A class collects $50 to buy flowers for a classmate who is in the hospital. Roses cost $3 each, and carnations cost $2 each. No other flowers are to be used. How many different bouquets could be purchased for exactly $50?_______
给出下列四个命题: ①当时,有; ②中, 当且仅当; ③已知是等差数列的前项和,若,则; ④函数与函数的图像关于直线对称. 其中正确命题的序号为 .
已知定义域为的函数满足:①对任意的实数,都有;②当时,.记函数,则函数在区间内的零点个数是___ _.
已知函数,则函数的最大值为 .
已知函数,则的最小值等于 .
设,若当时,不等式恒成立,则________.