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What is the solution to the equation1 over the square root of 8 = 4(m + 3)? (1 point)


m = − 15 over 4
m = − 11 over 4
m = 5 over 4
m = 9 over 4

Respuesta :

RRYAAN

Answer:

Step-by-step explanation:

4 m + 8 = sqrt(2)/4 Subtract 8 from both sides: 4 m + (8 - 8) = (sqrt(2))/4 - 8 8 - 8 = 0: 4 m = (sqrt(2))/4 - 8 Put each term in (sqrt(2))/4 - 8 over the common denominator 4: (sqrt(2))/4 - 8 = (sqrt(2))/4 - 32/4: 4 m = (sqrt(2))/4 - 32/4 (sqrt(2))/4 - 32/4 = (sqrt(2) - 32)/4: 4 m = (sqrt(2) - 32)/4 Divide both sides by 4: Answer: m = (sqrt(2) - 32)/(4×4)

mhanifa

Answer:

  • A) m = − 15 over 4

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The equation should read:

  • [tex]1/\sqrt{8}=4^{m+3}[/tex]

Solve it in below steps:

  • [tex]1/\sqrt{2^3}=(2^2)^{m+3}[/tex]
  • [tex]1/2^{3/2}=2^{2(m+3)}[/tex]
  • [tex]2^{-3/2}=2^{2m+6}[/tex]
  • [tex]-3/2=2m+6[/tex]
  • [tex]-3=4m+12[/tex]
  • [tex]4m=-15[/tex]
  • [tex]m=-15/4[/tex]

Correct choice is A.

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