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spayn [35]
3 years ago
11

Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:5

Step-by-step explanation:

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Write an equation for each translation of Y=|x|.
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\boxed{y=\mid x \mid +14}

<h2>Explanation:</h2>

Let's graph the equation:

y=\mid x \mid

Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to \mid x \mid. In doing so we get the new function:

y=\mid x \mid + 14

So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:

Vertex \ of \ the \ red \ graph: \\ \\ V(0,0) \\ \\ \\ Vertex \ of \ the \ new \ graph: \\ \\ (0,0+14) \\ \\ (0,14)

So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of y=\mid x \mid 14 units up is y=\mid x \mid +14

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Horizontal and vertical shift: brainly.com/question/13774447#

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A police officer seals off the scene of an accident using a roll of yellow tape that is 272 feet long. What dimensions should be
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Answer:

  68 feet square

Step-by-step explanation:

The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...

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You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...

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The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.

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The diagram shows a wedge in the shape of a prism.
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To 3 significant figures:
19.3 cm
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