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3) Janel is a bungee-jumper preparing for a legally approved jump off of a bridge over water. Janel wants to just touch
the water on her jump. Janel's path of travel is represented by f(x) = 25x2 – 120x + 144. Janel will jump from the start,
z=0. How many meters will Janel travel laterally before she touches the water?

Respuesta :

Answer:

2.4 meters

Step-by-step explanation:

Take f(x) = 0 to find lateral distance covered.

0 = 25x² - 120 + 144

=> (5x - 12)²

=> x = 12/5

=> x = 2.4 meters

So f(x) is 0

[tex]\\ \rm\hookrightarrow 25x^2-120x+144=0[/tex]

[tex]\\ \rm\hookrightarrow (5x)^2-2(5x)(12)+12^2=0[/tex]

[tex]\\ \rm\hookrightarrow (5x-12)^2=0[/tex]

[tex]\\ \rm\hookrightarrow 5x-12=0[/tex]

[tex]\\ \rm\hookrightarrow 5x=12[/tex]

[tex]\\ \rm\hookrightarrow x=12/5[/tex]

[tex]\\ \rm\hookrightarrow x=2.4m[/tex]

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