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babunello [35]
3 years ago
7

The parabola y-- (x – 3)2 + 6 has its focus at (3, 1). Determine and state the equation of the directrix.​

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer: you got to Find the focus of a parabola given its equation. If you have the equation of a parabola in vertex form , then the vertex is at and the focus is . Notice that here we are working with a parabola with a vertical axis of symmetry, so the -coordinate of the focus is the same as the -coordinate of the vertex.

Step-by-step explanation:

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3 years ago
Lucy has some pennies and some nickels. She has a maximum of 15 coins worth a minimum of $0.47combined.If lucky has 6.9999999999
Verdich [7]

Answer:

Step-by-step explanation:

The worth of a penny is 1 cent = 1/100 = $0.01

The worth of a nickel is 5 cents = 5/100 = $0.05

Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that

6.999999999999999 + x ≥ 15

x ≥ 15 - 6.999999999999999

x ≥ 8

If the 15 coins worth a minimum of $0.47combined, it means that

0.05(6.999999999999999) + 0.01x ≤ 0.47

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0.01x ≤ 0.47 - 0.35

0.01x ≤ 0.12

x ≤ 0.12/0.01

x ≤ 12

Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12

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3 years ago
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Alan is on the swim team. Each week he swims a total of 6000 meters. How many kilometers does he swim each week
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Answer:

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Step-by-step explanation:

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1. \frac{20}{100}

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3 years ago
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