smithrebeccas smithrebeccas
  • 15-01-2024
  • Mathematics
contestada

for which value of p is 1/(2p+1) the reciprocal of 3

Respuesta :

Mickeym175
Mickeym175 Mickeym175
  • 15-01-2024

Answer:

[tex]p=1[/tex]

Step-by-step explanation:

The reciprocal of 3 is [tex]\frac{1}{3}[/tex]

and since [tex]\frac{1}{2p+1} and \frac{1}{3}[/tex] share the same numerator we just need to set the deominators equal to each other

[tex]2p+1=3[/tex]

Subtract both sides by 1

[tex]2p=2[/tex]

Divide both sides by 2

[tex]p=1[/tex]

I hope this helps :)

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