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gregori [183]
4 years ago
14

1 ½ x 4 2/9 = 2 ⅘ x ⅕ = 4 3/7 x ⅚ = 6/6 x 1 ¼ = 1 ¼

Mathematics
1 answer:
just olya [345]4 years ago
3 0
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A spa charges 40 dollars for a day pass and 20 dollars extra for treatments. What is the cost of going to the spa if you get 2 t
sergij07 [2.7K]

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$80 dollars.

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4x - 5= 2(2x - 1) -3
Alekssandra [29.7K]

Answer and Step-by-step explanation:

Solve for x.

Distribute the 2.

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5 0
3 years ago
Given f(x) = (-1/7)(sqrt 16-x^2), find f^-1(x). Then state whether the inverse is a function.
Viefleur [7K]

Answer:

  • f^-1(x) = ±√(16 -49x^2) . . . . -4/7 ≤ x ≤  0
  • not a function

Step-by-step explanation:

The usual method of finding the inverse of a function is to solve for y the equation ...

  x = f(y)

The inverse is only defined on the range of the original function, so for ...

  0 ≥ x ≥ -4/7

Here, that looks like ...

  x = (-1/7)√(16 -y^2)

  -7x = √(16 -y^2) . . . multiply by -7

  49x^2 = 16 -y^2 . . . square both sides

  y^2 + 49x^2 = 16 . . . add y^2

  y^2 = 16 -49x^2 . . . . subtract 49x^2

  y = ±√(16 -49x^2) . . . . take the square root

So, the inverse function is ...

  f^-1(x) = ±√(16 -49x^2) . . . . . defined only for -4/7 ≤ x ≤ 0

This gives two output values for each input value, so is not a function.

_____

The original f(x) is the bottom half of an ellipse, so does not pass the horizontal line test. It cannot have an inverse function.

8 0
4 years ago
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