This is the answer to the problem. Hope it helps
Hello :
f(x) = (2x-5)/3
<span>f−1(x) = (3x+5)/2
because : f(x) 0 </span>f−1(x) = x and f−1(x) 0 f(x) = x
f(x) 0 f−1(x) = f( f−1(x) ) = f ((3x+5)/2) = (2(3x+5)/2 - 5))/3 = 3x /3 =x
same cacul for : f−1(x) 0 f(x) = x
Answer:
Step-by-step explanation:
<u>Finding corresponding side lengths</u> :
<u>Trapezium ABCD</u>
- AB = √(-2)² + (-1)² = √5
- BC = √(-1)² + (2)² = √5
- CD = √(2)² + (2)² = 2√2
- DA = √(-1)² + (5)² = √26
<u>Trapezium EFGH</u>
- EF = √(2)² + (1)² = √5
- FG = √(1)² + (2)² = √5
- GH = √(-2)² + (2)² = 2√2
- HE = √(1)² + (5)² = √26
As the corresponding side lengths are equal, we can conclude that the trapezoids are congruent.
Answer:
The correct answer is D.
Step-by-step explanation:
Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.
Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.
Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.
Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.
