## College Algebra (6th Edition)

a. $0.49x$ b. No, 49% of its original price
a. $(x-0.3x)-0.3(x-0.3x)$ Factor out $(x-0.3x)$ $= (x-0.3x)(1-0.3)$ Factor out $x$ from $(x-0.3x)$ $= x(1-0.3)(1-0.3)$ $= x(1-0.3)^{2}$ $= x(0.7)^{2}$ $=(0.49) x$ b. From part (a), sale price of the television is $(0.49) x$ $=(49/100 ) x$ where x is the original price So. the television store is selling at 49% of original price.