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AnnZ [28]
3 years ago
6

Solve each system by graphing or using a table. Check your answers.

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer: there is no solution

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
devlian [24]

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

4 0
3 years ago
Which statement is true regarding the graphed functions?
vaieri [72.5K]

Answer:

probably b

Step-by-step explanation:

5 0
3 years ago
These 12 shapes are put into a bag. If you reach
Svetlanka [38]
25 times :) hope this helped!
3 0
2 years ago
What is -1/19,7/4,-4/7 in least to greatest
r-ruslan [8.4K]

Answer:

-4/7 is the smallest. then it's -1/19 and then finally it's 7/4

7 0
3 years ago
Read 2 more answers
Please help me with this!
notsponge [240]

4 babies and 7 adults 

  B head=4x1=4    Aheads (3x7)=21     21+4=25 heads

B wings    4x2=8  A wings(4x7)=28       28+8=36


4 0
3 years ago
Read 2 more answers
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