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netineya [11]
4 years ago
7

If f(n ) = n^2 + 1 and g(n) = 2n - 5, Find f(n) - g(n)

Mathematics
1 answer:
gogolik [260]4 years ago
5 0

Answer:

=n^2-2n+6

Step-by-step explanation:

f(n ) = n^2 + 1

g(n) = 2n - 5

f(n)-g(n)=(n^2 + 1)-(2n - 5)

\left(n^2+1\right)-\left(2n-5\right)

=n^2+1-\left(2n-5\right)

=n^2+1-2n+5

=n^2-2n+6

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<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept

Writing our equation in slope intercept form:

2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2

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5 0
3 years ago
Write the equation of the line in slope-intercept form
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Step-by-step explanation:

  • you would subtract both y  7
  • subtract both x    -8
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3 years ago
What is 481 divided by 8?Is it 60 with a remainder of 1 ?
Marizza181 [45]
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4 years ago
4 a + 5 b when a = 4 and b = - 1.2
Firdavs [7]

The answer is 10.

4 a + 5 b when a = 4 and b = - 1.2

8 0
3 years ago
Read 2 more answers
Find the mean 35 40 12 16 25 10
ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

Mean~=~\frac{Sum~of~terms}{Number~of~terms}

<u>Substitute values into the formula</u>

Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}

<u>Combine like terms</u>

Mean~=~\frac{75~+~28~+~35}{6}

Mean~=~\frac{103~+~35}{6}

Mean~=~\frac{138}{6}

<u>Simplify the fraction</u>

\Large\boxed{Mean=23}

Hope this helps!! :)

Please let me know if you have any questions

4 0
2 years ago
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