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Alex Ar [27]
3 years ago
12

Pls look at the screenshot

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

x

x \geqslant  - 7

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A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic
babymother [125]

Answer: f(x) = -0.016x² + 1.6x

Step-by-step explanation:

If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.

So, we have

(0,0) (50,40) (100,0)

A quadratic function is always on the form: f(x) = ax² + bx + c

0 = a0² + b0 + c

40 = a50² + b50 + c

0 = a100² + b100 + c

0 = a0² + b0 + c → c = 0 ∴

40 = a50² + b50

0 = a100² + b100

_________________________

2500a + 50b = 40 (*2)

10000a + 100b = 0

_________________________

5000a + 100b = 80

10000a + 100b = 0 (-)

__________________________

-5000a = 80

-a=80/5000

a=-0.016

∴

2500a + 50b = 40

2500.(-0.016) + 50b = 40

-40 + 50b = 40

50b = 80

b = 80/50

b = 1.6

This way f(x) = -0.016x² + 1.6x

6 0
3 years ago
You have 12 shirts and plan to wear a different one each day from Monday
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It should be 95,040. On the first day, you have 12 choices. On the second, eleven, and so on, until day 5. 12x11x10x9x8.
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Len [333]

Tn=n²+3

from 4 to 7....the difference is 3, then from 7 to 12 the difference is 5 and from 12 to 19 the difference is 7

therefore we constantly add 2 to the difference

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<img src="https://tex.z-dn.net/?f=%20%5Csf%20%5Clarge%20%5C%3A%20If%20%20%5C%3A%20y%20%3D%20Sin%20x%20%20%5C%3A%20%2A%20Cos%20%2
DIA [1.3K]

Answer:

  • cos (x) cos (2x) - 2sin(x) sin(2x)

Solution:

(See the solution in the photo)

8 0
2 years ago
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I think the answer is (-6,6)
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