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3 years ago

6

At the beginning of a basketball season, the panthers won 40 games out of 100 games. At this rate, how many games will they win

in a normal 110-game season?

1 answer:

denis23 [38]3 years ago

7 0

At the rate of winning, they should win 44 games in normal 110-game season.

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

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First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

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Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

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3 years ago

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A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?

vaieri [72.5K]

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

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