Complex zeros of 4x^4-13x^3+31x^2+293x-75
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To answer the question, let B call the amount of meat and P the number of potatoes.
The recipe says that for every pound of meat we need 3 potatoes.
Then that relationship is written as follows:
If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.
Then the relationship is:
But
Therefore, the proportion that represents the situation remains the same
This occurs because the increase in the amount of potatoes and beef was in the same proportion.
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 ( )
2 -> 3 ( )
3 -> -1/3 ( )
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
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- Heather