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Vinvika [58]
2 years ago
6

7

Mathematics
1 answer:
Valentin [98]2 years ago
5 0

9514 1404 393

Answer:

  A.  -1 ≤ x ≤ 3

Step-by-step explanation:

The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...

  -1 ≤ x ≤ 3

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Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
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pashok25 [27]

Answer:

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8 0
2 years ago
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sweet [91]

Answer:

6 is the integer which is equivalent to 9 and 3 halves

Step-by-step explanation:

we have to find the integer which is equivalent to 9 and 3 halves

Rule of halves means the restatement of meaning of median. Therefore, we have to find the median of these two integers 9 and 3.

Median of 9 and 3 is \frac{9+3}{2}=\frac{12}{2}=6

Hence, 6 is the integer which is equivalent to 9 and 3 halves

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3 years ago
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Answer:

The awnser is D hope this helps :)

Step-by-step explanation:


4 0
3 years ago
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Answer:

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Step-by-step explanation:

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