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NNADVOKAT [17]
3 years ago
15

For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Show all work to earn f

ull credit. (4 points)
Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

Vertex: (1,3)

Maximum

Step-by-step explanation:

y = -2x² + 4x + 1

y = -2(x² - 2x) + 1

y = -2(x² - 2(x)(1) +1² - 1²) + 1

y = -2(x - 1)² + 3

Vertex: (1,3)

Maximum

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In a​ state's Pick 3 lottery​ game, you pay ​$1.15 to select a sequence of three digits​ (from 0 to​ 9), such as 966. If you sel
m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

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Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

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D) If we call the net profit "y", then Expected value is:

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The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0
3 years ago
A tanker of capacity 200 litres has 12.05 litres of oil. how much more oil can be poured into the tanker ?
Scilla [17]

Answer:

187.95 liters.

Step-by-step explanation:

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200 - 12.05 = 187.95

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3 years ago
Write a linear function f with the values f(2)=4 and f(−7)=9. A function is f(x)=
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Answer:

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f(x) = -5/9 x + 5 1/9

check for (-7, 9)    f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9

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