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3 years ago

Rewrite without absolute value sign for different values of x.

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

y= |−2x+5|-|2x−5|

if x<−2.5, then 2x-5 is negative and -2x+5 is positive

So, y = -2x+5 - -(2x-5) = -2x+5+2x-5 = 0

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if x>2.5, then -2x+5 is negative and 2x-5 is positive

So y = -(-2x+5) - (2x-5) = 2x-5-2x+5 = 0

if −2.5≤x≤2.5 then y = 5-5 = 0

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Simpler solution::

Rewrite your problem as::

y = |-(2x-5)|-|(2x-5)]

Since |a| = |-a|, y = 0

Please mark me for the Brainliest !

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An object at the top of a building with height 110 feet is thrown upward with an initial speed of 23 ft/s. Find its position z(t

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Given

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A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh

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The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet