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croxy0514
19.01.2020 •
Mathematics
Abag of baby carrots and a container of hummus dip contain a total of 650 calories. for a snack, rosarita ate of the bag of carrots and of the container of hummus. her snack contained a total of 260 calories. if x represents the total number of calories in the bag of carrots and y represents the total number of calories in the container of hummus, what is one of the equations for this scenario?
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Ответ:
0, 15); y equals one over sixty times x squared plus 15
Step-by-step explanation:
Assuming the halfpipe is only useful if the curve opens upward, the "base" (vertex) must be below the focus, so cannot be at (0, 60).
Apparently, the ground is supposed to be the directrix of the curve. Then the vertex is halfway between the focus and the ground, so is at (0, 15). The focus-vertex distance (p) is then 30-15 = 15, so the coefficient of the squared term is 1/(4p) = 1/(4·15) = 1/60.
For a vertex of (0, 15) and a vertical scale factor of 1/60, the equation of the curve is ...
y = (1/60)x^2 +15 . . . . matches the last choice