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3 years ago

If Anna and Tamera drive 5x - 5 hours over the four days and the plan to travel 4.5

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Answer:

17.5 hours

Step-by-step explanation:

5x-5 over 4 days and the plan to travel 4.5 hours each day. WE have to find how many hours will they drive each day. Now, to find the total time pu x to 4.5 in the above expression. 5(4.5)-5

= 22 * 5-5 = 17. 5 hours over the four days of traveling

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Find the expected value of the winnings

Bas_tet [7]

Answer:

2.65

Step-by-step explanation:

Multiply each payout by its probability, then add those products.

See the attached image.

The first column has the payouts. The second column has the probabilities. The third column has the results of multiplying a payout by its probability.

The sum of the entries in the third column is 2.65

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3 years ago

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The factory has 6 cutting machines. Each cutting machine cuts 105 parts every 3 minutes. How many parts can all 6 cutting machin

Murrr4er [49]

Answer:28

Step-by-step explanation:

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3 years ago

6 points

kodGreya [7K]

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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3 years ago

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