What is the common difference of the following arithmetic sequence?

{15,11,7,3,...}

Answer:

6x - 5 = (-9x) - 9

6x + 9x = (-9) + 5

15x = (-4)

x = (-4/15)

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]

[ add 9x and 5 on both sides ]

[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]

[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]

[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]

[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

13x = 39

x=3

y=10

Answer:

Yes

Step-by-step explanation:

Yes, 8.6 is a rational number because it can be expressed in the form of p/q

[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]

[tex]14-a=19-12\\14-a=7\\a=14-7\\a=7[/tex]

Answer:

7

Step-by-step explanation:

14-a=19-12

14-a=7

14-7=a

7=a

Combine like terms

Answer:

2ab(a2b−2)

Step-by-step explanation:

The area of a regular octagon with an apothem of 2 cm is 3cm ^2.

The area of a regular octagon with an apothem of 2 cm.

Given the apothem length,

the area of a regular polygon becomes,

[tex]A=\frac{1}{2}\times P\times A[/tex]

P=  the perimeter of the regular polygon

A is the apothem of the regular polygon

Here, we get

p=2=2cm, a=3cm.

So, plugging in the given values, we get

[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]

A=1cm⋅3cm

A=3cm^2

Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.

To learn more about the regular octagon visit:

https://brainly.com/question/1592456

#SPJ1

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

If the two of the given system of equations are plotted on the graph, then it can be observed that the two lines have different slopes. Therefore, the correct option is A.

Learn more about System of the equation:

https://brainly.com/question/12895249

#SPJ1

Answer:

A five units right and three units up

Step-by-step explanation:

take coordinate C for example and count how many spaces you need to go either right or left and then up and down for the two triangles to be in the same place

The LinReg line of best fit for this data set is ŷ = -1.24X + 0.66

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Given:

(−5, 6.3),

(−4, 5.6),

(−3, 4.8),

(−2, 3.1),

(−1, 2.5),

(0, 1.0),

(1, −1.4)

Sum of X = -14

Sum of Y = 21.9

Mean X = -2

Mean Y = 3.1286

Sum of squares (SSX) = 28

Sum of products (SP) = -34.6

Regression Equation,

ŷ = bX + a

b = SP/SSX = -34.6/28 = -1.23571

a = MY - bMX = 3.13 - (-1.24*-2) = 0.65714

ŷ = -1.23571X + 0.65714

ŷ = -1.24X + 0.66

Learn more about regression line here:

https://brainly.com/question/7656407

#SPJ1

Answer:

x = -2

y = -6

Step-by-step explanation:

Equating the equations :

Equate both

And

Graph attached

Answer:

8 units

Step-by-step explanation:

ratios  

(x-3) /( x+1)  = (x-2)/(x+3)     cross multiply

x^2 -x -2 = x^2 - 9

  -x - 2 + 9 = 0

    x = 7          

           so TS = x + 1 = 8 units

Answer:

B. -2

Step-by-step explanation:

-12x -2(x+9) = 5(x+4)

*ALWAYS REMEMBER YOUR BODMAS*

-12x -2x - 18 = 5x + 20

*group the like terms*

-14x - 5x = 20 + 18

-19x = 38

x = -2

The value of x that makes the equation true is: x = -2.

B. -2.

Here, we have to find the value of x that makes the equation true, we need to solve for x.

Let's solve the equation step by step:

-12x - 2(x + 9) = 5(x + 4)

Distribute the -2 and 5 on the right side of the equation:

-12x - 2x - 18 = 5x + 20

Combine like terms on both sides:

-14x - 18 = 5x + 20

Move the variable terms (5x) to one side of the equation and the constant terms to the other side.

Let's subtract 5x from both sides:

-14x - 5x - 18 = 5x - 5x + 20

-19x - 18 = 20

Move the constant term (-18) to the other side of the equation.

Let's add 18 to both sides:

-19x - 18 + 18 = 20 + 18

-19x = 38

Finally, divide both sides by -19 to isolate x:

x = 38 / -19

x = -2

So, the value of x that makes the equation true is: x = -2.

B. -2.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ7

Answer:Shake hands when you meet someone.Make direct eye contact with the person you are speaking with.Unless the movie theater is crowded, do not sit right next to someone.Do not stand close enough to a stranger to touch arms or hips.Cover your coughs.

Step-by-step explanation:trust me

Answer:

Given sequence in the table is a Geometric sequence and The sum for term 5 through term 11 in sigma notation is given by:

[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]

Step-by-step explanation:

Geometric sequence - it is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio

here the given terms :

a1 = 2, a2 = -10, a3 = 50

you can see it is a geometric sequence as the ratio is constant  [tex]\frac{a2}{a1}{=}\frac{a3}{a2}{=}{-5}[/tex]

now the nth term for geometric sequence :

[tex]a_{n} {=}{a}{r}^{n-1}[/tex]

here,

now substituting the given values in the expression,

[tex]a_{n} {=}{2}{{(}-5}{)}^{n-1}[/tex]

we have to find the sum from term 5 to term 11,

therefore using sigma notation and putting n= 5 and n=11 at the below and above the sigma respectively,

[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]    

learn more about geometric progression at brainly.com/question/4853032

#SPJ10

The radical is 2√21.

