What is the nth term rule of the quadratic sequence below?
12
,
17
,
24
,
33
,
44
,
57
,
72
,
.
.
.

Answers

Answer 1

Answer:

Step-by-step explanation:

What Is The Nth Term Rule Of The Quadratic Sequence Below?12,17,24,33,44,57,72,...
Answer 2

9514 1404 393

Answer:

  a[n] = n² +2n +9

Step-by-step explanation:

First differences are ...

  17-12 = 5; 24-17 = 7; 33-24 = 9 . . . . . . define d1=5

So, second differences are ...

  7-5 = 2; 9-7 = 2 . . . . . . . define d2=2

The coefficient of the n² term is half the second difference (=d2/2). The 0-th term will be smaller than the first term by the difference between the first first difference and the second difference (d1-d2):

  a0 = a1 -(d1 -d2) = 12 -5 +2 = 9

So, the quadratic rule will be ...

  a[n] = n² +9 +kn

for some value of k.

We can find k using the first term of the sequence.

  a[1] = 1² +9 +k·1 = 12

  k = 12 -10 = 2

Then the rule is ...

  a[n] = n² +2n +9


Related Questions

-3x - 8 = 50
Anyone know how to solve this by elimination?

Answers

-14 should be the answer
-14!!
explanation it’s bc I’m smart :)

Two lines, C and D, are represented by the following equations: Line C: y = x + 5 Line D: y = −2x − 1 Which of the following options shows the solution to the system of equations and explains why? (4 points) a (−2, 3), because the point does not lie on any axis b (−2, 3), because both lines pass through this point c (−2, 3), because one of the lines passes through this point d (−2, 3), because the point lies between the two axes

Answers

Answer:

The correct answer is B

Step-by-step explanation:

I know this is the answer because I took the test and got it right.

Select all of the numbers below that are equivalent to 3/4.

A) 6/8
B) 8/6
C) 6/12
D) 9/16
E) 15/20
F) 8/4

I already chose A and E, I just need the other one and can you please explain :)

Answers

A,C,D,E because 3 could go into 3,6,9,15 and 4 can go into 8,12,16,20 equally

Please help I never learned this

Answers

Answer:

7

Step-by-step explanation:

7x7x7

the answer would be 7

maria rode her bike for three-fifths of a miles did she ride altogether
A.1/5 B.3/10 C.7/5 D.4/5

Answers

Complete Question:

Maria rode her bike for three-fifths of a mile on Monday and one-fifth of a mile on Tuesday. How many miles did she ride altogether?

Group of answer choices.

A. 1/5

B. 3/10

C. 7/5

D. 4/5

Answer:

D. 4/5

Step-by-step explanation:

Given the following data;

Distance covered on Monday, D1 = 3/5 miles

Distance covered on Tuesday, D2 = 1/5 miles

Total distance covered, Td = D1 + D2

Substituting into the equation, we have;

[tex] Td = \frac {3}{5} + \frac {1}{5}[/tex]

Lowest common denominator (LCD) = 5

[tex] Td = \frac {3 + 1}{5} [/tex]

Td = 4/5 miles.

Therefore, Maria rode 4/5 miles altogether.

Which of the following describes the transformation from AABC" -->
AA"B"C"?

A) reflection over X-axis, then translation (0,2)

B) 90 counterclockwise rotation, then reflection over y-axis

C) reflection over y-axis, then rotation 180

D) 90 counterclockwise rotation, then reflection over x-axis

Answers

D. 90 counterclockwise rotation, then reflection over x-axis

What is the value of x in the equation
8+4 = 2(x-1)?
5
11
2
13
2.
07

Answers

Answer:

7

Step-by-step explanation:

8+4=2(x-1) (Given)

12=2x-2 (Distribute and simplify)

14=2x (Addition Property Of Equality)

7=x (Division Property Of Equality)

Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions had equal value. How many questions did Bradley answer correctly on his test?

Answers

Answer:

he got 24 correct

Step-by-step explanation:

so basically yo do 30 divided by 10 to get 10 percent then you do that answer times 8 to get 80 percent yw xx

There are 24 answer correctly on his test.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Bradley answered 80% of the questions on his science test correctly.

And, There were 30 questions on the test.

Now,

Since, There were 30 questions on the test.

