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3 years ago

Perform the indicated opera 6) g(n)= n2 - 1 h(n)= 4n+1 Find (g. h)n)

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

$(g.h)(n)\,\,is\,\,4n^3+n^2-4n-1\\$

Step-by-step explanation:

We are given:

$g(n)=n^2-1\\h(n)=4n+1$

We need to find (g.h)(n)

Finding (g.h)(n)

$(g.h)(n)=g(n).h(n)\\ (g.h)(n)=(n^2-1)(4n+1)\\ (g.h)(n)=n^2(4n+1)-1(4n+1)\\ (g.h)(n)=4n^3+n^2-4n-1\\$

So, $(g.h)(n)\,\,is\,\,4n^3+n^2-4n-1\\$

Keywords: Composite Function

Learn more about Composite Function at:

#learnwithBrainly

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Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o

Shtirlitz [24]

Answer with Step-by-step explanation:

Let x and y are two numbers

According to question

$x^2+y^2=100$ ....(1)

Suppose x is larger than y

$x^2=x(4y+8x)$

$x=4y+8x$

$x-8x=4y$

$-7x=4y$

$y=-\frac{7}{4}x$

Substitute the value of y

$x^2+(-\frac{7}{4}x)^2=100$

$x^2+\frac{49}{16}x^2=100$

$\frac{16x^2+49x^2}{16}=100$

$\frac{65}{16}x^2=100$

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$x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}$

$y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}$

3 0

3 years ago

Help me please,Thanks

Ugo [173]

The answer to this question would be the last choice (this data has no outliers)

Explanation: The reason for this is that an outlier is basically any number or value that kind of stands off or is very separated from a set of data.

For example, if I had the numbers 1,2,3,2,9,5,7,5,8,4 and 47, 47 would definitely be an outlier as it's significantly greater than the rest of the data.

The data shown in your question doesn't vary a lot though, (it's contained within a range of 65 and 80- no number seems to be radically different).

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3 years ago

In a cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the ratio

VMariaS [17]

the ratio would be 40:60

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3 years ago

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Answer:

Step-by-step explanation: