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Svetradugi [14.3K]
3 years ago
5

He scored 3 goals at Saturdays gams and scored 5 goals in yesterdays game . What is his percent of increase?

Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0

Answer: his percent of increase = 66.66%

Step-by-step explanation:

percent of increase = Increase/ Previous goal x 100

Previous goal = 3 goals

Yesterday's goal = 5 goals

Percent of increase = (5-3) / 3 x 100

=2/3 x 100

=0.6666 x 100

=66.66%

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astra-53 [7]

Given:

The given equation is:

-3t^2+24t=h

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To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

-3t^2+24t=h

The height of the ball is at least 36 feet above the ground. It means h\geq 36.

-3t^2+24t\geq 36

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Splitting the middle term, we get

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The critical points are:

-3(t-2)(t-6)=0

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These two points divide the number line in 3 intervals (-\infty,2),(2,6),(6,\infty).

Intervals      Check point           -3(t-2)(t-6)\geq 0           Result

(-\infty,2)               0                       (-)(-)(-)=(-)         False

(2,6)                    4                       (-)(+)(-)=+>0            True

(6,\infty)                  8                        (-)(+)(+)=(-)        False

The inequality is true for (2,6) and the sign of inequality is \geq. So, the ball is above 36 feet between 2 to 6 seconds.

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Therefore, the required inequality is -3t^2+24t\geq 36 and the ball is 36 feet above for 4 seconds.

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3 years ago
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ladessa [460]

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Step-by-step explanation:

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