MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answer:

-43, -8, 1/3, 71, 94

If you meant that 71 is a mixed fraction:

-43, -8, 71 1/3, 94

Answer:

Please check the explanation.

Step-by-step explanation:

(a) What is the recursive rule for the sequence?

Given the sequence

6, 18, 54, 162,...

Please note that each successive term is 3 times the previous term.

i.e. 18 = 6×3, 54 = 18×3, 162 = 54×3

Here, r = 3 is the common multiplier

In other words, every next term can be obtained by multiplying the previous term by a number 'r', using the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

Here, aₙ is r times the previous term aₙ₋1.

For example, in order to determine the 2nd term a₂, just put n=2 in the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

so substituting r = 3, and n = 1 in the recursive formula

[tex]a_2=a_{2-1}\times 3[/tex]

[tex]a_2=a_1\times \:3\:\:\:\:\:\:[/tex]

as

a₁ = 6

so

[tex]a_2=6\times \:3\:\:\:\:\:\:[/tex]

[tex]a_2=18[/tex]

(b) What is the iterative rule for the sequence?

Given the sequence

6, 18, 54, 162,...

A geometric sequence has a constant ratio 'r' and is defined as

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]\frac{18}{6}=3,\:\quad \frac{54}{18}=3,\:\quad \frac{162}{54}=3[/tex]

The ratio of all the adjacent terms is the same and equal to, so

r = 3

as

a₁ = 6

so substituting r = 3 and a₁ = 6 in the nth term of the sequence

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=6\cdot \:3^{n-1}[/tex]

Thus, the iterative rule for the sequence is

a) The recursive rule for the sequence is [tex]a_n=3a_{n-1}[/tex]

b) The iterative rule for the sequence is [tex]a_n=2(3^n)[/tex]

The given sequence is:

6, 18, 54, 162, …

The common ratio, r = 18/6

r  =  3

Let the last term be [tex]a_n[/tex]

Let the preceding term be [tex]a_{n-1}[/tex]

The recursive rule for the sequence is given as:

[tex]a_n=a_{n-1}r\\\\a_n=3a_{n-1}[/tex]

b) The iterative rule is gotten by using the formula:

[tex]a_n=ar^{n-1}[/tex]

Substitute a = 6 and r = 3 into the formula above

[tex]a_n=6(3)^{n-1}\\\\a_n=\frac{6}{3}(3^n )\\\\a_n=2(3^n)[/tex]

Learn more on sequence here: https://brainly.com/question/6561461

Answer:$31.36

Step-by-step explanation:

Answer:

The 5th term:

a₅ = 18

Step-by-step explanation:

We know that Arithmetic sequences have a constant rate of change.

Given

The nth term of the Arithmetic sequence with a₁ and 'd' is defined as

aₙ = a₁ + (n-1)d

Where

a₁ is the first term

d is the common difference

as

a₃ = 12

d = 3

so

Plug in n=3

a₃ = a₁ + (3-1)d

Now Plug in a₃ = 12 and d = 3

12 = a₁ + (3-1)3

12 = a₁ + 2(3)

12 = a₁ + 6

a₁ = 6

so

Formula to find the 5th term

a₅ = a₁ + 4d

Plug in a₁ = 6 and d = 3

a₅ = 6 + 4(3)

a₅ = 18

Therefore, the 5th term:

a₅ = 18

Answer:

it's the first one. I hope you get a good grade

Answer:

Answer: -15x3y7

Step-by-step explanation:

Answer:

-15x3y7 is the answer

Step-by-step explanation:

Answer:

$0.36

Step-by-step explanation:

12*3       36

____ =____

100      100

ma'am/sir please this is a Wendy's

0.08$

Step-by-step explanation:

1yrd=36inch

3yard=108inch

108 inch costs 8.64$

8.64/108=0.08$ ( 1 inch cost)

Answer:

Ver desarrollo en los parrafos que siguen

Step-by-step explanation:

El problema describe todos los pasos para llegar al sistema the equaciones:

y = x^2

y = m x + 4 - 2 m

Luego igualamos las cantidades 'y" y llegamos a la siguiente ecuacion cuadratica en "x":

x^2 = m x + 4 - 2m

luego restamos "m x" y "4" de ambos lados, y sumamos "2 m" de ambos lados para terminar con una ecuacion cuadratica igualada a cero para poder aplicar la equacion cuadratica

x^2 - m x - 4 + 2 m = 0

similar a:

a x^2  + b x + c = 0

donde

a = 1; b = "-m"; y c = "2 m - 4"

