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alina1380 [7]
3 years ago
5

How to solve this task 4×-2+1=3×+5

Mathematics
1 answer:
just olya [345]3 years ago
8 0
4x-2+1=3x+5

Subtract 3x from both sides

x-2+1=5

Same as

x-1=5

Add 1 to both sides

x=6
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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
What is the answer ?
sergiy2304 [10]

Answer:

First box: 2

Second box: 30

Third box: 42

Step-by-step explanation:

5 sixes means 5 · 6, which equals 30. An unknown amount of sixes equals 12, which is 2 because 2 · 6 = 12.

30 + 12 = 42

7 · 6 = 42, so 42 is the answer.

I hope this helped! :)

4 0
3 years ago
Read 2 more answers
Which fraction is equivalent to 0.36 (repeating 0.36666) 3/6 36/100 4/11 9/25
Dima020 [189]

Answer:

Step-by-step explanation:

3/6 is 0.5

36/100 is 0.36

4/11 is 0.363636

9/25 is 0.36

Hope it helped :)

5 0
3 years ago
Does 5^9 x 6^7= 30^16 ?
Gemiola [76]

Yes. When solving a problem like this, multiply the base numbers normally, and add the exponents together.

If you need more help, comment below and I'd be happy to assist.

5 0
3 years ago
Can you guys help with me
Anika [276]

Answer:

x=8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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