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Vlada [557]
3 years ago
13

Perform the indicated operation. -6 + (-5) + 7

Mathematics
2 answers:
olga2289 [7]3 years ago
5 0

the answer to this problem is -4

ArbitrLikvidat [17]3 years ago
4 0

the answer should be-4


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Which of the following expressions is equivalent to 1/3^-3?
sweet [91]
I believe B . Because it seems equivalent
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What is the measure of angle J in the triangle? Drawing is not to scale
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39 degrees is the answer
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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

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3 years ago
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Which is greater 525 centimeters or 5 meters ?
zubka84 [21]
525 centimeters is greater than 5 meters. 525 cm = 5.25 m

Thus, 525 cm is greater than 5 meters.
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Please help ASAP!! Algebra (equation in picture)
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[-8,8] because both points are closed points.
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