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Fittoniya [83]
3 years ago
5

Please help. Thank you so much

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

Average decrease in value per year: $70

Step-by-step explanation:

600 ---> 250

600 - 250 = 350

350 / 5 = 70

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A point is reflected across the x-axis. The new point is (7.5,6). What is the distance between these two points?
blagie [28]
Because it was reflected across the x axis, the distance between the two points is twice the distance of the old point from the x axis, and the distance from the old point from the x axis equals the distance from the new point to the x axis. The distance from the x axis is the absolute value of the x=y value. 7.5 is the y value, meaning the point is 7.5 units away from y=0, the x axis. The new point is twice this from the old point. 7.5 x 2 = 15. The new point is 15 units away from the old point.
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What is the 99 times x=4
Musya8 [376]
The answer i x=4/99  (fraction form )

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F(x)=4x-3 g(x)=x^3+2x find (f-g)(4)
Roman55 [17]
<span>((f-g)(4) means f(4) - g(4).)</span><span>im pretty sure the answer  -59 </span>
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3 years ago
The parent function f(x)=x^2 is translated such that the function g(x)=-x^2+6x-5 represented the new function. What is true abou
Alla [95]
<h3>Answer:</h3>
  • g(x) has an axis of symmetry at x = 3
  • g(x) is shifted right 3 units from the graph of f(x)
  • g(x) is shifted up 4 units from the graph of f(x)
<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

... g(x) = -(x -3)² +4

This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)

_____

<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

... g(x) = -1(x² -6x) -5

Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...

... g(x) = -1(x² -6x +9) -5 +9

... g(x) = -(x -3)² +4 . . . . . vertex form

_____

<em>About transformations</em>

g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.

g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.

g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.

Here, we have all three of these transformations. First is the reflection:

... f₁(x) = -f(x) = -x²

Then we have shifting to the right 3 units. (also moves the axis of symmetry)

... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

4 0
3 years ago
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Please help with this. Thank you very much.
Harman [31]
Here's a graph with 4 points shown.

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3 years ago
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