If [tex]f(x)=3^x[/tex], prove that [tex]f(x) + f(x+1)=4f(x)[/tex]

Answer:

-2

Step-by-step explanation:

brackets first

12 - 9 = 3

Then square it

3^2 = 9

Now multiply by 2

9*2 = 18

finally get - 5 * 4 = - 20

and put them both together

18 - 20 = - 2

Answer:

Translation:

1. Movement of furniture

2. Airplane positioning within a taxiway

3. The position of the mouse cursor on your computer

Reflection:

1. A mirror

2. A double-door exit at school

3. Chairs facing each other at school

Rotation:

1. The Earth's rotation

2. Hands on a clock

3. A carousel

Dilation/Stretch:

1. A balloon expanding

2. A balloon deflating

3. Biological growth

Transformation involves changing the position and/or size of a shape. Some real world examples of transformation are:

Translation: Mouse cursor

Reflection: Mirror

Rotation: The clock

Dilation: Magnifying lenses

Translation

When an object is moved away from its original position, then the object has been translated. Real world examples include:

Reflection

When an object is flipped from its original position, then the object has been reflected. Real world examples include:

Rotation

When an object is turned around a center, then the object has been rotated. Real world examples include:

Dilation

When the size of an object is changed in equivalent proportions, then the object has been dilated. Real world examples include:

See attachment for examples of each transformation

Read more about transformations at:

https://brainly.com/question/11707700

Answer:

Machine A is 5, machine B is 6, and machine c is 3. Therefore C is the fastest.

Step-by-step explanation:

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

Answer:

B.) 0

Step-by-step explanation:

I got it correct on founders edtell

El volumen de material requerido para la construcción de la escultura es:

[tex]V_{tot}=122,26\: m^{3}[/tex]

Esta escultura esta compuesta de dos volúmenes, un prisma de base hexagonal y una pirámide de base hexagonal. Calculemos el volumen de cada figura por separado, para luego sumarlos.

Prisma

La ecuacion del área de un hexágono está dada por:

[tex]A_{hex}=\frac{P*a}{2}[/tex]

Donde:

Entonces el área será:

[tex]A_{hex}=\frac{24*3,4}{2}[/tex]

[tex]A_{hex}=40,8\: m^{2}[/tex]

Ahara, el volumen de un prisma de base hexagonal está dada por:

[tex]V_{prisma}=A_{hex}*h[/tex]

h es la altura del prisma, en nuestro caso h = 2 m.

Entonces:

[tex]V_{prisma}=40,8*2[/tex]

[tex]V_{prisma}=81,6\: m^{3}[/tex]

Pirámide

El volumen de una pirámide de base hexagonal está dado por:

[tex]V_{piramide}=\frac{A_{hex}*H}{3}[/tex]

Donde:

Nosotros tenemos la apotema del volumen 4,53 m, por lo tanto podremos calcular H usadon el teorema de pitagoras.

[tex]4,53^{2}=a^{2}+H^{2}[/tex]

[tex]4,53^{2}=3,4^{2}+H^{2}[/tex]

[tex]H=2,99\: m[/tex]

Por lo tanto el volumen de la pirámide será:

[tex]V_{piramide}=\frac{40,8*2,99}{3}[/tex]

[tex]V_{piramide}=40,66\: m^{3}[/tex]

El volumen total del material necesario será:

[tex]V_{tot}=V_{prisma}+V_{piramide}[/tex]

[tex]V_{tot}=81,6+40,7=122,26\: m^{3}[/tex]

Puedes aprender más de volúmenes aquí:

brainly.com/question/15597483

Espero te haya sido de ayuda!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{2}x+7[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

the class started a new one

Answer:

the awnser is 20 bc 4 x 5 = 20

The total number of tokens needed for v video games is 4v.

Number of tokens needed per game = 4 tokens

Number of video games = v

Total number of tokens needed = Number of tokens needed per game × Number of video games

= 4 × v

= 4v

Therefore, if the 6 video games are played;

Total number of tokens needed = 4v

= 4 × 6

= 24 tokens

Read more on cost:

https://brainly.com/question/28147009

#SPJ2

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

Learn more about arithmetic progression at: https://brainly.com/question/6561461

#SPJ2

Answer:

Rachel will make 30 free-throws!

Step-by-step explanation:

Hello!

I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!

Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!

Hope this helped! Let me know if you have any further questions! :)

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]

6k · 1/6 = 6/6k = k

.......