Hence, The correct answers = 80% of 30

                                            = 80/100 × 30

                                             = 24

Thus, Number of Bradley answer correctly on his test = 24

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

PLEASE PLEASE PLEASE HELP QUICK TOO PLEASE

Answers

Answer:

B 53.

Step-by-step explanation:

180-79=101

101+6x+13=180

-114              -114

6x=66

x=11

3(11)+20

33+20

53

The store offers a 20% discount A regular price of a t shirt is 18$ what is the discount price

Answers

Answer:

$14.40

Step-by-step explanation:

20% off of $18 is $14.4

y=-2x+4y=−2x+4y, equals, minus, 2, x, plus, 4 Complete the missing value in the solution to the equation. ((left parenthesis ,-2),−2)comma, minus, 2, right parenthesis

Answers

9514 1404 393

Answer:

  (3, -2)

Step-by-step explanation:

Given:

  y = -2x +4

Find:

  the value of x for y=-2

Solution:

  Put the value of y into the equation and solve for x:

  -2 = -2x +4 . . . . use -2 for y

  -6 = -2x . . . . . . . subtract 4

  3 = x . . . . . . . . . .divide by -2

The solution of interest is (3, -2).

whats the slope of (8,18) and (16,24)

Answers

Answer:

6/8

Step-by-step explanation:

I answered this math question on edge and 100%.

(-x²+9) + (-3x²-11x+4)

Answers

Answer:

=-4x^2-11x+13

Step-by-step explanation:

What is the factorization of the expression below?
16x2 - 25y2
A. (8x-5y)(2x + 5y)
B. (8x - 5y)(2x - 5y)
C. (4x-57)(4x + 5y)
O D. (4x - 5y)(4x - 5y)

Answers

Answer:

(4x-5y)(4x+5y)

Step-by-step explanation:

A book advertised as 20% off. If it cost 70$ how much was it originally

Answers

Answer:

The answer is $84

Step-by-step explanation:

hope this helps

$70×0.2=14

$70+$14=$84

Answer:

Step-by-step explanation:

$87.50 would be your answer

since you're trying to find the book cost originally you would subtract the total minus the discount to get .8

then you would divide 70/.8 to get your answer of 87.50

What’s the equation of the line that passes through the points (7,-4) and (-7,1)

Answers

Answer:

  5x +14y = -21

Step-by-step explanation:

One way to write the equation of a line from two points is ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0

  5(x -7) +14(y +4) = 0

  5x +14y -35 +56 = 0

  5x +14y = -21 . . . standard form equation of the line

8.15,8.04,8.009 least to greatest​

Answers

Answer:

8.009, 8.04, 8.15

Step-by-step explanation:

Look at the decimal places. The farther away it is on the right side, the less the value of the number.

Answer:

8.009; 8.04; 8.15

Step-by-step explanation:

8.009 is the least

8.15 is the greatest

hope this helps :3

if it did pls mark brainliest

multiplying two complex numbers involves _____

Answers

Answer:

232

Step-by-step explanation:

232

A map of the scale of 1 inch equals 15 miles what is the actual distance between two cities are 2 1/2 inches apart on the map

Answers

Answer:

37.5

Step-by-step explanation:

1=15 so 2=30 plus half of 15 (7.5) add, 37.5! :) Hope this helped! Have a good day! ;)

divide 880 in the ratio 3:5

Answers

Answer:

Step-by-step explanation:

So take 3:5 and add them  which gets us 8 then divided 880 by 8 = 110

Hope this helps :D

Answer:

330:550

Step-by-step explanation:

divide 880 to (3+5=8) so 880/8=110

3:5 will be 3*110: 5*110 so is 330: 550

At the beginning of Grade 6, the ratio of advanced math students to the number of regular math students was 3: 8. After taking placement tests, students we removed around changing the ratio of advanced students to the number of regular students to 4: 7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement test?

Answers

Answer:

69 students were advanced and 184 were regular

Step-by-step explanation:

begining

advance 3: regular 8

after exam

advance 4 (92students) : regular 7 (92/4=23; 23*7=161 students)

So total students we have 161+92=253,

remember we have advance 3: regular 8 so

253/(3+8)=253/11=23

23*3=69, 23*8=184

69 students were advanced

21 less than three fifths of a number​

Answers

Answer:

3/5x - 21

Step-by-step explanation:

3/5x represents the three fifths of a number, and - 21 represents 21 less :)

What number is the smallest?

