Two students, carlos and sophie, factored the trinomial -4x2 − 10x + 6. sophie factored it as -2(2x − 1)(x + 3) and carlos factored it as (x + 3)( -4x + 2). indicate which student factored the trinomial completely and which student did not, and explain why. (10 points)

In the equations, a and b represent the price per night for a room in hotel a and hotel b, respectively, w weeks after september 1 last autumn. what was the price per night in hotel a when it was equal to the price per night in hotel b? a = 240 − 20w b = 320 − 30w

The area of square garden is 300m squared. how long is the diagonal?

Amountain climber starts a climb at an elevation of 453 feet above sea level at his first rest stop he has climbed 162 feet and by his second rest stop he has climbed another 207 feet its getting late in the day so the climber starts his way down if the climber desends 285 feet how much does he need to ascend or descend to return to the original starting point