1.y=2×2+7x – 3
x ? ? ? y
The figure above shows the graph of a function f, defined by f(x)=|2x|+4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?
A g(x) x–2
B g(x) x 3
C g(x) 2x – 2
D g(x) 2x 3
E g(x) 3x – 2
3.Each employee of a certain company is in either Department X or
Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company?
Indicate all such amounts.
4.Working alone at its constant rate, machine A produces k car parts in 10 minutes. Working alone at its constant rate, machine B produces k car parts in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce k car parts?
1)If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008 ?
2)At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008 ?
Give your answer to the nearest 0.1 percent.
3)Which of the following statements must be true?
Indicate all such statements.
B –1 3
C 0 3
D 1 3
each of the other four stores.
B The dollar amount of sales at Store S for 2008 was 22 percent less than that for 2006.
C The dollar amount of sales at Store R for 2008 was more than 17 percent greater than that for 2006.
6.A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?
7.A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a number in the list that is 2 standard deviations above the mean, what is the value of x ? x=______