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Fofino [41]
4 years ago
12

The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9?

Mathematics
1 answer:
Anna71 [15]4 years ago
8 0
Rate=[14-(-2)]/(9-5)=16/4=4

f/g = 2x(2x+3)/[(x+5)(2x+3)]= 2x/(x+5)

f=g⇒x2-6x+8=x-2⇒x2-7x+10=0⇒(x-2)(x-5)=0 so, x=2,5 are the solutions
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Step-by-step explanation:y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3

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Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

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  3 = x +10.5 . . . . . . divide both sides by -2

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_____

<em>Additional comment</em>

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

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