-8,-8,-6,-2,4,12,22 quadratic sequence
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
Identify what property is 17 + 54 + 6?
Identity property
distributive property
commutative property
associative property
3+(-4) on a number line iready
Answer:
it minus one or -1
Step-by-step explanation:
because 4 has more minus than 3 plus
unit rate for $112 in 8 hours
Answer:
$14 per hour could i get brainliest please?
Step-by-step explanation:
Answer:
$14 per hour
Step-by-step explanation:
112 divided by 8 is 14. So $14 per hour
Which is an equation of a direct proportion
Answer:
The equation of a direct proportion is: y=8x
So, the correct option is Option A.
Step-by-step explanation:
We need to find equation of direct proportion.
If y varies directly with x then:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality
So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]
We get the correct option: y=8x
All other options are not according to direct equation
The equation of a direct proportion is: y=8x
So, the correct option is Option A.
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
2^5/4 = 2^5/2^a= 2^b = c
What is
a=
b=
c=
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
Algebra 2 Please Help
Slope-Intercept Form of 3x – 4y – 16 = 0
Answer:
Y= 3/4x - 4
Step-by-step explanation:
Hey there!
The answer to your question is y = 3/4x - 4
We have to solve for y:
3x - 4y - 16 = 0
3x - 4y = 16
-4y = -3x + 16
y = 3/4x - 4
Hope it helps and have an amazing day!
I need help with finding slopes from two points thank you
Answer:
i do believe the answer is 6/7
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?
Answer:
60%
Step-by-step explanation:
Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%
= 60%
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
What is the answer to the problem?
30 = -5(m + 6) + m
30=−5(m+6)+m
Step 1: Simplify both sides of the equation.
30=−5(m+6)+m
30=(−5)(m)+(−5)(6)+m(Distribute)
30=−5m+−30+m
30=(−5m+m)+(−30)(Combine Like Terms)
30=−4m+−30
30=−4m−30
Step 2: Flip the equation.
−4m−30=30
Step 3: Add 30 to both sides.
−4m−30+30=30+30
−4m=60
Step 4: Divide both sides by -4.
−4m
−4
=
60
−4
m=−15
Answer:
m=−15
The students at Job's high school
were surveyed to determine their
favorite foods. The results are shown
in the table below. Suppose students
were randomly selected and asked
what their favorite food is. Find the
probability of each event. Write as a
fraction in simplest form.
Favorite Food Responses
Pizza 19
Steak 8
Chow-mein 5
Seafood 4
Spaghetti 3
Cereal 1
16. P(steak)
17. P(Spaghetti)
18. P(cereal or seafood)
19. P(not chow-mein)
19. P(pizza)
20. P(cereal or steak)
21. P(not steak) 22. P(not cereal or seafood)
23. P(chicken) 24. P(chow mein or spaghetti)
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
I need help with this one
Answer:
Yes they are similar
Step-by-step explanation:
They have the same measurements adding up to 180.
Triangle RST angles are 120, 20, and 40
Triangle JKL angles are 120, 40, 20
Those are the same numbers.
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?
Answer:
$37
Step-by-step explanation:
Let $x be the amount Kelly saved.
Kelly saved $x.
Indhu saved $(x-16). (Kelly saved $16 more than Indhu)
Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)
They saved $100 together.
Therefore we could set up an equation.
x+(x-16)+2(x-16)=100
x+x-16+2x-32=100
4x=148
x=37
Therefore Kelly saved $37.
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
Learn more about Algebraic expressions :
https://brainly.com/question/395066
#SPJ2
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
I really need help thanks
Solve the inequality below. Use the drop-down menus to describe the solution and its graph.
- 7x+13 > 41
Plss help me
Answer: The Solution to inequality is _______ (x < -4). A graph of the solution should have______ (A filled-in circle at -4) and should be shaded to the ____ (left)
Hope this helps! Please people give more explantions like this Y'ALL MAKE IT COMPLICATED! :)
an=-3+5(n-1) written in function form
also whats the y intercept?
Answer:
written function is 5n-8
Step-by-step explanation:
there is no y-intercept
a band is playing a 5000 seat arena and determines that if it sells tickets for $50 each, it will only sell 2,000 tickets. at decides to sell tickets at reduced prices in order to sell more tickets, and discovers that that for each $5 it reduces prices, it will sell an additional 500 tickets. what is the optimal ticket price if the band wants to maximize the revenue from this concert?
Answer:
375,000$?
Step-by-step explanation:
Answer:
Optimal ticket price is $35
Step-by-step explanation:
$50 -> 2000 tickets => $100,000 revenue
each $5 drop in price equals 500 more tickets sold
$40 -> 3000 tickets => $120,000 revenue
$35 -> 3500 tickets => $122,500 revenue
$30 -> 4000 tickets => $120,000 revenue
$25 -> 4500 tickets => $112,500 revenue
$20 -> 5000 tickets => $100,000 revenue