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Sergio [31]
3 years ago
6

The height of a fireworks rocket in meters can be approximated by h= -5t^2+30t, where h is the height in meters and t is the tim

e in seconds. Find the time it takes the rocket to reach the ground after it has been launched
Mathematics
2 answers:
boyakko [2]3 years ago
7 0

Answer:

It takes 6 seconds to the rocket to reach the ground after it has been launched

Step-by-step explanation:

The height of a fireworks rocket in meters can be approximated by :

h = -5t² + 30t, where h is the height in meters and t is the time in seconds

Now, we need to find the time it takes the rocket to reach the ground after it has been launched

So, When it touches the ground height will be 0

⇒ h = 0

⇒ 0 = -5t² + 30t

⇒ t² - 6t = 0

⇒ t(t - 6) = 0

Now, since the rocket is launched from above the ground ⇒ t ≠ 0

⇒ t - 6 = 0

⇒ t = 6

Hence, It takes 6 seconds to the rocket to reach the ground after it has been launched

Crazy boy [7]3 years ago
3 0

It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.

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Answer:

7,7.5,8,8.1

Step-by-step explanation:

count 1 to 10. See what comes first and that's how you determine what comes first.

5 0
3 years ago
Which ordered pair is a solution to the inequality?<br><br> Help please!!
Murrr4er [49]

Choice A is the answer which is the point (1,-1)

=========================================

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

-------------

checking choice A

plug in (x,y) = (1,-1)

y - 2x \le -3

-1 - 2(1) \le -3

-3 \le -3

This is true because -3 is equal to itself. So this is the answer.

-------------

checking choice B

plug in (x,y) = (2,4)

y - 2x \le -3

4 - 2(2) \le -3

0 \le -3

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

-------------

checking choice C

plug in (x,y) = (-2,3)

y - 2x \le -3

3 - 2(-2) \le -3

7 \le -3

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

-------------

checking choice D

plug in (x,y) = (3,4)

y - 2x \le -3

4 - 2(3) \le -3

-2 \le -3

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.


4 0
3 years ago
Each month, a phone company charges $20 for 500 minutes of talk time plus $0.45 for each additional minute. Unlimited texting co
slavikrds [6]

Answer:

Hello there! I hope your having a good day. I'm not exactly sure about this answer: 50o=30 u+(20m+.45a)

Step-by-step explanation:

8 0
3 years ago
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7 0
3 years ago
Need help with this please
Crazy boy [7]

Answer:

1. 2(k + 3)

2. 3. 75 + k

Step-by-step explanation:

1. 2x + 6

Since, 2 is a common factor of 2 and 6, we can take that common outside.

So, 2x + 6 = 2(x + 3)

Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.

2. (1.5 + k) + 2.25

This is simple addition. We can simply remove the brackets to have:

1.5 + k + 2.25

Since, the like terms can be added, we will have:

1.5 + 2. 25 + k

= 3. 75 + k

8 0
3 years ago
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