Answer:
The right answer to your question is the third option
Step-by-step explanation:
5 √12xm³
First find the prime factors of 12
12 2
6 2
3 3
1 Then 12 = 2² 3
and m³ = m m²
So 5 √ 2² 3 x m m²
and 5 (2)(m) √ 3xm
10 m √ 3xm
Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
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B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
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C . Vertex is halfway between focus and directrix, at (6,1)
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D. The focus lies above the directrix, so the parabola opens upwards.
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E. Focal length p = 1/(4×0.5)
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F. p = 0.5
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G. y = 0.5(x-6)² + 1
A.) R(20) = -10(20)^2 + 800(20) = -10(400) + 16000 = -4000 + 16000 = $12,000
R(25) = -10(25)^2 + 800(25) = -10(625) + 20000 = -6250 + 20000 = $13,750
R(30) = -10(30)^2 + 800(30) = -10(900) + 24000 = -9000 + 24000 = $15,000
b.) For maximum revenue, dR/dp = 0
dR/dp = -20p + 800 = 0
20p = 800
p = 40
Therefore, the maximum revenue will be recorded when the price is set at $40.
Answer:
x = 2 and y = 3
Step-by-step explanation:
We have
x+2y = 8 -----equation (i)
2x-y = 1 -----equation (ii)
Now,
x+2y = 8
or, x = 8-2y ------equation (iii)
Again,
2x-y = 1
or, 2x = 1+y
or, 2x-1 = y
Putting the value of 'x' from equation (iii)
or, 2(8-2y)-1 = y
or, 16-4y-1 = y
or, 16-1 = y+4y
or, 15 = 5y
or, y = 15/5
or, y = 3
Putting the value of 'y' in equation (iii)
x = 8-2y
or, x = 8-(2×3)
or, x = 8-6
or, x = 2
Therefore, x = 2 and y = 3.
112 <span>≥ b+128
First: You would subtract 128 on both sides of your sign
You would get: -16</span><span>≥ b <That is your answer
HOPE THIS HELPS! ^_^</span>