-1 or -0.5​

Answers

-1 would be the smallest number

Answer: -1

Name a ratio that is equivalent to 2:3

Answers

The ratio 2 : 3 is the same as the ratio of 6 : 15. 2.) This is an example of scaling down by a scale factor of 5. The ratio 8 to 11 is the same as the ratio 40 : 55.

Answer:

4:6

Step-by-step explanation:

You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.

I need help please ASAP!!!!!!

Answers

Answer:  y = 2x + 14   x is the number of weeks. 14 (b) was his original performance in miles jogged per week. y is the expected performance.

Sketch attached.

Step-by-step explanation:  Given John's current performance, it is likely that he was able to jog some number of miles per week, the "b" in slope-intercept form.  To calculate:

30 = 2(8) + b

30 = 16 + b

30 - 16 = b

14 = b

Substitute into the slope intercept equation:

y = 2x + b

Which equation is perpendicular to y = 4x - 6 and passes through point (8, 12).

Answers

Answer:

The line is ;

4y = -x + 56

or

y = -x/4 + 14

Step-by-step explanation:

Generally, the equation of a straight line is;

y = mx + c

where m represents the slope

so for y = 4x - 6

The slope is 4

If two lines are perpendicular, the product of their slopes is -1

So for the second line, the slope will be -1/4

The equation in the point slope format will be ;

y-12 = -1/4(x-8)

y-12 = -x/4 + 2

Multiply through by 4

4y-48 = -x + 8

4y = -x + 8 + 48

4y = - x + 56

The equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

or

[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)

Recall:

Point-slope equation is given in the form of: y - b = m(x - a)Slope-intercept equation is given in the form of: y == mx + bWhere, m is the slopeThe slopes of two lines that are perpendicular to each other are the negative reciprocal of one another.

Given:

y = 4x - 6

Slope (m) = 4The negative reciprocal of 4 is: -1/4

To write the equation of a line that passes through (8, 12) and is also perpendicular to y = 4x - 6, substitute m = -1/4 and (8, 12) into

y - b = m(x - a)

Thus:

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

Rewrite in slope-intercept form

[tex]y - 12 = -\frac{1}{4} (x - 8)\\\\y - 12 = -\frac{1}{4}x + 2\\\\y = -\frac{1}{4}x + 2 + 12\\\\y = -\frac{1}{4}x + 14[/tex](point-slope form)

Therefore, the equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

or

[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)

Learn more here:

https://brainly.com/question/16732089

Describe and correct the error in finding the slope and the y-intercept of the graph of the equation.

Answers

Answer:

The error is the slope is -4 and the correct is, the slope is  [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

You must put the equation in the form of y = m x + b, where

m is the slope b is the y-intercept

Let us put the equation n the form above

x = -4y

→ Switch the two sides

∴ -4y = x

→ Make the coefficient of y equal 1 by divide both sides by -4

∵ [tex]\frac{-4y}{-4}[/tex] = [tex]\frac{x}{-4}[/tex]

∴ y = [tex]\frac{x}{-4}[/tex]

→ Write [tex]\frac{x}{-4}[/tex] as [tex]-\frac{1}{4}[/tex] x

y =  [tex]-\frac{1}{4}[/tex] x

→ Compare it by the form above

m =  [tex]-\frac{1}{4}[/tex]  and b = 0

∴ The slope of the is  [tex]-\frac{1}{4}[/tex] , and the y-intercept is 0

The error is the slope is -4 and the correct is the slope is  [tex]-\frac{1}{4}[/tex]

Out of the 21 students in Terry's class, 15 prefer spaghetti over meatloaf. There are 420 students in Terry's middle school. Based on these survey results, how many students at Terry's school could be expected to prefer spaghetti over meatloaf?

Answers

Answer:

300 can be expected to prefer spaghetti over meatloaf.

Answer:

Step-by-step explanation:

15:21 = x:420 (students that want da spaghetti:overall students)

cross multiply

15   x

21  420

6300=21x

divide by 21 on both sides

300=x

300 students out of the 420 prefer da spaghetti

Helen has five times more as money as Brian they're both have $42 together how much do they have​

Answers

Answer:

Helen has $35 and Brian has $7

Step-by-step explanation:

5b + b = 42

6b = 42

/6 /6

b = 7

7(5) + 7 = 42

35 + 7 = 42

42=42

Fill in wats missing?

Answers

what are the the choices to fill it in with!
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