Angela painted 4 pictures in 7 days. She paints additional pictures at the rate of 1 per day. Which recursive function gives the total number of pictures she will have painted at any day in the future? How many pictures will she have painted if she paints for another 5 days after the initial week?

Answers

Answer 1

Answer:

The recursive function gives the total number of pictures Angela will have painted at any day in the future is:

PP(t) = t + [tex]\frac{4}{7}t[/tex]

The number of pictures will she have painted if she paints for another 5 days after the initial week is:

18.86

Step-by-step explanation:

To obtain the recursive function, you must take into account the next:

1. Angela paints 4 pictures in 7 days, by this, you can say Angela paints 4/7 of a picture by day.

2. Angela paints additional 1 picture by day, with this, the number of pictures painted additionally is equal to the time t (because 1 day = 1 picture, 2 days = 2 pictures and so on). With the data taken into account, we can elaborate the next function:

PP(t) = t + [tex]\frac{4}{7}t[/tex]

Where:

PP: Painted pictures.t: time in days.

For example, if you need to know how many pictures she painted in the first week, you can calculate replacing t by 7:

PP(t) = t + [tex]\frac{4}{7}t[/tex] PP(7) = 7 + [tex]\frac{4}{7}*7[/tex]PP(7) = 7 + 4PP(7) = 11

If she paints for another 5 days (I mean 12 days taking into account the initial week), we can calculate:

PP(t) = t + [tex]\frac{4}{7}t[/tex] PP(12) = 12 + [tex]\frac{4}{7}*12[/tex]PP(12) = 12 + [tex]\frac{48}{7}[/tex]PP(12) = [tex]\frac{132}{7}[/tex]PP(12) = 18.86

To the day 12, Angela will paint 18.86 pictures.

Answer 2

Answer:

The recursive function that gives the total number of pictures she will have painted at any day in the future is  

next = now + 1, starting at 4 , and the total number of pictures after a week plus 5 days is  9.

.

Step-by-step explanation:


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Step-by-step explanation:

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Answers

Answer:

your answer should be C.

Step-by-step explanation:

brainliest?

The transformation of the parent function f ( x ) = | x | by a compression of 5 units is given by g ( x ) = ( 1/5 ) | x |

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

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Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

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Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = | x |   be equation (1)

On simplifying , we get

when the function is stretched vertically by a factor , we get

Vertical stretch by a factor k: y = k × f(x)

And , when it is compressed by a factor of k = 5 units

The transformed function is g ( x ) = ( 1/5 ) | x |

Hence , the transformed function is g ( x ) = ( 1/5 ) | x |

To learn more about transformation of function click :

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DUE SOON HELP ASAP

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

When a point is reflected off of the y-axis both points change.

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Step-by-step explanation:

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Step-by-step explanation:

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D = 10m

Step-by-step explanation:

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Answers

Answer:

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answer is A

Step by step exploration

Answer:

A

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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You can't determine what it is going to land on but this is the answer!

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