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3 years ago

15

To solve the inequality -4x < 8, you would divide both sides of the inequality by -4. true or false

1 answer:

Lelechka [254]3 years ago

6 0

True
but, you can also add 4x to both sides then mius 8 from both sides then divide both sides by 4 as well

true is the answer (if this is a trick to see if I remember to flip the sign, then you also have to flip the sign when dividing by a negiatve number, don't forget)

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(a) $s(44) = 3.52*10^{6}ft$

(b) $v(44) = 10*x^{5} ft/s$

(c) $a(44) = 3636ft/s^{2}$

Step-by-step explanation:

$s(t) = 1818t^{2}$

(a) when t = 44sec

$s(44) = 1818(44^{2}) = 1818(1936)\\ \\s(44) = 3519648ft$

s(44) ≅ $3520000=3.52*10^{6}ft$

(b) How fast the hammer is traveling i.e. the speed of the hammer.

To find speed, we differentiate the distance s(t) with respect to time, t

$speed,v=\frac{ds(t)}{dt}=\frac{d}{dt}(1818t^{2}) \\\\v = 1818*2t^{2-1}= 1818*2t\\ \\v = 3636t$

at t = 44sec,

$v = 3636*44=159984ft/s$

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(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t

$acceleration, a = \frac{dv}{dt}=\frac{d}{dt}(3636t)\\ \\a = 3636*1= 3636\\\\a = 3636ft/s^{2}$

There's no need to substitute t = 44sec because the acceleration is independent of time.

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