-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence

Answers

Answer 1

Answer:

[tex]n^2 -3n - 6[/tex]

Step-by-step explanation:

Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).

Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).

Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .

If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.

n = 1, 2, 3

x = -8, -8, -6

[tex]n^2[/tex] = 1, 4, 9

Work out the difference between [tex]n^2[/tex] and x:

1 - -8 = 9

4 - -8 = 12

9 - -6 = 15

This gives you yet another linear sequence, 9, 12, 15.

Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.

Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].

This gives [tex]n^2[/tex] - (3n+6), so the final answer is:

[tex]n^2[/tex] - 3n - 6.

-8-8-6-2 4 12 22What Is The Nth Term Rule Of The Quadratic Sequence

Related Questions

Please take a look at the picture

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔

[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]

A. [tex]x - ( - x) = -x[/tex]

Let us first solve for L. H. S.

We have,

[tex]x - ( - x)[/tex]

[tex] = x + x[/tex]

[tex] = 2x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option A is incorrect.

B. [tex]0 - ( - x) = - x[/tex]

Solving for L.H.S. , we have

[tex] = 0 - ( - x)[/tex]

[tex] = + x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option B is ruled out too.

Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].

Who is the general information of accounting

Answers

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Order the following numbers from least to greatest: -5.6, -1.25, -7.8,9

Answers

-7.8,-5.6,-1.25,9

Hope this helped!! :)

helpppp pleaseeeee✋​

Answers

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

Pre college need help

Answers

Answer:

No

Step-by-step explanation:

Substituting into both equations proves that the second equation does not work for the ordered pair provided

Answer:

No

Step-by-step explanation:

2+(-5)=3

4(2)+3(-5)=-7

A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?

Answers

Answer:

66

forty-four times 1.5 equals 66

Factorise
x2 + 11x + 28

Answers

Answer:

[tex]\huge\boxed{(x+7)(x+4)}[/tex]

Step-by-step explanation:

To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28).  Discard the x and you are left with 11 and 28.  

To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7.  Then, simply use those two numbers to make the terms.

Hope it helps :) and let me know if you want me to elaborate.

the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k

Answers

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.

For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?

Answers

Answer:

proportion of ratio will be used

Answer:

C. 1 4/10 + 9/10 + 6/10

got it right

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

first one is 42
second is 24
Third is 12

Answer:

1 is 12

2 is 106

3 is 42

Step-by-step explanation:

1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12

2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106

3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42

Plz help I need help

Answers

Answer :

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

Answer:

x - 23 = -22

x= -45

Step-by-step explanation:

x - 23 = -22

x = -22 - 23

x = -(22+23)

x = -45

What are the solutions of x2 - 2x + 10 = 0 ?

Answers

Answer:

Step-by-step explanation:

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

1

0

=

0

x

2

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

2

b

=

2

b=−2

=

1

0

c

=

10

c=10

=

(

2

)

±

(

2

)

2

4

1

1

0

2

1

x

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

Help me pls it's hard :(

Answers

Answer:

[tex]\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}[/tex]

hitsss

One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10

Answers

Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

Explanation:-

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of s of a =180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

What is 10 1/2 divided by 2 1/4

Answers

Answer:

14/3 or 4 2/3

Step-by-step explanation:

10 1/2 => 21/2

2 1/4 => 9/4

21/2 divided by 9/4

(Keep, Change, Flip)

21/2 * 9/4

Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.

7/1 *2/3 = 14/3 = 4 2/3

what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)

Answers

Answer:

  -9

Step-by-step explanation:

  2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)

  2.6×10^-2 = 2.6×10^(7-n)

The mantissas are equal, so we can equate the exponents:

  -2 = 7 -n

  n = 7 +2 = 9 . . . . . . add n+2

The value of n in the equation is 9.

The Bruce family set out 8 0’clock in the morning. They arrived at the old port of Ambertini at 09:05. How long their journey took?

pls

Answers

Answer:

1hr 5 minutes

Step-by-step explanation:

9hrs 5mins-8 hrs=1 hr 5 mins

mark me brainliest plz if you are helped

Simplify (3x-9) / (x^2-x-6)

Answers

The answer is:

3
———
X+2

In a school there are 200 boys and 800 girls. Find the percentage of girls in that school.

Answers

Answer:

80% girls.

Step-by-step explanation:

20% boy.

80%+20%= 100%

-
What are the odds of winning a game, if the probability of winning the game is 4/10

Answers

Answer:

40%

Step-by-step explanation:

4/10 = 40/100

40/100 as a percentage is 40%

& Cassandra took 87 pads from Louie. Louie now only has 15 left. Mr. Flynn doesn't like ipads.
How many did Louie have BEFORE Cassandra took some?

Answers

9514 1404 393

Answer:

  102

Step-by-step explanation:

87 more than 15 is ...

  15 +87 = 102

Louie had 102 iPads before Cassandra tool some.

evaluate the expression when c=-3/4 and x=2/3
c-2x

Answers

Answer:

-2.0833333333333333333

Step-by-step explanation:

I used demos scientific


1) A very lucrative savings account earns 2.8% annual interest, compounded monthly. It is currently worth $10,427.39. How much was it worth a year and a half ago?

Answers

926+729299277=5289+83783

A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?

Answers

Answer:

Step-by-step explanation:

So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?

We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.

What's the walker instructions for this problem?​

Answers

I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.

Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?

Answers

The number of hours Jeremy spent in the air is 16 hours.

How to find the number of hours he spend in the air?

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

learn more on hours here: https://brainly.com/question/14093155

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If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

33.33%

Step-by-step explanation:

You get brainist plz

Answers

Answer:

54

Step-by-step explanation:

54

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer: 12

Step-by-step explanation:

Answer:

it would be 9

Step-by-step explanation:

All but nine died means "everything except nine goats died"

All 12 goats died.

Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)

Answers

Answer:

x-1

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