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Mathematics

1 answer:

Sergeu [11.5K]2 years ago

5 0

Using translation concepts, it is found that the transformations to create function d are given as follows:

Horizontal shift right 1 unit.

Vertical shift up 5 units.

Frequency multiplied by 2.

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.

5 was added in the range, hence there was a vertical shift up 5 units.

There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

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3 years ago

Your grade at the start of quarter 3 was a 68, at the end of the quarter it was a 91. What is the percent change in grade?

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3 years ago

Need help....... thx

Blababa [14]

I got 75582.

Explanation:

First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.

Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is $n = {19\choose{11}}=75582$