Select the correct answer. What transformations are applied to the graph of the function f (x)= 10^x to produce the graph of the function g(x)=3(10)^x– 2?

A a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
B. a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
C. a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units
D. a vertical dilation by a factor of 3 and a vertical shift down 2 units

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Afarm is to be built in the shape of quadrilateral abcd, as shown below. all four sides are equal. a rhombus abcd is shown with diagonal ac equal to 15.5 feet and diagonal bd equal to 13.2 feet. what is the area of the farm? pleas only pick from the 4 below 62 square feet 52.8 square feet 57.4 square feet 102.3 square feet