Step-by-step explanation:

hopefully it is clear and understandable

:)

Answer:

A. 6^-12

Step-by-step explanation:

This is a "power of a power"--so we multiply the exponents

(6^4)^-3 = 6^(4*-3) = 6^-12

Answer:

B

Step-by-step explanation:

The correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.

In geometry, a vertical shift otherwise known as vertical translation, is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system. In simpler terms, it is a shift in which a plane figure moves vertically.

Given that g(x) = f(x) + 5. We need to find that which statement best compares the graph of g(x) with the graph of f(x),

So,

If f is any function of x, then the graph of the function f(x) + c, may be obtained by a vertical translation of the graph of f(x) by distance c.

For this reason, the function f(x) + c is sometimes called a vertical translate of f(x).

Hence, the correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.

Learn more about vertical shifting click;

https://brainly.com/question/20518934

#SPJ5

Answer:

how did the "X" on the right get to the left...

to remove it you have to SUBTRACT ...

you added "X" to both sides that was/is the error in your attempt

Step-by-step explanation:

-2x + 5(x-1) = -11 + x

-2x + 5x - 5 = -11 +x

3x - 5 = -11 + x

2x - 5 = -11

2x = -6

x = -3

Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

a)

Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:

Find the slope, m:

The value of b is 42000, since at t = 0, V = 42000

So the equation is:

b)

The graph is attached.

When V = 72500, t = 9.6 (approximately)

c)

When V = 74000

d)

When V = 80250

Answer:

C

Step-by-step explanation:

all whole numbers can be written as fractions that is over 1

Answer:

Think u have to find out what the x means and go from there

Answer:

25 - (6 x y) + (3 x y) = -56, y = 3.44

Step-by-step explanation:

-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44

it's a repeating number so uh yeah

y = 3.44

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Answer:

see explanation

Step-by-step explanation:

(a)

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7

(b)

Similarly substitute x = - 3 and x = 3 into f(x)

f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27

f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27

(c)

let f(x) = 0 , then

9 - 4x² = 0 ( add 4x² to both sides )

9 = 4x² ( divide both sides by 4 )

[tex]\frac{9}{4}[/tex] = x² ( take the square root of both sides )

± [tex]\sqrt{\frac{9}{4} }[/tex] = x

± [tex]\frac{\sqrt{9} }{\sqrt{4} }[/tex] = x

± [tex]\frac{3}{2}[/tex] = x

That is x = - [tex]\frac{3}{2}[/tex] or x = [tex]\frac{3}{2}[/tex]

Answer:

5(14-2)^2÷2=360

Step-by-step explanation:

Further explanation

We at present undergo the following operations: addition, subtraction, multiplication, and division. When given an expression sometimes we confuse operations which must take precedence.

In the 1500s the rules of the order of operation were issued. The "order" of these operations states which processes take precedence (as a priority) before which other operations.

The priority of operations is:

Brackets (simplify in it)

Exponent

Multiplication and Division (from left to right)

Addition and Reduction (from left to right)

Answer:

yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get

85571.5 with decimal include

Answer:

It's two inches

Answer:

The value of x that minimizes the total area of the two squares is x = 5.

Step-by-step explanation:

A wire 10 centimeters long is cut into two pieces, with one piece measuring x centimeters and the other (10 - x) centimeters.

Each piece is bend into the shape of a square, and we want to find the value of x that minimizes the total area of the two squares.

If x is bend into a square with four equivalent sides, then each side measure:

[tex]\displaystyle A = \frac{x}{4}[/tex]

Likewise, each side of the second square will measure:

[tex]\displaystyle A = \frac{10-x}{4}[/tex]

The area of a square is its side squared. Hence, the area of both squares will be given by:

[tex]\displaystyle T = \left( \frac{x}{4}\right) ^2 + \left(\frac{10-x}{4}\right)^2[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} T &= \frac{x^2}{16} + \frac{x^2 - 20x + 100}{16} \\ \\ &=\frac{2x^2-20x+100}{16}\\ \\ &= \frac{1}{8}x^2-\frac{5}{4}x+\frac{25}{4} \end{aligned}[/tex]

Since this is a quadratic with a positive leading coefficient, the minimum value will occur at the vertex point.

Recall that the x-coordinate of the vertex is given by:

[tex]\displaystyle x = -\frac{b}{2a}[/tex]

In this case, a = 1/8 and b = - 5/4. Hence:

[tex]\displaystyle x = -\frac{\left(-\dfrac{5}{4}\right)}{2\left(\dfrac{1}{8}\right)} = 5[/tex]

In conclusion, the value of x that minimizes the total area of the two squares is x = 5.