Analyze the solution shown.
1. –|–x| = 7: given
2. |–x| = –7: multiplication property of equality
3. –x = 7 or –x = –7: definition of absolute value
4. x = –7 or x = 7: multiplication property of equality
5. check: –|–(–7)| = 7, –7 ≠ 7
–|–7| = 7, 7 = 7
negative times negative is positive.

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)

How many different three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 without repetition? for example, 664 is not allowed.