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3 years ago

14

I need help with some geometry workbook pages!

1 answer:

UNO [17]3 years ago

4 0

Answer: D

Step-by-step explanation:

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A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

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 $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

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

$t=2,6$

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.

$6-2=4$

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

3 0

3 years ago

Andrew solved the following inequality, and his work is shown below:

Nataly_w [17]

It’s B. When dividing by -2, he did not change the direction of the sign

3 0

3 years ago

Please i need this fast and a explanation

svp [43]

9514 1404 393

Answer:

any real number

Step-by-step explanation:

The value of 7^0 is 1, so the equation is ...

1^x = 1

This is true for any value of x. Possible values of x are "any real number."

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3 years ago

While shopping for gifts, Asha bought 4 candles and 2 picture frames for $20, Jacob bought 6 candles and 1 picture frame for $18

Jobisdone [24]

Answer:

B

Step-by-step explanation:

I added all of then and then subtracted 47 from the 50.

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2 years ago

The mean crying time of infants during naptime at a local preschool is 12 mins. The school implements a new naptime routine in a

love history [14]

Answer:

Step-by-step explanatio n: ummmoirnd iehcn

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3 years ago