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Yuliya22 [10]
4 years ago
11

G(n)= 2n-3 f(n)= 2n + 1 Find (g•f)(n)

Mathematics
1 answer:
Vitek1552 [10]4 years ago
6 0

Answer:

Step-by-step explanation:

(2n -3)(2n+1) = 4n^2 + 2n - 6n - 3 = 4n^2 - 4n -3

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Step-by-step explanation:

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Solve for n please, with work , thank you!
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\huge \boxed{\mathfrak{Question} \downarrow}

\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Solve the inequality algebraically.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Use the distributive property to multiply -4 by 2n-8.

\sf1-3n>-1-8n+32

  • Add -1 and 32 to get 31.

\sf1-3n>31-8n

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\sf1-3n+8n>31

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\sf1+5n>31

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\sf5n>31-1

  • Subtract 1 from 31 to get 30.

\sf5n>30

  • Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.

\sf \: n>\frac{30}{5}  \\

  • Divide 30 by 5 to get 6.

\boxed{ \boxed{ \bf \: n>6 }}

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Write a quadratic function that has a vertex of (2,-3) and goes through the point (1,3).
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Step-by-step explanation:

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Answer:

  see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

__

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

  y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

  y +2 = -3(x -4)

  y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

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