For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answers

Answer 1

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.


Related Questions

what represents the distance traveled and time spent traveling

Answers

Answer:

b) y

Step-by-step explanation:

joannes speed = 250/2.5 =100km/h

francois speed = 100-10 = 90km/h

after 5h, francois would have travelled 450

The derivative of f(x) = x3 – 12x + 5 is 3x2 – 12 . Find the coordinates of the turning points of f(x)

Answers

Answer:

(-2, 21) and (2, -11)  let me know if anything didn't make sense

Step-by-step explanation:

Try and put the symbols in, so for x to the third power write x^3  just makes it all much easier.

The turning point is when a graph changes from increasing to decreasing, or the other way around.  What this means is that its slope is changing from positive to negative, or the other way around.  

The derivative allows you to find the slope at any point of a graph.  If you are unfamiliar witht his concept let me know and I can go more into it.  

Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite.  In other words it changes, so it's exactly what we are looking for.  Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.

There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point.  So keep that in mind.

The derivative is 3x^2 - 12.  So we want to find when this equals 0.   We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.

3x^2 - 12 = 0

3x^2 = 12

x^2 = 4

x = 2 and-2

So these are the turning points.  You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.

These are the x values of the turning points.  Solve f(x) at these points to find the y values.  so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11  so now we know the turning points are (-2, 21) and (2, -11)

The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

What is differential equation?

An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.

The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.

Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.

Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.

The derivative is 3x² - 12.

3x² - 12 = 0

3x²  = 12

x²  = 4

Thus, x = 2 and-2

So, these are the turning points.  

Now Solve f(x) at these points to find the y values.  

so f(x) = x³ – 12x + 5

f(-2) = (-2)³ - 12(-2) + 5 = 21

f(2) = -11  

Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

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Help please me please help me

Answers

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

this is another question i need hlp with

Answers

Answer:

5

Step-by-step explanation:

i = 5¹

5¹ = 5

The correct option is 5

Answer:

5

Step-by-step explanation:

A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/10 the total number of Progressives in the entire country, what fraction of the country is Traditionalist

Answers

Answer:

one third  (1/3)

Step-by-step explanation:

we have 5 provinces.

Each province contains the same number of Traditionalists, let's say that there are T traditionalists per province, thus, there are:

5*T in the country.

now we know that in each province, the number of traditionalists is equal to 1/10 of the total number of progressives in the entire country.

If there are a total of P progressives in the entire country, we will have that:

T = P/10

Then the total number of traditionalists in the entire country is:

5*T = 5*(P/10) = P/2

So in the whole country, there are P progressives and P/2 traditionalists.

So the total population is:

total = P + P/2 = (3/2)*P

We want to know what fraction of the country is traditionalist, this is equal to the quotient between the traditionalist population, P/2, and the total population, (3/2)*P

This is:

[tex]c = \frac{P/2}{(3/2)*P} = 1/3[/tex]

So one third of the country is traditionalist.

Complete the table to investigate dilations of
exponential functions.
3.2*
23x
-2
NAN
62
-1
2 / 를
0
a
b
с
1
d.
e
f
2
4
12
64
a =
b
с
e
f=
d =
DONE
Intro

Answers

Answer:

a= 1

b= 3

c= 2

d= 2

e= 6

f= 8. These are the answers for the question. Love from Gauthmath

The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9

Functions and values

The standard exponential function is expressed as:

y =ab^x

wherex is the exponent

a is the base

According to the question, we are to fill the given table based on the given exponential functions.

