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xxMikexx [17]
3 years ago
5

What is the solution to the inequality x+(7+2x)<-3x

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Solution, x+7+2x

Steps:

x+7+2x

\mathrm{Group\:like\:terms}, x+2x+7

\mathrm{Add\:similar\:elements:}\:x+2x=3x, 3x+7

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}, 3x+7-7

\mathrm{Simplify}, 3x

\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}, 3x+3x

\mathrm{Simplify}, 6x

\mathrm{Divide\:both\:sides\:by\:}6, \frac{6x}{6}

\mathrm{Simplify}, x

\mathrm{The\:Correct\:Answer\:is\:x

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

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andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

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Step-by-step explanation:

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Step-by-step explanation:

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Adding the initial 125 feet to this, you get a total height of 1069 feet. Hope this helps!

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