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UkoKoshka [18]
3 years ago
5

Explicit and Recursive Functions:

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.

For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)

Therefore:

(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>

Solving for a and b we have:

a = 6
b = 12

Finally:

f(n) = 6n + 12</span>
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May someone solve and give explanation
torisob [31]

Answer:

x = 15.7945

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 33°

Opposite Leg = <em>x</em>

Hypotenuse = 29

<u>Step 2: Find Angle</u>

  1. Substitute in variables [sine]:                                                                           sin33° = x/29
  2. [Multiplication Property of Equality] Multiply 29 on both sides:                    29sin33° = x
  3. Rewrite:                                                                                                             x = 29sin33°
  4. Evaluate:                                                                                                           x = 15.7945
7 0
3 years ago
Which of the following best describes the folding method needed to create a
vivado [14]

Fold tracing paper so that the line segment's endpoints line up with each other ,  Option D is the correct answer.

<h3>What is a Perpendicular ?</h3>

A perpendicular is a line drawn at 90 degree to a given line or line segment .

Fold tracing paper so that the line segment's endpoints line up with each other.

After drawing a line segment ,

when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.

Therefore,  Option D is the correct answer.

To know more about Perpendicular

brainly.com/question/18271653

#SPJ1

3 0
1 year ago
Drag values to order them from least to greatest, with least at the top.
GenaCL600 [577]
To solve this problem you must apply the proccedure shown below:

 1- You must rewrite each value shown in the picture attached, in decimal form, as following:

 6π-6=12.84
 π^3=31
 √99=9.94

 2- Now, you can order the values from least to greatest:

 √99
 6π-6
 π^3

 The answer is:

 √99
 6π-6
 π^3
 

 
3 0
3 years ago
Read 2 more answers
What is the circumference of a circle is 22 pi yards. Find the radius of the circle in terms of pi
Ganezh [65]

Answer:

r=C

2π

Step-by-step explanation:

3 0
3 years ago
What is the slope of the line that passes through the pair of points?
Nostrana [21]

Answer:

slope(m)=(-33/2)

Step-by-step explanation:

3 0
2 years ago
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