If the exponential function is 2^x

a = 2^0 = 1

d = 2^1 = 2

If the exponential function is 3*2^x

b = 3* 2^0 = 3

e = 3 * 2^1 = 6

If the exponential function is 2^3x

c = 3^2(0) = 3^1 = 3

f = 3^2(1) = 3^2 = 9

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Help asap please difficult

Answers

[tex] \sf\huge\underline\purple{✏question}[/tex]

The lines presented by equations

[tex]2y + 5x = 2 \sf \: and \: y = - \frac{2}{5} + 3 \: are[/tex]

[tex] \sf\huge\underline\pink{✏ANSWER}[/tex]

PeRpEnDeCuLaR

(Perpendicular)

#BrainliestBunch

I'LL GIVE BRAINLIEST !!!! FASTERR

please explain how do you get the answer !​

Answers

Answer:

i) 37

ii) 120

iii) 157

Explanation:

i)

BCA = 180-ACD (Linear Pair)

BCA=180-60

BCA = 120

23+x+BCA=180

143+x=180 (Angle sum property)

x=37

ii) Since triangle ABD is equilateral all of its angles are 60

y+ADC=180

y = 180-ADC (Angles on straight line adds upto 180)

y=180-60

y = 120

iii) Using the values from part i and ii

x+y = 120+37

= 157

Must click thanks and mark brainliest

kx - c = 9 solve for x

Answers

Answer:

x = [tex]\frac{9+c}{k}[/tex]

Step-by-step explanation:

Given

kx - c = 9 ( add c to both sides )

kx = 9 + c ( isolate x by dividing both sides by k )

x = [tex]\frac{9+c}{k}[/tex]

you start by isolating the variable by dividing each side by factors that don’t contain the variables
therefore your answer would be x = 9/k + c/k

Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

Answers

Answer:

56

Step-by-step explanation:

Determine the measure of the interior angle at vertex F

Answers

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

Find the gcf for…………….

Answers

The answer would be 6uvw^2

Câu 1: Cho tam giác MNP cân tại P thì:
A. MN = MP B. PM = NP C. PN = PN D. Không có cạnh nào bằng nhau.

Answers

Answer:

B. PM = NP

Step-by-step explanation:

find quotient in exponential forms 9power5
divided by
3 power 6 answer in detail​

Answers

Answer:

oooooooooooooooooooo

Answer:

[tex]{ \tt{ = \frac{ {9}^{5} }{ {3}^{6} } }} \\ \\ = { \sf{ \frac{( {3}^{2}) {}^{5} }{ {3}^{6} } }} \\ \\ { \sf{ = \frac{ {3}^{10} }{ {3}^{6} } }} \\ \\ = { \tt{ {3}^{(10 - 6)} }} \\ = { \sf{ {3}^{4} }}[/tex]

If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:

Answers

Answer:

176 cm

Step-by-step explanation:

The shorter arc is 22 cm.

Arc length formula:

s = πrθ/180

Circumference formula:

C = 2πr

Use the first formula to work out the value of C:

22 = πr*45/180πr/4 = 22πr = 88 2πr = 176C = 176 cm

Length of arc=L=22cm

We know

[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]

[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]

[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]

[tex]\\ \sf\longmapsto {2πr=176}[/tex]

[tex]\\ \sf\longmapsto Circumference=176cm[/tex]

I NEEDDDDD HELPPPP ITS URGENTTTT!!!!!!!

Answers

Answer:

r=7, Center:(4,8)

Step-by-step explanation:

( x - h )^2 + ( y - k )^2 = r^2 is the general formula for circle where radius is square root of r^2 and the center is (h,k).

What number line shows Point A at -4, Point B at 2.5, Point C at -2 1/2, and Point D, which is the opposite of Point A.

Answers

Answer: Choice A

Explanation:

Since -3/5 > -0.8, this means -3/5 is to the right of -0.8

Larger stuff is to the right of smaller stuff. Another example would be 10 > 7, meaning we have 10 to the right of 7 since 10 is larger.

Any negative value is always to the left of 0, so -3/5 is to the left of 0.

That's why the answer is choice A.

Find the value of x. Round
the nearest tenth.

Answers

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42       sin x

--------- = ----------

22              12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

Which functions have a removeable discontinuity? Check all that apply.

Answers

Answer:

It already shows the answers.

