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Komok [63]
3 years ago
9

Write an explicit formula for the recursive formula A(n) = A(n - 1) + 3; A(1) = 6

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

a_{n} = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

a_{n} = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

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If the scale factor is 5/3 what is the width of the new rectangle?
vlada-n [284]

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

7 0
3 years ago
Solve the system of equations below by graphing both equations with a
Marat540 [252]
Graph using slope and the y intercept

So y=x+5
You would plot the y intercept (0,5) and then go up 1 and to the right 1

The next graph plot y intercept (0,-1) and then go down 2 and to the right 1

And should look like the image

And your solution should be (-2,3) which is option c

4 0
3 years ago
Is my answer correct? if not please correct me
prisoha [69]
The answer is: A - f(x) = 1/2 cos (x)

7 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

6 0
2 years ago
Help please question in the picture
Delvig [45]

Answer:

A. 361 meters squared

Step-by-step explanation:

hope it helps:)

6 0
3 years ago
Read 2 more answers
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