Cho A= [ -4;4] B= ( 1;7] Xác định A B

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

4 0

To find the intersection of A and B figure who has the bigger lower bounds and smaller upper bounds out of A and B.

The lower bound of A is -4 while the lower bound of B is (but not including) 1. So the lower bound will be (1.

The upper bound of A is 4 while the upper bound of B is 7. So the resulting upper bound will be 4].

Put these together and get (1,4].

Hope this helps :)

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Find the product for 2(2n + 3)

pogonyaev

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Step-by-step explanation:

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3 years ago

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe

nirvana33 [79]

Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125

A graph of the solution verifies that the solution is correct.