Step-by-step explanation:

I'm pretty sure you already submitted. The ones with check marks are correct and the ones with x marks are incorrect.

CAN SOMENE PLESAE ANSWER B ITS URGERT MARKING BRAINLIEST

Answers

Carpet that Jennifer needs is 75.875 m^2 and trim she needs is 48.36 m

Find the sizes of unknown angles.

Grade 7
Geometery-Angles...
Pls answer fast with steps whoever tells right will given brainliest and 5 stars.​

Answers

Answer:

40,65,75,40,105,35

Step-by-step explanation:

All the x variables form a straight line so

[tex]x + x+ 25 + x + 35 = 180[/tex]

[tex]3x + 60 = 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

Angle P is vertical to Angle X so

Angle P is equal to Angle X so

[tex]p = 40[/tex]

3q and q is supplementary to both Anlge P and X so this means they must equal 140.

[tex]3q + q = 140[/tex]

[tex]4q = 140[/tex]

[tex]q = 35[/tex]

If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =

Answers

Using the intersecting chord theorem:

a x b = c x d

x+21 * 4 = x+3 * 10

Simplify:

4x+84 = 10x+30

Subtract 30 from both sides:

4x + 54 = 10x

Subtract 4x from both sides:

54 = 6x

Divide both sides by 6:

x = 9

Answer:

x=9

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

ab = cd

(x+21) *4 = (x+3)*10

Distribute

4x+84=10x+30

Subtract 4x from each side

84 = 10x-4x+30

84 = 6x+30

Subtract 30 from each side

54 = 6x

Divide by 6

54/6 = 6x/6

9=x

Someone can help me with this ? I don’t understand

Answers

Answer:

-3

Step-by-step explanation:

Sayad bought a watch and sold to Dakshes at 10% profit. Sayad again sold it to Sahayata for rs 6,050 at 10% profit. i)Find the cost price of Dakshes. ii) Find the cost price of Sayad.​

Answers

Answer:

The cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

Step-by-step explanation:

Given that Sayad bought a watch and sold to Dakshes at 10% profit, and Dakshes again sold it to Sahayata for $ 6,050 at 10% profit, to find the cost price of Dakshes and the cost price of Sayad the following calculations must be performed:

6,050 / 1.1 = X

5,500 = X

5,500 / 1.1 = X

5,000 = X

Therefore, the cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

what is the remainder of 14 divided by 54584

Answers

reminder is 12I hope so it's helpful

Pls i need help
The continuous growth rate of wind energy per year is ?%

Answers

Answer:

Do you need it in percentage, a graph or just normal annual calculation?

find the missing side

Answers

13.9. Use pythagoras theorem to find it. Square root of 12*2 + 7*2 = square root of 193 = 13.89 ~ 13.9

Answer:

[tex]\boxed{x=13.89\:km}[/tex]

Step-by-step explanation:

Pythagorean theorem

[tex]x^2=(12^2)+(7^2)[/tex]

[tex]x^2=144+49[/tex]

[tex]x^2=193[/tex]

[tex]x=\sqrt{193}[/tex]

[tex]\boxed{x=13.89\:km}[/tex]

In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA

Answers

Answer:

67 degrees

Step-by-step explanation:

We have a right triangle with the following known values:

B = 90

A = 23 (46/2=23 since AD is the angle bisector)

D = ?

180 = 90 + 23 + D and we solve

67 = D

What's the answer to this?

Answers

Answer:

2, 0, 1

Step-by-step explanation:

In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.

What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.

A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24

Answers

Answer:

B

Step-by-step explanation:

1+2+3+4+6+8+12+24=60

60/24=5/2

so,B is the answer

The sum of all the reciprocals of the factors of 24 is 5/2.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

The reciprocals of all the factors of 24 are;

1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24

The sum of all the factors of 24:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

Take LCM of the fractions:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 60 / 24

Hence, the fraction:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 5/2

Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.

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