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Sergeu [11.5K]
2 years ago
13

What is the approximate solution to this equation?

Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0

Answer:

  C.  x ≈ 0.28

Step-by-step explanation:

A graphing calculator solution is attached. It shows ...

  x ≈ 0.28

__

You can divide both sides of the given equation by 5, then take natural logs and divide by 5 again.

  5e^(5x) = 20 . . . . . . given

  e^(5x) = 4 . . . . . . . . divide by 5

  5x = ln(4) . . . . . . . . take natural logs

  x = ln(4)/5 . . . . . . . divide by 5

  x ≈ 0.277259 ≈ 0.28

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If (y + 1) varies directly as square root of x and y =14 when x = 27, find the value of y when
marysya [2.9K]

Answer:

22.1 or 22

Step-by-step explanation:

Y + 1 varies√x

Y + 1 = K√x ( k is costant)

so we solve for K

given: 14 + 1 = K√27

15 = K√27

divide both sides by √27

15/√27 = K

to find the value of y

y + 1 = 15/√27 (8) : substitute K for 15/√27

Y + 1 = 120/√27

i.e Y = 120/√27 - 1

Y = 23.1 - 1

Y = 22.1 or 22

5 0
2 years ago
Which of the following is the inverse of y=3^x?
mojhsa [17]

For this case, we must find the inverse of the following function:

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We follow the steps below:

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Answer:

f ^ {- 1} = log_ {3} (x)

Option B

4 0
3 years ago
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Step-by-step explanation:

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