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ivann1987 [24]
2 years ago
15

Fin find the 31st term in -3, -5, -7, -9

Mathematics
1 answer:
vaieri [72.5K]2 years ago
6 0

Answer:

-63

Find common difference:

  • -5 -(-3)
  • -5 + 3
  • -2

nth term:

  • a + (n-1)(d)      <u>[where a is first term, d is common difference]</u>
  • -3 + (n-1)(-2)
  • -3 -2n + 2
  • -2n -1

So 31st term:

  • -2(31) -1
  • -63
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Answer:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

Step-by-step explanation:

So we have the function:

f(x)=e^{6x}-9

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

x=e^{6f^{-1}(x)}-9

Add 9 to both sides:

x+9=e^{6f^{-1}(x)}

Take the natural log of both sides:

\ln(x+9)=\ln(e^{6f^{-1}(x)})

The right side cancels:

\ln(x+9)=6f^{-1}(x)

Divide both sides by 6:

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Answer:

f-¹(x) = 2x – 8

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3 years ago
4 divided by 1/3 is 12 becuase
Alex17521 [72]

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

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