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melomori [17]
3 years ago
9

6 points

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

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Alex_Xolod [135]

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

<h3>How to determine the probability?</h3>

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

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1 year ago
at shop and shop ,shaquana buys 3 pounds of squash and 2 pounds of eggplants and pays $2.85.then ,evelyn buys 4 pounds of squash
Montano1993 [528]

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.

3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:

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Solving equation 1 and 2 simultaneously gives:

x = 0.49, y = 0.69

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

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the final temperature was -2 F, and that reflects a drop of 13 units, so


-2------0------------------------------------------------------+11.

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