Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1? 3, –6, 12, –24, 48, … f (n 1) = –3 f(n ) f (n 1) = 3 f(n ) f (n 1) = –2 f(n ) f (n 1) = 2 f(n)

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

[tex] \sf x - \frac{4}{x} + C[/tex]

Step-by-step explanation:

[tex] \sf \longmapsto \int \frac{ {x}^{2} + 4 }{ {x}^{2} }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^{2} }{ {x}^{2} } dx + \int \frac{4}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^{ -2 + 1}}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - \frac{4}{x} + C} [/tex]

Deductive Reasoning is the practice of arriving at a mathematical conclusion by simply analyzing the facts using the knowledge of the related concepts.

Looing at ΔOAB and ΔOEF

It is clear that

OB = OF (O is the midpoint)

∠OBA = ∠OFE = 90°

Therefore

∠AOB = ∠EOF (Vertically Opposite Angles)

⇒ ΔOAB ≅ ΔOEF and

∠ A ≅ ∠E.

QED

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Answer:

2M + 3  hrs

Step-by-step explanation:

Lisa spent doing her mathematics homework = M  hrs

the amount of time spent watching television was 3 hours more than twice the time she spent doing her mathematics homework.

lisa spent on watching television = 2M + 3  hrs

Total time spent on these two activities = M + 2M + 3

= 3M + 3 hrs

3 M  +  3 = 30

=> 3M  = 27

M = 9

Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%

Answer:

6x4 feet

Step-by-step explanation:

6 x 4 = 24

6 - 3 = 3

4 - 1 = 3

Answer:

Given units of measures of volume:

Units of measure:

1. Water in a rectangular pool → m³

2. an ice cube before it melts → cm³

3. a dice → mm³

4. a blackboard eraser → cm³

5. oil in a rectangular box → dm³

To convert liters to cubic meters, divide by 1000:

⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³

To convert liters to cubic centimeters, multiply by 1000:

⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³

Answer:

CE = 4.6 ft

Step-by-step explanation:

(a)

given 2 secants drawn from an external point to the circle , then

the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

BE × BC = AB × DB

(b)

substituting given values into the equation

BE × 10 = 3 × 18

10 BE = 54 ( divide both sides by 10 )

BE = 5.4 ft

then

CE = CB - BE = 10 - 5.4 = 4.6 ft

Step-by-step explanation:

I think 2.20e23 because it said bodies not body

Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

2 raise to the power of 4, which means 2*2*2*2

In the scenario above,  James can we create a function to combine the two by   f ( x ) = 8 x + 118.

In the question above, to be able to create a function, we have to show that;

s ( x ) = 102  

a ( x ) = 8 ( x + 2 )

So, a function that combines the two will be:

f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =

= 102 + 8 x + 16

Therefore    f ( x ) = 8 x + 118

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Answer:

2nd answer is correct

Step-by-step explanation:

We know that,

[tex]\sqrt{x} =x^{\frac{1}{2} }[/tex]

[tex]\sqrt[3]{x}=x^{\frac{1}{3} }[/tex]

By following the above, we can solve the answer to the question.

Let us solve this now

⇒ [tex]\sqrt[3]{x^5y}[/tex]

⇒  [tex]x^\frac{1}{3}^*^5y^\frac{1}{3}[/tex]

⇒  [tex]x^\frac{1*5}{3}y^\frac{1}{3}[/tex]

⇒  [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have a graph of a hyperbola:

[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]

The above equation represents the hyperbola.

We can write the above equation as:

[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]

The vertical asymptotes: x = 2

The horizontal asymptotes: y = 3

Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

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The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

Step-by-step explanation:

#Hopeithelps

Answer:

3

Step-by-step explanation:

18-15=3

Answer:

first option, 3

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Q1 is the lower bound of the box = 15

Q3 is the upper bound of the box = 18

 Q3 - Q1

= 18 - 15

= 3

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

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Answer:

2.4 is the answer I think

Step-by-step explanation:

I got you I think

Answer:

1) h= 19.4

2) p=1/2

3) k= 75

4) k= 75

5) m=18

6) t= -11

Step-by-step explanation:

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

Answer:

$878.80

Step-by-step explanation

Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)

By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

In this question we have a quadratic function which must be factored by algebraic handling:

- 7 · x - 60 = x² + 10 · x

x² + 10 · x + 7 · x + 60 = 0      Compatibility with addition/Modulative property

x² + 17 · x + 60 = 0      Definition of addition

(x + 5) · (x + 12) = 0      x² + (- a - b) · x + a · b = 0/Result

By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

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The fraction of the red haired students are boys will be 2 / 5.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The dual bar chart shows the hair colour of boys and girls in a year group.

The total number of the boys and girl will be

Total = 6 + 9

Total = 15

Then the fraction of the red haired students are boys will be

⇒ 6 / 15

⇒ 2 / 5

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Answer:

Slope: -8

Y intercept: (0,1)

Step-by-step explanation:

^^^^

Answer:

[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]

[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]

Step-by-step explanation:

Hi student, let me help you out.

................................................................................................................

First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].

In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".

Looking back at our equation, let's work out the slope & y intercept.

Let's put these two equations together:

[tex]\mathtt{y=mx+b}[/tex]

[tex]\mathtt{y=-8x+1}[/tex]

See what I mean? The y intercept of this equation is 1 and the slope is -8.

Hope this helped you out! Ask in comments if any queries arise.

Best wishes from "reflect"!

[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{6}}[/tex]

Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).

Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.

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Answer:

2

Step-by-step explanation:

4 and 8

Answer:

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

Answer:

K=4.44444444444

Step-by-step explanation:

k/6=15/18.

Cross multiply.

k*18=18k.

6*15=80.

18k=80.

18k/18=80/18.

k=4.44444444444

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

Answer:

The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7