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Dmitry_Shevchenko [17]
2 years ago
10

4 more than the difference of 12 and a number j

Mathematics
1 answer:
Nat2105 [25]2 years ago
7 0

Answer:

This doesnt make sense but if you are just looking for a number four more than the difference of 12 and a random number do 15 because 12-1 is 11 and plus 4 is 15.

Step-by-step explanation:

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What is the y-intercept, axis of symmetry and vertex of the following function.
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Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

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2 years ago
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irina1246 [14]
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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