A certain bank charges its customers $1.50 each time they use an automatic teller machine that is not owned by the bank. The bank is charged $0.50 each time one of its
customers uses a machine that is not owned by the bank. If x represents the number of
out-of-bank automatic teller machine transactions that take place each month, what
expression could be used to find the bank's profit?

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

An ice cream shop sells 5 times as many cakes cones as waffle cones. use x to represent the number of waflle cones the ice cream shop sells and use the variable to write an expresion for the number of cake cones the ice cream shop sells. enter the expression for the number of cake cones the the ice cream shop sells