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Solnce55 [7]
3 years ago
8

How to write a piecewise function with two absolute value?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0
Basically, a piecewise function is two different functions that meet at a certain point on a graph, such as x=2 as the meeting point, the first function has to be to the left of two(less then two)... the second number has to be to the right of two (greater than two) you can make one of the components equal to 2 if you would like to make your function continuous an just plug in the absolute value instead of the linear equation when you do an abs.
     Hope this helps

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A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum
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Answer:

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Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

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Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

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Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

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56 = 15l - l²

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l(l - 8) -7(l - 8) = 0

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w = 15 - l

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w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

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