-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
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.
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
Learn more about calculating volumes of various shapes here:
https://brainly.com/question/3789826
Precalculus: Conics
At the Bellagio Resort in Las
Vegas, one of the fountains
attains a maximum height of 4m
at a horizontal distance of 0.5m
from its spout. If the path of
water is a parabola, find the
height of the water at a
horizontal distance of 0.75m
from the origin.
Answer:
yahoooooooooooooooo
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8 + 2). (4+2) D. (8. 4) + (24) + 2
The value of the equation A = ( 8 . 4 ) + ( 2 . 4 ) + 2 = 42
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 8 + 2 ) . 4 + 2 be equation (1)
On simplifying the equation , we get
A = ( 10 ) 4 + 2
A = 40 + 2
A = 42
Substitute the value of A as
A = ( 8 . 4 ) + ( 2 . 4 ) + 2
On simplifying the equation , we get
A = 32 + 8 + 2
A = 40 + 2
A = 42
Hence , the equation is A = ( 8 . 4 ) + ( 2 . 4 ) + 2
To learn more about equations click :
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Clip 102
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Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.
Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for
t ≥ 0.
Then the integral
ℒ{f(t)} =
∞
e−stf(t) dt
0
is said to be the Laplace transform of f, provided that the integral converges.
to find
ℒ{f(t)}.
(Write your answer as a function of s.)
Answer:
1q1231564rr54drdfgy6
A red die and a blue die are thrown. What is the probability that the red die comes up 5 or the sum on the two dice is less than four (or both)
Answer:
vA woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
Solve x
2/x -2 = 3/2x+3
Answer:
since we don't have to go back in and you can come over you
-2 5/12 - (-10 8/9)
-13.30
that might be the answer
The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?
Answer:
8,500,000
Step-by-step explanation:
if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answer:
10m^3-15m^2
Step-by-step explanation:
A model village is built to scale. It has a scale of 1 : 23. A road has a real-life length of 1.61 km. What is the length of the road in the model village in m?
Answer:
We need to find how much more or less the ratio becomes
1.61 / 23 = 0.07
we multiply 0.07 with 1 to make the ratio even and get your answer
1 x 0.07 = 0.07 on the map
Hope this helps
Step-by-step explanation:
A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 33, where x represents the smaller number. Plug in the numbers from the set {3, 5, 7, 9} to find the value of x.
The value of x that holds true for the equation is?
So, the smaller number is?
and the larger number is?
Step-by-step explanation:
the numbers : x, y
x = 5 + 3y
x + y = 33
when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :
5 + 3y + y = 33
5 + 4y = 33
4y = 28
y = 7
so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.
the other number is based on my equations (with the reversed names) :
x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26
the smaller number is 7.
the larger number is 26.
Determine the period of the following graph.
Samantha had a board that was 6 ft. 8 in. long. She cut off a piece that was 2 ft. 10 in. long. How much board does she have left?
Answer:
she would have 3ft. 10 inches of board
Step-by-step explanation:
Answer:
3ft and 10inches
Step-by-step explanation:
so 6ft 8 in minus 10in is 5ft 10 in
then 5ft minus 2ft is 2ft the rest is a piece of cake
help me due today it is math
Answer:
B, C, and D.
Step-by-step explanation:
a)
d + 2 = 7
d = 5
b)
10 - d = 6
-d = -4
d = 4
c)
20 / d = 5
20 = 5d
4 = d
d)
4d = 16
d = 4
Hopefully this helps!
Brainliest please?
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7
Answer: Probability is 4/12, or 1/3
- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?
Answer:
NO
Step-by-step explanation:
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? Simplify your ratio.
Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.
What is 2* 5 equal to?
Answer:
32
.......................................
help me plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is B. just to keep it short B.
helpppppppppp WILLLL GIVE BRAINLISTTTTT
Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2
True
False
True.
The y-axis of the f(x) must equal to the x-axis of g(x)
The x-axis of the f(x) must equal to the y-axis of g(x)
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Step-by-step explanation:
let v is the speed of the wind,
the equation of the speed:
(550 + v ) × 5 = (550 - v) × 6
2750 +5v = 3300 - 6v
11v = 3300 - 2750
11v = 550
v = 550/11
v = 50
therefore, the speed of the wind =
50 mph
Step-by-step explanation:
v = speed of the wind5(550 + v) = 6(550 - v)
2.750 + 5v = 3.330 - 6v
5v + 6v = 3.300 - 2.750
11v = 550
v = 550 ÷ 11
v = 50mph
What is a number and how do i get it when i do the thing?
Answer:
number is a mathematical object used to count, measure, and label. ... Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five.
What number is 1/10 of 200
I will mark brainlist
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
Answer:
answer is A
I hope this helps!
9:00 oclock as a fraction in its lowest form
Answer:
1/9
Step-by-step explanation:
Answer:
i think but it is 9/12 that is 3/4
I am sorry I am not very sure
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm
Answer:b
:D
Step-by-step explanation:d
504
i really need help on my question
Answer:
D
Step-by-step explanation:
-1.25 is less than -1.02 and 1.4.
> -1.25 + 1.02 = -0.23
1.4 is a greater amount because it is a positive number
So, if you put it this way, -1.25 is lesser, -1.02 is the 2nd least, & 1.4 is the greatest.
Which means your overall answer should be -1.25 < -1.02 < 1.4