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raketka [301]
4 years ago
5

FIRST TO ANSWER GETS BRAINLIEST! A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simples

t form?
Mathematics
1 answer:
denis23 [38]4 years ago
6 0

Answer:

n^2+6n+1

Step-by-step explanation:

AB would be (n) * (2n + 6). We need to distribute the n, so we multiply the n by each term within the parentheses and add those products together:

AB = n(2n+6)=2n^2+6n

C is just n^2-1 , and we subtract this from 2n^2+6n:

2n^2+6n-(n^2-1)=2n^2+6n-n^2+1=n^2+6n+1

Thus, the answer is n^2+6n+1.

Hope this helps!

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Based on the data shown by the scatterplot on the distances in the solar system, a. an exponential model is appropriate because the scatterplot relating distance to temperature is curved.

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arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

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