Answer:

Step-by-step explanation:
The given function is

To find the inverse of this function, we interchange x and y.

we now solve for y.

Take the sine inverse of both sides to obtain;

Hence the inverse of the given function is;

where 
= .91(.85)(.82) = .63427
<span>or 63.427% of the original price
so your answer is B</span>
Answer:

Step-by-step explanation:
S = second; F = flying time.
Since it can flap its wings 30 times, each second, we have already found our answer. The relationship between flying time (Wing flaps) and seconds is 30. In other words, it beats it's wings 30 times each second. Which is what the question asks.
Now we just have to write the equation:

This is because the seconds are <u>dependent</u> on the flap of wings, so s would be the y value.
Hope it Helps!
Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
3x-10=x+4 is the equation...