An album sells for $12.00 through an online music service. If the album is 20% off, and sales tax is 5%, what is the total price of the album including tax?

Final price = 9.6*(105/100) = 9.6*1.05 = 10.08 $

Step-by-step explanation:

The original price of the album is 12 to find out the price after the discount is applied we need to compute 100% - 20% = 80% of the original price. So we can use the following expression:

Price after discount = original price * (80/100)

Price after discount = 12 * (80/100)

Price after discount = 12 * 0.8 = 9.6 $

Now we have to include the sale tax of 5%, since it's a tax we need to add it to the original value so 100% + 5% = 105% of the sale's price:

Final price = Price after discount * (105/100)

Final price = 9.6*(105/100) = 9.6*1.05 = 10.08 $

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1