yanhuiluzhang yanhuiluzhang
  • 23-01-2021
  • Mathematics
contestada

the function f is defined by f(x)=150/x-z where z is a constant. find z if the value of f at x=1/5 is equal to 250

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clarch19
clarch19 clarch19
  • 23-01-2021

Answer:

x = -1 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

f([tex]\frac{1}{5}[/tex]) = 120, therefore we can create this equation:

120 = 150 ÷ ([tex]\frac{1}{5}[/tex] - z)

cross-multiply to get: 24 - 120z = 150

-120z = 126

z = -1 [tex]\frac{3}{60}[/tex]

Answer Link
chonupapa chonupapa
  • 24-01-2021

Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

Answer Link

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