and solving, we get 42.

53 - 42 = 11

The cylindrical part of an architectural column has a height of 315 cm and a diameter of 30 cm. Find the volume of the cylindrical part of the column. Use 3.14 for n and round your answer to the nearest cubic centimeter if needed.​

Answers

Answer:

Your answer would be A. 222.548 cm^3

Step-by-step explanation: I did it on a p e x and got it right :)

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 135 doors. How many liters of paint are needed for 1 door?

Answers

bdveishvfkenwvshcoebw
1 and 1/4 liters is needed

plz help help meeeee​

Answers

Answer:

23

Step-by-step explanation:

remove your answer

what is the best lofi chill song for study

Answers

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

Subtract -5x^2+7x+1 from 8x^2+x-10
I will give brainleist

Answers

Answer:

3x² + 8x - 9

Step-by-step explanation:

8x² - 5x² +x+7x-10+1

=3x² + 8x - 9

(click photo) i’ve posted this 3 times and no ones helped me :((( PLEASE help me with 3-8. i’d really appreciate it. i’m the worst at math! :(

Answers

Answer:

5) Slope(m): 2

y-intercept(b): (0, 4)

6) Slope(m): -1

y-intercept (b): (0, -6)

7) Slope(m): 5

y-intercept (b): (0, 8)

8) Slope(m): 7

y-intercept (b): (0, 1/2)

Step-by-step explanation:

in order to find the slope and y-intercept you need to rewrite the equation in y=mx+b.

in 5, the equation is -2x+y=4. we need to add 2x to both sides to get y=2x+4. now you can find your slope (2) and your y-intercept point (0, 4)

in 6, the equation is x+y=6. we need to subtract x from to both sides so we get y=-x+6. you would get a slope of -1 and a y-intercept point of (0, 6)

in 7, the equation is -5x=8-y. we need to add 5x to both sides to get 0=8-y+5x. then add y to both sides so we get the equation y=5x+8. you have a slope of 5 and a y-intercept point of (0, 8)

in 8, the equation 0=1-2y+14x. we need to add 2y to both sides and we get 2y=14x+1. since we need y to stand alone we need to divide both sides by 2. now we have y=7x+1/2. the slope is 7 and the y-intercept point is (0, 1/2)

Hope this helps!! :)

yurrrrrrrr......................​

Answers

Answer:

1000000000000000000000+10000000000000000000000 :)

Step-by-step:

Answer:

A- ty for points-? And

Step-by-step explanation:

YURRRRRRRRRRRRRRRRRR

The volume of this sphere is 972 pi cubic inches. What is its radius?

A sphere.

Recall the formula Sphere Volume = four-thirds pi r cubed

Answers

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 972π in³

r³ = 729 in³

r = 9 in

The value of its radius is,

⇒ r = 6.14 inches

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The volume of this sphere is 972 pi cubic inches.

Now, We know that;

Volume of sphere is,

⇒ V = 4/3πr³

⇒ 972 = 4/3 × 3.14 × r³

⇒ 972 × 3 = 12.56 × r³

⇒ r³ = 232.16

⇒ r = ∛232.16

⇒ r = 6.14 inches

Thus, The value of its radius is,

⇒ r = 6.14 inches

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find the measure of angle A

Answers

Answer:

35 degrees

Step-by-step explanation:

Sum of angles inside a triangle is 180 degrees.

Right angle is 90 degrees.

180 = 90 + (x + 46) + (x + 66) = 2x + 202

x = -11

A = x + 46 = -11 + 46 = 35

Solve for Y

13= 4y+5

y=?

Please help this is my last question and it’s due by 10 PM
sorry there’s only 11 points •.•

Answers

13=4y+5
-4y+13=5
-4y=5-13
-4y= -8
y=2
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