The √ symbol that is used to denote square root or nth roots.

Given :

√84

= √2*2*21

=2√21

Hence, the radical is 2√21.

Learn more about radical here:

https://brainly.com/question/14923091

#SPJ1

The theoretical probability of at least one 4 on the spinners is 0.4375

The sections on the spinners are:

Spinner 1 = 4

Spinner 2 = 4

So, the number of different outcomes is:

Outcomes = 4 * 4

Outcomes = 16

Hence, the number of different outcomes is 16

The spin results that have at least one 4 are:

Results = {(4,1), (4,2), (4,3), (4,4), (1,4), (2,4), (3,4)}

The count of these results is 7.

So, the theoretical probability of at least one 4 on the spinners is:

P = 7/16

P = 0.4375

Hence, the theoretical probability of at least one 4 on the spinners is 0.4375

The theoretical probability and the experimental probability are different because:

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

Answer:

16.15

Step-by-step explanation:

sin(30) = a / c

a = c * sin(30)

a = 32.3 * 0.5

a = 16.15

Answer:

The smallest number all three numbers can be divided by is 4.

Step-by-step explanation:

12/4=3

16/4=4

24/4=6

Hope this helps!

If not, I am sorry.

Answer:

0.7855 square feet

Step-by-step explanation:

90/360×3.142×1 squared

=0.7855

Answer:

3/5

Step-by-step explanation:

scale factor of ab to A'B'

AB:A'B'

5 : 3

in fraction the scale

factor is 3

—

5

heance a reduction.

hope it helps thank me later

#galadohannadivine29

#carry on learning

Answer:

√x-5 = x-11 = 9.

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer: I know two methods of solving both of the sums. One is the method of elimination, the other is method of substitution. You can do any of the given methods which is easier for you. Both methods will be shown below:

1) 5x + y = 9       - - - - (i)
  10x - 7y = - 18 - - - - (ii)

eq. (i) multiplied by 2
   10x + 2y = 18  - - - - (i)
   10x - 7y = - 18 - - - - (ii)       {subtraction of eq. (ii) from eq. (i)}
    0   + 9y = 36
              y = 36/9
              y = 4

From eq. (i),
   5x + y = 9
-> 5x + 4 = 9
-> 5x = 9 - 4
->  x = 5/5
-> x = 1

So, x = 1 and y = 4

2) - 4x + 9y = 9 - - - - (i)
      x - 3y = - 6 - - - - (ii)

eq. (ii) multiplied by 3
    - 4x + 9y = 9 - - - - (i)
     3x - 9y  = - 18 - - (ii)        {addition of eq. (ii) and eq. (i)}
      - x + 0 = - 9
              x  =  9

From eq. (ii),
    x - 3y = - 6
->  9 - 3y = - 6
->  - 3y = -6-9
->  y = -15/-3
->  y = 5

So, x = 9 and y = 5

1) 5x + y = 9       - - - - (i)
  10x - 7y = - 18 - - - - (ii)

eq. (i)

  5x + y = 9
-> y = 9 - 5x

Value of eq. (i) in eq. (ii)
   10x - 7y = - 18
-> 10x - 7(9 - 5x) = - 18
-> 10x - 63 + 35x = - 18
-> 45x = - 18 + 63
-> x = 45/45
-> x =  1

From eq. (i),
   5x + y = 9
-> 5 + y = 9
-> y = 9 - 5
-> y = 4

So, x = 1 and y = 4

2) - 4x + 9y = 9 - - - - (i)
      x - 3y = - 6 - - - - (ii)

eq. (i)
   - 4x + 9y = 9
-> - 4x = 9 - 9y
-> x = (9 - 9y) / -4

Value of eq. (i) in eq. (ii)
      x - 3y = - 6
-> (9 - 9y) / -4  -3y = - 6
-> (9 - 9y + 12y) = - 6 * - 4
-> 3y = 24 - 9
-> y = 15/3
-> y =  5

From eq. (ii)
   x - 3y = - 6
-> x - 3(5) = - 6
-> x - 15 = - 6
-> x = - 6 + 15
-> x = 9

So, x = 9 and y = 5

∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
   hope it helped
┗━━━━━━━┛

Step-by-step explanation:

please mark me as brainlest

x - y = -1 multiply by 5

we get 5x -5y = -5

subtract the equations:

5x - 5y = -5

-

2x - 5y = -5

5x - 5y -(2x - 5y ) = - 5 - - 5

5x - 5y - 2x + 5y =0

3x = 0

x = 0

2(0) - 5y = -5

- 5y = -5

y = 1

[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]

There are smooth exponential curves that control price performance, capacity, and bandwidth so it easy to predict the cost of something in the future. He said, "When people think about the future they think about it lineraly.

The complete question is

"Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?

p = 1

p = q

q = 1

pq = 1"

The statement that must be true would be from option D; pq = 1.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the expression “p dollars for every q item” describes a unit price,

So, the equation will be formed as

p x q = 1

pq = 1

Hence, the statement that must be true would be from option D; pq = 1.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Answer:

1/3

Step-by-step explanation:

We multiply 33(Figure A side) by 1 /3 to get 11(Figure B side).

$2.50

Step-by-step explanation:

10 dimes are 100 aka 1 dollar, and 30 nickels make 250