<h3>
Answer: 3^15</h3>
Work Shown:
3^12 * 27
3^12 * 3^3
3^(12+3)
3^15
I used the rule a^b*a^c = a^(b+c) on the third step.
There can only be one solution to question number 2. The answer to question number 3 is 4x=24 because you would add 4 to each side of the equation.
Answer:
y = 4 - sin⁻¹x
Step-by-step explanation:
1. Reflection about y = x
If we reflect a function ƒ(x) about the line y = x, we are creating its inverse, ƒ'(x).
Thus, reflection of y = sinx about y = x gives y = sin⁻¹x.
The range of the reflection extends from -∞ to +∞, but the range of the function y = sin⁻¹x is [-π/2, π/2] (see Fig. 1)
.
2. Reflection about y = 2
Reflection about y = 2 retains the sign of x but changes the sign of y.
Note, however, that in Figure 2 the point at (0, 0) is reflected to (4, 0).
The function is translated up by four units.
After the two reflections, the equation of the line is
y = 4 - sin⁻¹x
5. since 2/3 cups goes into 1 tortilla , if she finds out how many 1/3 cups go into 8 cups, she would need to divide that amount
6, since it takes less than 1 cup for each tortilla, she should be able to fill more than 8