As you move to the right of this place value chart you are multiplying by what value

Hi there!

[tex]f(x)+f(x+1)=4f(x)[/tex]

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

1) f(x)

We're given that  [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x)=3^x[/tex]:

2) f(x+1)

Now, we must find f(x+1). To do so, add 1 to x in the original function [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x+1)=3^x^+^1[/tex]

3) 4f(x)

To find 4f(x), multiply the original function [tex]f(x)=3^x[/tex] by 4:

[tex]4f(x)=4*3^x[/tex]:

4) Put it all together

Now, plug each of the three parts into the equation [tex]f(x)+f(x+1)=4f(x)[/tex]:

[tex]f(x)+f(x+1)=4f(x)[/tex]

[tex]3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x[/tex]

Factor the left side

[tex]3^x*(1+3)=4*3^x[/tex]

Divide both sides by 3^x

[tex]1+3=4\\4=4[/tex]

Because this equation is true, [tex]f(x)+f(x+1)=4f(x)[/tex] is therefore true.

I hope this helps!

Answer:

47

Step-by-step explanation:

Do long division.

7 goes into 32, 4 times.

32 - 28= 4

7 goes into 49, 7 times.

Therefore 47 is correct.

Answer:

64 ivy stems

Step-by-step explanation:

72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece

Create an equation with x being the amount of ivy stems needed.

x / 16 = 4

x = 64

Answer:

1)C 2)A  3)D

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

nAuB=nA+nB-nA∩B. take nA as x

now substitute

59=x+33-12

59=x+21

x=59-21

x=38

Answer:

1/c^102

Step-by-step explanation:

C^-24 * c^9 * c^-87

When we multiply exponents with the same base, we add the exponents

c^(-24+9+-87)

c^(-102)

We know that a^-b = 1/a^b

1/c^102

Answer:

Step-by-step explanation:

[tex]a^{m} *a^{n} = a^{m+n}\\\\\ a^{-m}=\dfrac{1}{a^{m}}\\\\\\c^{-24}*c^{9}*c^{-87}=c^{-24+9-87}\\\\=c^{-102}\\\\=\dfrac{1}{c^{102}}[/tex]

Answer:

42.395

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.919191....It can be represented as a fraction. You can always make repeating decimals into fractions.

It does not terminate. 91 will go on forever. It's a repeating decimal

We don't know what the second one does. You are likely not supposed to say it repeats; it certainly does not terminate. It cannot be made into a fraction.

0.555 This terminates. It can be written as a fraction.

It can be written as a fraction. It repeats. It contains a repeating decimal which can always be written as a fraction.

Answer:

2^7

Step-by-step explanation:

2 * 2^3 *8

Rewriting 8

8 = 2^3

2 * 2^3 * 2^3

We know that a^b * a^c = a^(b+c)

2^1 * 2^3*2^3

2^(1+3+3)

2^7

USE (m a t h w a y) its real easy to use

Step-by-step explanation:

A data summation is a collection of values.

The Sequence:

1 , 1+2 , 1+2+3 , 1+2+3+4, ...

here, every term is an AP. finding the general formula for the sum of the elements of each term is:

Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex]        [where x = number of term, a = first term and d = common difference]

here, the first term is always 1 and so is the common difference.

Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]

Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]

which is the formula for a general term in our series

now, we need to find the sum of the first n terms of this series

[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]

[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]

in this formula, for the first term, it's just an AP from x = 1 to x = n

for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]

[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

in this AP (first term), the first term and the common difference is 1 as well

[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]

[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]

[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]

[tex]\frac{n(n+1)(n+2)}{6}[/tex]

which is the sum of n terms of the given sequence

9514 1404 393

Answer:

Step-by-step explanation:

The given expression says ...

  [tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]

Answer:

D

Step-by-step explanation:

Substitute the co-ordinates if a and b in the distance formula and you will get the answer as sq root of 90 which is D

Answer:

500pounds×1.23euros

Answer:

four lines axes of symmetry does a square have

Angle B is 90 degrees so angle A and c when added also equal 90:

7x + 8 + 3x + 2 = 90

Simplify:

10x + 10 = 90

Subtract 10 from both sides

10x = 80

Divide both sides by 10

X = 8

Now you have x calculate angle A:

7x + 8 = 7(8) + 8 = 56 + 8 = 64

Answer: C. 64

Answer:

C

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , so

7x + 8 + 3x + 2 + 90 = 180 , that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

Then

∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C

Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

Answer:

21x4 + 8x3 - 40x2 + 15

Step-by-step explanation:

expand using distributive property.

The length of the canvas where Melany will mark the position of the hanger is 1.6 feet.

The given parameters:

length of the canvas = 8 feet

dimension of the hanger = [tex]\frac{1}{5} \ of \ the \ shoe's \ length[/tex]

To find:

The length of the canvas where Melany will mark the position of the hanger is calculated as follows:

[tex]location \ of \ the \ hanger = \frac{1}{5} \times 8\ ft\\\\location \ of \ the \ hanger = 1.6 \ ft[/tex]

Thus, the length of the canvas where Melany will mark the position of the hanger is 1.6 feet.

Learn more here: https://brainly.com/question/17765207

[tex]thank \: you[/tex]

Answer:

I don't understand please can you explain to me

Answer:

1/3

a dice has 6 sides and the probability of getting 4 or 5 is just 2/6 which simplifies to 1/3

Step-by-step explanation:

[tex]thank \: you[/tex]

A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

Answer:

-2, 2

Step-by-step explanation: