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ch4aika [34]
2 years ago
9

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Mathematics
1 answer:
Gwar [14]2 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

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What is the slope of the line that passes through the points (2 3) and (–2 6)?
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Answer: Choice B) -3/4

------------------------------------------

Work Shown

Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4

Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible. 

The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.
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3 years ago
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Artist 52 [7]

Answer:

3

Step-by-step explanation:

Plug in 2 for x:

5-2 - 3

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Answer:

D. 144

Step-by-step explanation:

find the volume of the shipping container and divide it by the volume of a box.

2\frac{2}{3} × 1 × 2 = \frac{16}{3}

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