Which graph below shows the rule output = 2x input

nirvana33 [79]

"One more than" means something plus 1
+ 1

"Four times a number" means an unknown value multiplied by 4
4x

Final answer:
4x + 1

Hope this helps!
:)

3 0

3 years ago

Read 2 more answers

Which function can be used to represent the graphed geometric sequence? f(x) = 80(One-fourth) Superscript x minus 1 f(x) = 320(O

telo118 [61]

You can use the formula for getting the xth term of a geometric sequence for the graphed points.

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

<h3>What is a geometric sequence and how to find its xth terms?</h3>

There are three parameters which differentiate between which geometric sequence we're taking about.

The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is $a$ and the term by which we multiply the previous term to get the next term is $r$

Then the sequence would look like

$a, ar, ar^2 , ar^3 ....$

(till the terms to which it is defined)

Thus, the xth term of such sequence would be

$f(x) = \text{xth term} = ar^{x-1}$

<h3>How to find the function representing the graphed geometric sequence?</h3>

The points plotted in the graph are

(1,80), (2, 20), (3, 5)

The x coordinate shows the position of the term and the y coordinate shows the value of that position's term in the sequence.

So we have the sequence as

$80, 20, 5 ...$

Thus, a = 80

and we have

$r = \dfrac{ar}{a} = \dfrac{20}{80} = \dfrac{1}{4}$

Thus, the multiplication factor for the given sequence is r = 1/4

Thus, by using the xth term formula, we have:

$f(x) = \text{xth term} = ar^{x-1} = 80 \times (\dfrac{1}{4})^{x-1}\\\\f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Thus,

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Learn more about geometric sequence here:

brainly.com/question/11266123

8 0

3 years ago

What is 7÷10 in faction form and improper fraction form

leonid [27]

Answer:

a) 7/10

b) There is no improper fraction form for this

5 0

3 years ago

X+6=0 <br>3x-2y = 10<br>simultaneous equations<br><br><br>

inna [77]

X=-6
3(-6)-2y=10
-18-2y=10
2y=10+18
2y=28
Y=28/2
Y=14

3 0

3 years ago

Read 2 more answers

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