Answer:
I hope I helped you^_^
1)
1 answer:
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We know that
<span>Vertex (0, 0) and directrix y = 4
is a vertical parabola------> open down (directrix above the vertex)
the equation is of the form
(y-k)=4p(x-h)</span>²--------> y=4p*x²-------> vertex (0,0)
y=4
y=h-p-----> y=-p
p=-4
the equation of the parabola is
y=-16x²
the answer is
y=-16x²
see the attached figure
<span>Vertex (0, 0) and directrix y = 4
is a vertical parabola------> open down (directrix above the vertex)
the equation is of the form
(y-k)=4p(x-h)</span>²--------> y=4p*x²-------> vertex (0,0)
y=4
y=h-p-----> y=-p
p=-4
the equation of the parabola is
y=-16x²
the answer is
y=-16x²
see the attached figure
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
hourly
Mt. Winterpark
hourly
First, we need to illustrate the amount of snow as an equation in both cases.
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
Mt. Winterpark
Next, we make a table to show the data.
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches