1 If x is a negative inter, which of the following expressions has the least value?
A x^2-0.50
B x^2-0.51
C x^3-0.502
D x^3-0.511
E x^4-0.512
Answer: D
我觉得不管包不包括-1都不该D 呀
2 For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is
A between 2 and 10
B between 10 and 20
C between 20 and 30
D between 30 and 40
E grater than 40
Answer: E
这题是怎么一个思路呢?完全不知道
3 The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged
D 40% increase
我觉得应该100%呀, 可没这个选项
Answer: D
4 The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A:13
Answer: A
不知道应该怎么做,也不可能试数亚
我试着答一下:
1、因为X是负数,X^2和X^4M则一定大于0,而在选项中只有x^3是负数啦,只能选c或d.而C、D比较很明显就是d小啦。
2、根据条件方程式可表达为:h(100)+1=2*4*----*100+1 =(2-100*2)/(1-2) +1=199.
而199本身就是质数,自然选E为大于40的数啦。
3、没看太懂,觉得是不是给的条件不足啊。
4、可分解成75=5^2+7^2+1^2 而5+7+1=13.
三,题目要读懂,就是两次比例不变,求variability
A^2(1+x)^2=2A^2
x=0.4=40%
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