Luego usando la ecuacion cuadratica:

nos da de resultado:

[tex]x=\frac{m+/-\sqrt{m^2-4(1)(2m-4)} }{2(1)}[/tex]

Y para que la solucion sea UNICA, es necesario que la cantidad dentro de la raiz sea "cero" de modo que de solamente la solucion

x = m/2

Ahora, requiriendo que el determinante the la ecuacion cuadratica sea cero es:

[tex]m^2-4(2m-4)=0\\m^2-8m+16=0\\(m-4)^2=0\\m-4=0\\m=4[/tex]

ya que reconocemos que el trinomio m^2-8m+16 es un binomio quadrado perfecto; (m-4)^2

Y pidiendo que that binomio quadrado sea cero, es lo mismo que requerir que el binomio (m-4) sea cero, lo que significa que m = 4.

De esta manera, obtuvimos la pendiente "m" de nuestra recta:

y = m x + b

y = 4 x + b

Y como conociamos el valor de "b" usando el hecho de que el punto (2, 4) esta en la recta:

4 = 4 (2) + b

4 = 8 + b

4 - 8 = b

b = -4

Por lo tanto, la ecuacion dela recta es:

y = 4 x - 4

Answer:

(34-4)/2

Step-by-step explanation:

First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D  

Answer:

a=26 / 56 and b = 46.4 percent

Step-by-step explanation:

From the question, the Approximate value is given as = 56

While the Exact value is given as 30

Error

Absolute error= 56-30=26

Where Ratio= a= error/Approximate value=26/56

Percent error = b= 26/56×100%=46.4

it's a

have an nice day day

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

Answer:

that they both have right angles and have a leath of 5

Step-by-step explanation:

Answer:

5 5/8 or Decimal: 5.625

Step-by-step explanation:

Hope this helps!!!

Brainliest?

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

i dont have one. i just did it.

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

Answer:

False

Step-by-step explanation:

5x+3y=8

4x+7y=34

Then:

5x+4x+3y+7y=9x+10y

9x+10y=43 not 9x-10y

Answer:

7x50=350

Step-by-step explanation:

Answer:

The slope is 4

Step-by-step explanation:

hope this helps!

Answer:

31.15

Step-by-step explanation:

Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation:

Answer:

slope: 2.7

y-intercept: (0,8)

Step-by-step explanation:

In the form y = mx + b, m is the slope and b is the y-intercept.

Answers:

2 sedans and 3 vans

=====================================================

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

3x+7=y

Step-by-step explanation:

Answer:

Janet reads 13.865 pages in 4.7 minutes.

Step-by-step explanation:

Given that Janet can read 2.95 pages of a book in a minute.

As she reads for 4.7 minutes.

We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.

i.e.

4.7 × 2.95 = 13.865 pages

Therefore, Janet reads 13.865 pages in 4.7 minutes.

Answeeeeeeeeeeerrrrrrrrrrrrrrr:

36

Answer:

A. (y - 2) = 5(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Slope m = 5

Step 2: Write Equation

Substitute in variables into general form.

y - 2 = 5(x + 3)

Answer:

optimal price = $35

Maximum profit = $3400

Step-by-step explanation:

We are given;

The annual fixed cost for the hominy harvesting and other equipment = $200

The variable cost per case = $20

Since demand is given as v, thus total variable cost = 20v

Thus;

Overall total cost = fixed cost + total variable cost = 200 + 20v

We are given relationship between p and v as;

v = 800 - 16p

Making p the subject gives;

p = (800 - v)/16

Now, total revenue is given by;

Total Revenue = vp

Thus;

Total revenue = v[(800 - v)/16] = 50v - v²/16

Now, profit will be;

Profit(P) = Total revenue - total cost

P = (50v - v²/16) - (200 + 20v)

P = 50v - (v²/16) - 200 - 20v

P = 30v - (v²/16) - 200

Maximum profit will be at dP/dv = 0

Thus;

dP/dv = 30 - (v/8)

At dP/dv = 0

30 - (v/8) = 0

v/8 = 30

v = 30 × 8

v = 240

Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.

Thus;

p = (800 - 240)/16

p = 560/16

p = $35

So, optimal price = $35

Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.

Thus;

P = 30(240) - (240²/16) - 200

P = 3400

Maximum profit = $3400