-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
If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2
Answers
Answer:
option C 7½ is correct hope this answer helps you dear! take care
Help pls asap!!! Make sure to answer all of them!
Answers
Answer:-4
-3
-2
Step-by-step explanation:
thx
Please take a look at the picture
Answers
Answer:
I think it'
is A and B
Step-by-step explanation:
hope hwlps
Find m<1
(Picture included)
Answers
Answer:
m<1 =30
Step-by-step explanation:
[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]
f(x) = 9x ^ 2 - 3 then what is f(3) ? Work must be shown for this problem or no credit will be earned.
Answers
Answer:
f ( 3 ) = 81
Step-by-step explanation:
→ Substitute in x = 3
9 × 3² - 3
→ Simplify
9 × 9 - 3
→ Simplify again
78
which one is true and why
Answers
Answer:
the first one is true
Step-by-step explanation:
√36>5 = 6>5
7<√10 = 7<3.162
√9>√25 = 3>5
Therefore, the first one is correct
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.
Answers
Answer: $265
Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.
Hope this helps!
help me pls I'm so confused
Answers
Answer:
I feel like it's A
Step-by-step explanation:
The dot looks closer
Answer and Step-by-step explanation:
The first graph (option) is the correct answer.
The line create in this graph is called the "Line of Best Fit", in which the line has to be somewhere in the middle of all the points on the scatter plot graph. The line shows the relation of the points to each other.
The line is in more proportion to the points than with the other graph.
#teamseas #PAW (Plant And Water)
I hope this helps!
the x-coordinate is zero and the y-coordinate is positive choose the location
Answers
Answer:
(0,5)
Step-by-step explanation:
A positive number is a number higher than 0. The x-coordinate is the first number, and the y coordinate is the second number. Plug in any random positive y coordinate to get your point.
(x,y)
(0,1)
(0,2)
(0,3)
(8 points) will mark brainliest!! pls help:)
Answers
Answer:
7/10
Step-by-step explanation:
Have a nice day
Answer:
2.1
hope this helped
In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.
Answers
See the attached image for the steps.
x = 9.
Identities used :-
(a + b)² = a² + 2ab + b²
Theory used :-
Pythagorean theorem (Hypotenuse² = Base² + Altitude²).
______
RainbowSalt2222 ☔
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answers
Answer:
Second is the correct answer but i think all are correct
What is 55% of 20?!?!?!
Answers
Answer:
11
Step-by-step explanation:
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
use the method:
is/of and %/100
plug in 55 for the percent, and 20 for 'of'
should be: x/20 and 55/100
cross multiply to get 11.
1%of 20 is 0.2 0.2x5=1 5% of 20 is 1
10% of 20 is 2 2x5=10 50% of 20 is 10
1+10=11
That is just how i do it to make it easier for others, and sometimes for me.
WILL GIVE BRAINLIEST
(5x-7)
(10x-32)
14
the perimeter of the pictured triangle is _____ in.
Answers
By converse of isosceles triangle theorem:
5x - 5 = 10x - 32
add 32 and -5x at both sides
27 = 5x (divide 5 both sides)
x = 5.4
5(5.4) - 5 = 27 - 5 = 22 inches
22 + 22 + 14 = 58 inches
I'll give brainiest whoever answers first
Answers
aight slide it here big boy
What is the measurement of the angle shown below?
Answers
Answer:
The correct answer is (c) 30°
Hope it helps
14 yd 2 ft + 9 yd 2 ft
Answers
Answer:
24yd 1ft
Step-by-step explanation:
14+9 = 23
2+2 = 4
1yd = 3ft
4ft = 1yd 1ft
Answer:
14 yd 2 ft + 9 yd 2 ft = 73 feet
hope this helps
what is The greatest common factor of 42 and 96? I need it to be broken down for me to understand. thanks
Answers
Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
Solve the following of:
11/15 × 7/8 ÷ 3/4
Answers
Answer:
Well following the order of operations
You just do this from left to right
11/15* 7/8 = 77/120
77/120 ÷ 3/4
or
77/120 * 4/3
77/90 (simplified)
77/90 is the answer
Solve for x, please help, thank you
Answers
Answer:x=6
Step-by-step explanation:
x+5x=36
Step 1: Simplify both sides of the equation.
x+5x=36
(x+5x)=36(Combine Like Terms)
6x=36
6x=36
Step 2: Divide both sides by 6.
[tex]\frac{6x}{6} =\frac{36}{6}[/tex]
x=6
Answer:
x=6
if tan2
x = 3 then value of
x is
Answers
Answer:
If tan2 x = 3 then the value of x is 3. So three is your answer!
Step-by-step explanation:
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answers
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
Answers
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
express (25 1/2) ^3 in simplest radical form
Answers
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
pls help :) not understanding this thank you!!!
Answers
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?
Answers
Please help me due on Friday
Answers
Answer:
Galaxies are moving closer together as time progresses
Step-by-step explanation:
Let me know if this helps!
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answers
Answer: Choice A
Work Shown:
[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]
Can someone answer this correctly for my sister please
Answers
Answer:
12) A ( 9, 11, 13, 15)
13) A ( o , a)
14) A (b ∈ ( a, b, c, d, e, f))
15) C ( -364)
16) D (-1°C)
17) B (Negative)
18) C (26 feet)
19) B (7)
Step-by-step explanation:
12) All of these are odd numbers greater than 7
13) These are the only vowels in "MONDAY"
14) Point B cannot belong in a set that already has B
15) -9876 + 9512 = -364
16) 4 - 5 = -1
17) ex: -2 + (-2) = -4
18) -20 + 12 - 18 = -26
19) 3(5) + 4(-2) = 15 - 8 = 7
-Chetan K
The perimeter of a rectangle is 21+ 2where is the
length of the rectangle and wis the width find the
Perimeter of the rectangle if the length is 12 inches and the width is 9 inches
Answers
Answer:19 - 20
Step-by-step explanation:
Yo