Which graph represents the equation y – 4 = -1/3(x-2)

Answer:

Given equation:

Solving for p:

p - any real number

We can state the initial expression is correct for any value of p.

Answer:

True for all p

Step-by-step explanation:

Given equation:

  [tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]

Multiply both sides by [tex]2 \times 3^p[/tex]:

[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]

Add [tex]3^p[/tex] to both sides:

[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]

[tex]\implies 3^{p+1}=3 \times 3^p[/tex]

Rewrite 3 as 3¹:

[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 3^{p+1}=3^{1+p}[/tex]

[tex]\implies 3^{p+1}=3^{p+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies p+1=p+1[/tex]

Subtract 1 from both sides:

[tex]\implies p+1-1=p+1-1[/tex]

[tex]\implies p=p[/tex]

Therefore as both sides are equal, true for all p.

Answer:

c

Step-by-step explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c

Step-by-step explanation:

1.40x + 2.60x = 480

4x =480

x=480÷4

x=120

168 and 312

Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

Answer:

-118

Step-by-step explanation:

Since he is withdrawing, the value of 20 will be negative.

And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.

So,

-20 x 9 = -118

HI how was your day today

Answer:

97

Step-by-step explanation:

[tex] {4}^{2} + 3(37 - (2 \times 5)) \\ {4}^{2} + 3(37 - 10) \\ {4}^{2} + 3(27) \\ {4}^{2} + 81 \\ 16 + 81 \\ 97[/tex]

Hope this helps! Brainliest would be really appreciated!

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

Two point three tens times m equals zero point forty six hundredths

The given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be written in the form of an statement as:

Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

Hence, the given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and  four times of t.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer: x = 26

                    1

                     -

                     4

Answer:

16.8

Step-by-step explanation:

we have to do  Unitary method.

when y=15 then x=12

when y=1 the x=12/15

when y=21 then x=(12*21)/15

x=16.8

Answer:

Jake made 7 bead strings

Step-by-step explanation:

The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.

Answer:

Step-by-step explanation:

You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.

Let the number of necklaces he can make = x

The total number of beads = 56

2x + 6x = 56

8x = 56                     Divide by 8

8x/8 = 56/8

x = 7

So the number of necklaces possible is 7.

If you insist on doing this with ratios then you could do it as

2/8 = x/56   What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.

2/8 = x/56                         Cross multiply

2 * 56 = 8x                        Divide both sides by 8

2 * 56/8 = x

x = 14.

That means of the 56 beads used, 14 of them are red.

6/8 = y / 56                      Cross multiply

6*56 = 8y

336 = 8y                           Divide by 8

336/8 = 8y/8

y = 42

This means that 42 beads were white

 The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.

Hello!

(9,5)

3 units left: (6, 5) (we subtract 3 from the x-coordinate)

1 unit up: (6, 6) (we add 1 to the y-coordinate)

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

Los lados de la lista cuadrada que le fabricaron  miden 15 m

Step-by-step explanation:

Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:

Ac = a²

Donde a es la medida de los lados del cuadrado.

Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:

a = √(Ac)

a = √(225 m²)

a = 15 m

Los lados de la lista cuadrada que le fabricaron  miden 15 m

Respuesta:  Los lados de la lista cuadrada que le fabricaron  miden 15 m

Explicación paso a paso:

Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:

Ac = a²

Donde a es la medida de los lados del cuadrado.

Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:

a = √(Ac)

a = √(225 m²)

a = 15 m

Los lados de la lista cuadrada que le fabricaron  miden 15 m

Answer:

88 miles per hour

Step-by-step explanation:

12 + 122 = 134 minutes for the entire journey

The total distance was 197 miles.

The avarage speed is the total distance divided by the total time:

Convert the time from minutes to hours dividing it by 60:

134/60 = 2.24 hours

197/2.24 = 87.95 ≈ 88 miles per hour

Answer:

It is not a polynomial because the polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative entegral value or we can say natural number. The power of the variable × here is not an integer so 3/× is not a polynomial

Step-by-step explanation:

I hope I helped you

Answer:

below

Step-by-step explanation:

-x/3 + x³ is polynomial

3ˣ IS NOT a polynomial, it makes the function be an  "exponential function", which does not fit the criteria of polynomial definition.

Answer:

9.5km/hr and 16.667m/s

Step-by-step explanation:

velocity = Distance / Time

v = 19/2  -->  v = 9.5km/hr

v = 2000m/120s --> v = 16.66666667m/s

Answer:

0.2

Step-by-step explanation:

Answer:

3168 cubic feet OR 3168ft^3

Step-by-step explanation:

22×18×8=3168ft^3

Answer:

(3, 6)

(0, -1/2)

Step-by-step explanation:

in a function like f(x)

The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function

_____

f(3) = 6 means when the function f is at x = 3, the function, f = 6.

so it would be (3, 6)

g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.

so it would be (0, -1/2)

Answer:

x = 38.8

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer:

2/3( x^2 + 5 ) = 14 or 2/3x^2 - 32/3

Step-by-step explanation:

Part 1:

Two-thirds ( 2/3 )

of the ( (---) )

sum ( + )

of a number squared ( x^2 ) and 5 ( + 5 )

is fourteen ( = 14 )

Part 2 (Not super confident about):

2/3( x^2 + 5 ) = 14

2/3x^2 + 10/3 = 14

2/3x^2 - 32/3

Hopefully this helps!

Brainliest please?

Answer: 25% did not pass the quiz:)

Step-by-step explanation:

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

Answer:

107 concert tickets were bought

Step-by-step explanation:

Answer:

e0

Step-by-step explanation:

X would be 10, and 2 because:

(10-10) = 0 and (2-2) = 0

The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.

Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.