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hram777 [196]
3 years ago
8

How to figure out the equation for this graph?

Mathematics
1 answer:
EastWind [94]3 years ago
3 0

9514 1404 393

Answer:

  y = x² -6

Step-by-step explanation:

It helps to remember what the coordinates of a point on a graph mean.

  (x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis

If we subtract 6 from the y-value, the point will move down on the graph by 6 units.

__

The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...

  (x, y) = (x, x²)

When we subtract 6 from the y-value, the points become ...

  (x, x² -6)

That is, the new (shifted) value of y is ...

  y = x² -6

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a ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 mea
Helga [31]


<span> <span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>

    <span><span>2n = -3m + 280
</span>      </span><span>n = -3/2 m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>

 <span><span>2n = -5m + 320
</span> </span><span>n = -5/2m + 160
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</span>-3/2m + 140 = -5/2m + 160 </span>

<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
</span> </span><span>m = 20
</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>


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Answer:

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Decimal Form:

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Mixed Number Form:

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Step-by-step explanation:

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