-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answers
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.
Related Questions
There are 564 men and women working in a factory.
There are twice as many women as men.
How many men are working in the factory?
Answers
Answer:
564x2=1128 men
Step-by-step explanation:
Answer:
there are1139 women are working in the factory
What is 34÷18? Explain or show your reasoning.
Answers
Answer:
1.8889
Step-by-step explanation:
The cost of a ride in a taxi is $2.50 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3.00. 3.25, 3.50, 3.75
Part A: Write a recursive function that can be used to determine f(x), the cost in dollars, for a ride in the taxi of, x, half-miles.
Answers
Answer: 2.50 + 0.35(15.75-1)*4 = $23.15 is the answer
Step-by-step explanation: Hope this helps!
Leah's bill for breakfast at a restaurant was $68. She left an 18% tip. What was the amount of the tip?
Answers
Answer:
55.76
Step-by-step explanation:
55.76
geomtry plzzz help 15 points
Answers
Answer:
19
Step-by-step explanation:
they give you xz, and they want half, so just divide 38 by 2
The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width
Answers
Answer:
width is 4 inches
length is 6 inches
Step-by-step explanation:
the length is 6 inches less than three times the width
l = 3w - 6
a = l * w
a = (3w - 6)w
a = 3w^2 - 6w
area of the rectangle is 24 square inches
3w^2 - 6w = 24
subtract 24 from both sides
3w^2 - 6w - 24 = 0
Divide both sides by 3
w^2 - 2w - 8 = 0
Factor
(w - 4)(w + 2) = 0
w = {-2, 4}
disregard the negative root since measurement must be positive
w = 4
l = 3w - 6
l = 3(4) - 6
l = 6
$250, 3.4%, 3 years what would my interest be?
Answers
Which situation represents a proportional relationship?
A) The cost of purchasing a basket of apples for $2.00 per pound plus $4.00 for the basket
B) The cost of purchasing apples for $2.25 per box of apples with a delivery charge of $5.00.
C)The cost of purchasing apples for $2.75 per pound with a coupon for $2.00 off the total cost.
D) The cost of purchasing apples for $2.50 per pound plus a shipping fee of $0.15 per pound.
PLEASE HELP MEE ILL GIVE OUT BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon
• n = 4
• n = 6
• n = 10
• n = 15
Answers
Answer:
The number of sides of the regular polygon is 10
Juan wants to buy a video game for $63. He saves $12 every Friday. Part A. Create an equation to represent Juan's total savings, y, in dollars, after x Fridays. y
Answers
Answer:
Answer in explanation.
Step-by-step explanation:
An equation to represent Juan's total savings y, in dollars, after x Fridays will be;
⇒ y = 12x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Juan wants to buy a video game for $63.
And, He saves $12 every Friday.
Now,
Let total dollars after x Friday = y
And, He saves $12 every Friday.
So, We can formulate;
⇒ Total money (y) = 12x
⇒ y = 12x
Thus, An equation to represent Juan's total savings y, in dollars, after x Fridays will be;
⇒ y = 12x
Learn more about the mathematical expression visit:
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What is the value of g(1)? What is the value of g(-12)? For which of the following x-values is g(x)=-6
Answers
The numeric values of the function are given as follows:
g(1) = 4.g(-12) = -10.g(x) = -6 for -8 ≤ x < -1.g(1)When x = 1, the function has a closed value on the graph at y = 4, hence:
g(1) = 4.
g(-12)When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:
g(-12) = -10.
g(x) = -6The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:
g(x) = -6 for -8 ≤ x < -1.
Learn more about the numeric values of a function at https://brainly.com/question/28296698
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A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answers
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
f(x)= -2x^3 +14x -8
g(x)= 2x+6
Answers
Answer:
F(2x+6)=-16x^3-144x^3-404x-356
Step-by-step explanation:
Is 6,702,512 divisible by 9?
Answers
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
р
Answers
Answer:
The answer is <-2
Step-by-step explanation:
Answer: I'm late but here you go
Step-by-step explanation:
Please solve for a: b = 2 - (1/a)
Answers
[tex]b = 2 - \dfrac 1a\\\\\implies ab = 2a -1\\\\\implies 2a -ab = 1\\\\\implies a(2-b) =1\\\\\implies a = \dfrac 1{2-b}[/tex]
The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?
