-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
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
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!
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.
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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
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.
$250, 3.4%, 3 years what would my interest be?
Answers
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.)
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
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
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
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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]
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:
What is 34÷18? Explain or show your reasoning.
Answers
Answer:
1.8889
Step-by-step explanation:
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:
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
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:
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
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
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
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.
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
Is 6,702,512 divisible by 9?
Answers
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 = 75-3y<-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
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
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
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:
https://brainly.com/question/11386252
(8 points) will mark brainliest!! pls help:)
Answers
hey 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.