Since 36x² + 60x + 25 is the perfect square trinomial, we use this formula a² + 2ab + b² = (a + b)². Hence, the solution is (6x + 5)²
Answer:
B
Step-by-step explanation:
Let us denote the smaller even integer by
.
Then, the next even integer must be
.
To verify, set
as any even number, say
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be
378 and
380.
Check this:
43 is the median, the mean is 36.6 (36.57 rounded up) and since none of the numbers repeat, there isn't really a mode.
Hope this helps