Answers
Answer:
9.40
Step-by-step explanation:
7.40+2.00=9.40
(8 points) will mark brainliest!! pls help:)
Answers
Which of the following is NOT true about the expression?
-5x3 + 12x2 - 9x - 8
It has a leading term of 5
O The leading coefficient is 5,
The constant term is 8.
ch
O There are no negative coefficients
Answers
The statements which is not true about the expression given is; It has a leading term of 5.
According to the question;
The expression given is; -5x3 + 12x2 - 9x - 8.Since it is an expression; all other statements can be assumed true except; It has a leading term of 5; in which case the leading term is; -5x³
As such, the statements which are not true is;
It has a leading term of 5Read more:
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Which equation models this situation?
The sum of 23 and a number is 39.
O A. 23 + x = 39
B. 23 - x = 39
C. 39 + x = 23
O D. 23+ 39 = x
Answers
-3y<-14 i dont get the dam question
Answers
Answer:
Step-by-step explanation:
-3y<-14
divide both sides by -3
y<4.67
i’m not exactly sure what the question is asking or what you’re trying to find, but this is what i could figure out.
Answer:
y>14/3
I'll provide the step by step solution too.
=3y÷(-3)>-14÷(-3)
y>-14÷(-3)
y>14÷3
turn it into a fraction
y>14/3
hence your given answer above
Which table does NOT represent a linear function?
Answers
Answer:
3rd
Step-by-step explanation:
3rd one because rate of change is not same
18 - 15 / 0 - -1 = 3
20 - 18 / 1 = 2
21 - 20 / 1 = 1
Answer: i honestly think it would be the table with:
-1,15
0,18
1,20
2,21
Step-by-step explanation: hope this helped ty for the points
what is the estimate of 45.15
Answers
Answer:
The estimate would be:
(one of them :)
45 (if your doing the entire number)
0 (if your rounding out of 100)
45.2 (nearest hundredth)
45.0 (nearest tenth)
50 (nearest tens)
Hopefully one of these works for you.
AYUDA!!!!!!! Pls help me answer
Answers
You don't mention what's the question
Pease someone help me with this.
I just need two more tiles to create but I don't know how they would look like.
I will show below what I have filled and what the question is asking.
Question: How many different layouts are possible for a path that is five feet long? Draw them all here:
Answers
Answer:
go get that girl
Step-by-step explanation:
sike you use what you got the first time
Answer:
If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.
(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)
PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!
Answers
Answer:
See belowStep-by-step explanation:
1) Total points = 252) Points earned = 213) Percent score = 84%Proportion:
21 / 25 = 84% / 100%Solving the others in the table
21 out of 25 points:
21/25 = x/ 100 ⇒ x = 100*21/25 = 8415 out of 20 points:
15/20 = x/100 ⇒ x = 100*15/20 = 7547 out of 50 points:
47/50 = x/100 ⇒ x = 100*47/50 = 9428 out of 30 points:
20 / 30 = x/100 ⇒ x = 100*20/30 = 66.6619 out of 45 points:
19/45 = x/100 ⇒ x = 100*19/45 = 42.223 out of 4 points:
3/4 = x/100 ⇒ x = 100*3/4 = 75hey I need someone to help me
Answers
Answer:
A and F
Step-by-step explanation:
You plug in each one and see which ever one gets 20.
will give brainiest pls help!
Answers
Step-by-step explanation:
given,
x² + y² = 40
2xy = 24
(x + y)² = x² + 2xy + y²
so,
40 + 24 = 64
therefore option C is correct
hope this answer helps you dear!
Answer:
The answer should be C which is 64
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now
Answers
Answer:
5
Step-by-step explanation:
First subtract 6 from 16 to find how many cucumbers she has,
16 - 6 = 10
Now we know she has 10 cucumbers.
Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.
10 - 5 = 5
After subtracting the 5 cucumbers she gave away, we are left with 5
This means Maya has 5 cucumbers now